Publications
2026
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The Riemannian convex bundle method ArticleJournal of Nonsmooth Analysis and Optimization 6 · 2026doi:10.46298/jnsao-2026-16115
BibLaTeX
@ARTICLE{BergmannHerzogJasa:2026:1, AUTHOR = {Bergmann, Ronny and Herzog, Roland and Jasa, Hajg}, DATE = {2026-10}, DOI = {10.46298/jnsao-2026-16115}, JOURNALTITLE = {Journal of Nonsmooth Analysis and Optimization}, TITLE = {The Riemannian convex bundle method}, VOLUME = {6}, } -
Subspace accelerated measure transport methods for fast and scalable sequential experimental design, with application to photoacoustic imaging ArticleSIAM/ASA Journal on Uncertainty Quantification 14(4), p.1476-1503 · 2026arXiv:2502.20086 doi:10.1137/25m1735329
BibLaTeX
@ARTICLE{CuiKovalHerzogScheichl:2026:1, AUTHOR = {Cui, Tiangang and Koval, Karina and Herzog, Roland and Scheichl, Robert}, PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)}, DATE = {2026-10}, DOI = {10.1137/25m1735329}, EPRINT = {2502.20086}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM/ASA Journal on Uncertainty Quantification}, NUMBER = {4}, PAGES = {1476--1503}, TITLE = {Subspace accelerated measure transport methods for fast and scalable sequential experimental design, with application to photoacoustic imaging}, VOLUME = {14}, } -
Preconditioned latent variable proximal point method for optimal control problems with control constraints Preprint2026arXiv:2610.16678
BibLaTeX
@ONLINE{HaafHerzog:2026:1, AUTHOR = {Haaf, Nico and Herzog, Roland}, DATE = {2026-10}, EPRINT = {2610.16678}, EPRINTTYPE = {arXiv}, TITLE = {Preconditioned latent variable proximal point method for optimal control problems with control constraints}, } -
Machine learning for thermodynamic property modeling ProceedingsOberwolfach Reports 23(2) · 2026doi:10.4171/owr/2026/26
BibLaTeX
@ARTICLE{HerzogMartinek:2026:1, AUTHOR = {Herzog, Roland and Martinek, Viktor}, EDITOR = {Ghattas, Omar and Heinkenschloss, Matthias and Reich, Sebastian and Schillings, Claudia}, PUBLISHER = {European Mathematical Society Publishing House}, BOOKTITLE = {Workshop: Mathematical Foundation of Digital Twins}, DATE = {2026-10}, DOI = {10.4171/owr/2026/26}, JOURNALTITLE = {Oberwolfach Reports}, NUMBER = {2}, TITLE = {Machine learning for thermodynamic property modeling}, VOLUME = {23}, } -
Adaptive step sizes for stochastic gradient descent in Hilbert spaces ArticleOptimization Methods and Software, p.1-38 · 2026doi:10.1080/10556788.2026.2730446
BibLaTeX
@ARTICLE{KoehneKreisSchielaHerzog:2026:1, AUTHOR = {Köhne, F. and Kreis, L. and Schiela, A. and Herzog, R.}, PUBLISHER = {Informa UK Limited}, DATE = {2026-10}, DOI = {10.1080/10556788.2026.2730446}, JOURNALTITLE = {Optimization Methods and Software}, PAGES = {1--38}, TITLE = {Adaptive step sizes for stochastic gradient descent in Hilbert spaces}, } -
Controlling nematic fields through shape optimization Preprint2026doi:10.2139/ssrn.7499226
BibLaTeX
@ONLINE{LiGomezMeloWeissSchmidtHerzogSchwarz:2026:1, AUTHOR = {Li, David and Gomez Melo, Santiago and Weiß, Manuel and Schmidt, Stephan and Herzog, Roland and Schwarz, Ulrich Sebastian}, PUBLISHER = {Elsevier BV}, DATE = {2026-09}, DOI = {10.2139/ssrn.7499226}, TITLE = {Controlling nematic fields through shape optimization}, } -
Solving semi-linear elliptic optimal control problems with L1-cost via regularization and RAS-preconditioned Newton methods ArticleNumerical Algorithms 102(4), p.2547-2581 · 2026arXiv:2411.00546 doi:10.1007/s11075-025-02209-3
BibLaTeX
@ARTICLE{CiaramellaKartmannMueller:2025:1, AUTHOR = {Ciaramella, Gabriele and Kartmann, Michael and Müller, Georg}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2026-08}, DOI = {10.1007/s11075-025-02209-3}, EPRINT = {2411.00546}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Numerical Algorithms}, NUMBER = {4}, PAGES = {2547--2581}, TITLE = {Solving semi-linear elliptic optimal control problems with $L^1$-cost via regularization and RAS-preconditioned Newton methods}, VOLUME = {102}, } -
A data‐driven closed‐loop control approach to drive neural state transitions for mechanistic insight ArticleHuman Brain Mapping 47(11) · 2026bioRxiv:2025.07.21.665992 doi:10.1002/hbm.70600
BibLaTeX
@ARTICLE{EmondsHerbergGerchenPritschRochaZamoscikKirschHerzogKoppe:2026:1, AUTHOR = {Emonds, Niklas and Herberg, Evelyn and Gerchen, Martin Fungisai and Pritsch, Marc and Rocha, Joshua and Zamoscik, Vera and Kirsch, Peter and Herzog, Roland and Koppe, Georgia}, PUBLISHER = {Wiley}, DATE = {2026-08}, DOI = {10.1002/hbm.70600}, EPRINT = {2025.07.21.665992}, EPRINTTYPE = {bioRxiv}, JOURNALTITLE = {Human Brain Mapping}, NUMBER = {11}, EID = {e70600}, TITLE = {A data‐driven closed‐loop control approach to drive neural state transitions for mechanistic insight}, VOLUME = {47}, } -
Symbolic regression for shared expressions – introducing partial parameter sharing ProceedingsParallel Problem Solving from Nature – PPSN XIX, p.251-266 · 2026arXiv:2601.04051 doi:10.1007/978-3-032-36229-2_16
BibLaTeX
@INPROCEEDINGS{MartinekHerzog:2026:2, AUTHOR = {Martinek, Viktor and Herzog, Roland}, PUBLISHER = {Springer Nature Switzerland}, BOOKTITLE = {Parallel Problem Solving from Nature -- PPSN XIX}, DATE = {2026-08}, DOI = {10.1007/978-3-032-36229-2_16}, EPRINT = {2601.04051}, EPRINTTYPE = {arXiv}, PAGES = {251--266}, TITLE = {Symbolic regression for shared expressions -- introducing partial parameter sharing}, } -
SensLI: sensitivity-based layer insertion for residual and feedforward neural networks ArticleJournal of Machine Learning 5(3), p.353-390 · 2026arXiv:2311.15995 doi:10.4208/jml.251016
BibLaTeX
@ARTICLE{KreisHerbergKoehneSchielaHerzog:2026:1, AUTHOR = {Kreis, Leonie and Herberg, Evelyn and Köhne, Frederik and Schiela, Anton and Herzog, Roland}, DATE = {2026-07}, DOI = {10.4208/jml.251016}, EPRINT = {2311.15995}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Journal of Machine Learning}, NUMBER = {3}, PAGES = {353--390}, TITLE = {SensLI: sensitivity-based layer insertion for residual and feedforward neural networks}, VOLUME = {5}, } -
Multi-type sensor placement for PDE-based Bayesian inverse problems Preprint2026arXiv:2607.08074
BibLaTeX
@ONLINE{MaioAlexanderianKovalNicholson:2026:1, AUTHOR = {Maio, Steven and Alexanderian, Alen and Koval, Karina and Nicholson, Ruanui}, DATE = {2026-07}, EPRINT = {2607.08074}, EPRINTTYPE = {arXiv}, TITLE = {Multi-type sensor placement for PDE-based Bayesian inverse problems}, } -
A shared expression to predict monomer consumption in itaconate–acrylate radical copolymerizations developed with symbolic regression Preprint2026doi:10.26434/chemrxiv.15005769/v1
BibLaTeX
@ONLINE{MartinekDracheMatussekBaumertArendesFiosinaFrotscherHerzogBeuermann:2026:1, AUTHOR = {Martinek, Viktor and Drache, Marco and Matussek, Frederic and Baumert, Moritz and Arendes, Lennart and Fiosina, Jelena and Frotscher, Ophelia and Herzog, Roland and Beuermann, Sabine}, PUBLISHER = {American Chemical Society (ACS)}, DATE = {2026-07}, DOI = {10.26434/chemrxiv.15005769/v1}, TITLE = {A shared expression to predict monomer consumption in itaconate--acrylate radical copolymerizations developed with symbolic regression}, } -
Shape Segmentation and Denoising Based on Total-Variation Functionals ThesisPh.D. thesis, Heidelberg University · 2026doi:10.11588/heidok.00038720
BibLaTeX
@THESIS{Weiss:2026:1, AUTHOR = {Weiß, Manuel}, INSTITUTION = {Heidelberg University}, DATE = {2026-06-09}, DOI = {10.11588/heidok.00038720}, TITLE = {Shape Segmentation and Denoising Based on Total-Variation Functionals}, TYPE = {phdthesis}, } -
EL-Shellability of the poset of ranked cactuses Preprint2026arXiv:2606.08724
BibLaTeX
@ONLINE{MoultonSpillnerStavemann:2026:1, AUTHOR = {Moulton, Vincent and Spillner, Andreas and Stavemann, Antonia}, DATE = {2026-06}, EPRINT = {2606.08724}, EPRINTTYPE = {arXiv}, TITLE = {EL-Shellability of the poset of ranked cactuses}, } -
Two models for surface segmentation using the total variation of the normal vector ArticleJournal of Mathematical Imaging and Vision 68(4) · 2026arXiv:2412.00445 doi:10.1007/s10851-026-01303-y
BibLaTeX
@ARTICLE{WeissBaumgaertnerWeiglBergmannSchmidtHerzog:2026:1, AUTHOR = {Weiß, Manuel and Baumgärtner, Lukas and Weigl, Laura and Bergmann, Ronny and Schmidt, Stephan and Herzog, Roland}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2026-06}, DOI = {10.1007/s10851-026-01303-y}, EPRINT = {2412.00445}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Journal of Mathematical Imaging and Vision}, NUMBER = {4}, TITLE = {Two models for surface segmentation using the total variation of the normal vector}, VOLUME = {68}, } -
Shape constraints in symbolic regression using penalized least squares ChapterMachine Learning and Principles and Practice of Knowledge Discovery in Databases, p.224-239 · 2026arXiv:2405.20800 doi:10.1007/978-3-032-25305-7_16
BibLaTeX
@INBOOK{MartinekReuterFrotscherMostaghimRichterHerzog:2026:1, AUTHOR = {Martinek, Viktor and Reuter, Julia and Frotscher, Ophelia and Mostaghim, Sanaz and Richter, Markus and Herzog, Roland}, EDITOR = {Cerrato, Mattia and Kalinauskaitė, Danguolė and Lukoševičius, Mantas and Pechenizkiy, Mykola and Šutienė, Kristina}, PUBLISHER = {Springer Nature Switzerland}, BOOKTITLE = {Machine Learning and Principles and Practice of Knowledge Discovery in Databases}, DATE = {2026-05}, DOI = {10.1007/978-3-032-25305-7_16}, EPRINT = {2405.20800}, EPRINTTYPE = {arXiv}, PAGES = {224--239}, TITLE = {Shape constraints in symbolic regression using penalized least squares}, } -
Reference correlation of the viscosity of neon ArticleInternational Journal of Thermophysics 47(5) · 2026doi:10.1007/s10765-026-03745-3
BibLaTeX
@ARTICLE{SotiriadouAntoniadisAssaelMartinekTholHuber:2026:1, AUTHOR = {Sotiriadou, Sofia and Antoniadis, Konstantinos D. and Assael, Marc J. and Martinek, Viktor and Thol, Monika and Huber, Marcia L.}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2026-04}, DOI = {10.1007/s10765-026-03745-3}, JOURNALTITLE = {International Journal of Thermophysics}, NUMBER = {5}, TITLE = {Reference correlation of the viscosity of neon}, VOLUME = {47}, } -
Nonlinear Optimization Techniques Applied to Neural Network Training ThesisPh.D. thesis, Heidelberg University · 2026doi:10.11588/heidok.00038315
BibLaTeX
@THESIS{Kreis:2026:1, AUTHOR = {Kreis, Leonie}, INSTITUTION = {Heidelberg University}, DATE = {2026-03-25}, DOI = {10.11588/heidok.00038315}, TITLE = {Nonlinear Optimization Techniques Applied to Neural Network Training}, TYPE = {phdthesis}, } -
Total generalized variation of the normal vector field and applications to mesh denoising ArticleSIAM Journal on Imaging Sciences 19(1), p.584-611 · 2026arXiv:2507.13530 doi:10.1137/25m1779437
BibLaTeX
@ARTICLE{BaumgaertnerBergmannHerzogSchmidtWeiss:2026:1, AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Weiß, Manuel}, PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)}, DATE = {2026-03}, DOI = {10.1137/25m1779437}, EPRINT = {2507.13530}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM Journal on Imaging Sciences}, NUMBER = {1}, PAGES = {584--611}, TITLE = {Total generalized variation of the normal vector field and applications to mesh denoising}, VOLUME = {19}, } -
Modeling and simulation of device performance in organic photovoltaics Preprint2026arXiv:2601.05596
BibLaTeX
@ONLINE{CilogluTretmansDeibelMacKenzieHerzogPietschmannStoll:2026:1, AUTHOR = {Çiloğlu, Pelin and Tretmans, Carmen and Deibel, Carsten and MacKenzie, Roderick and Herzog, Roland and Pietschmann, Jan-F. and Stoll, Martin}, DATE = {2026-01}, EPRINT = {2601.05596}, EPRINTTYPE = {arXiv}, TITLE = {Modeling and simulation of device performance in organic photovoltaics}, } -
Fast symbolic regression benchmarking ChapterAdvances in Swarm Intelligence, p.307-317 · 2026arXiv:2508.14481 doi:10.1007/978-981-95-0985-0_25
BibLaTeX
@INBOOK{Martinek:2025:3, AUTHOR = {Martinek, Viktor}, PUBLISHER = {Springer Nature Singapore}, BOOKTITLE = {Advances in Swarm Intelligence}, DATE = {2026}, DOI = {10.1007/978-981-95-0985-0_25}, EPRINT = {2508.14481}, EPRINTTYPE = {arXiv}, PAGES = {307--317}, TITLE = {Fast symbolic regression benchmarking}, } -
Correlation for the viscosity of methane (CH4) from the triple point to 625 K and pressures to 1000 MPa ArticleInternational Journal of Thermophysics 47(1) · 2026doi:10.1007/s10765-025-03690-7
BibLaTeX
@ARTICLE{SotiriadouAntoniadisAssaelMartinekHuber:2025:1, AUTHOR = {Sotiriadou, Sofia G. and Antoniadis, Konstantinos D. and Assael, Marc J. and Martinek, Viktor and Huber, Marcia L.}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2026-01}, DOI = {10.1007/s10765-025-03690-7}, JOURNALTITLE = {International Journal of Thermophysics}, NUMBER = {1}, TITLE = {Correlation for the viscosity of methane (CH4) from the triple point to 625~K and pressures to 1000~MPa}, VOLUME = {47}, }
2025
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Geometry denoising with preferred normal vectors Preprint2025arXiv:2511.04848
BibLaTeX
@ONLINE{WeissBaumgaertnerHerzogSchmidt:2025:1, AUTHOR = {Weiß, Manuel and Baumgärtner, Lukas and Herzog, Roland and Schmidt, Stephan}, DATE = {2025-11}, EPRINT = {2511.04848}, EPRINTTYPE = {arXiv}, TITLE = {Geometry denoising with preferred normal vectors}, } -
Metric Frobenius norms and inner products of matrices and linear maps ArticleLinear Algebra and its Applications 727, p.112-128 · 2025arXiv:2311.15419 doi:10.1016/j.laa.2025.08.005
BibLaTeX
@ARTICLE{HerzogKoehneKreisSchiela:2025:1, AUTHOR = {Herzog, Roland and Köhne, Frederik and Kreis, Leonie and Schiela, Anton}, DATE = {2025-08-08}, DOI = {10.1016/j.laa.2025.08.005}, EPRINT = {2311.15419}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Linear Algebra and its Applications}, PAGES = {112--128}, TITLE = {Metric Frobenius norms and inner products of matrices and linear maps}, VOLUME = {727}, } -
Preconditioning for a Cahn-Hilliard-Navier-Stokes model for morphology formation in organic solar cells ArticleJournal of Computational Physics 540 · 2025arXiv:2501.11767 doi:10.1016/j.jcp.2025.114280
BibLaTeX
@ARTICLE{CilogluTretmansHerzogPietschmannStoll:2025:2, AUTHOR = {Çiloğlu, Pelin and Tretmans, Carmen and Herzog, Roland and Pietschmann, Jan-F. and Stoll, Martin}, DATE = {2025-08-07}, DOI = {10.1016/j.jcp.2025.114280}, EPRINT = {2501.11767}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Journal of Computational Physics}, EID = {114280}, TITLE = {Preconditioning for a Cahn-Hilliard-Navier-Stokes model for morphology formation in organic solar cells}, VOLUME = {540}, } -
Non-intrusive optimal experimental design for large-scale nonlinear Bayesian inverse problems using a Bayesian approximation error approach ArticleJournal of Scientific Computing 104(3) · 2025arXiv:2405.07412 doi:10.1007/s10915-025-03008-7
BibLaTeX
@ARTICLE{KovalNicholson:2025:1, AUTHOR = {Koval, Karina and Nicholson, Ruanui}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2025-08}, DOI = {10.1007/s10915-025-03008-7}, EPRINT = {2405.07412}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Journal of Scientific Computing}, NUMBER = {3}, TITLE = {Non-intrusive optimal experimental design for large-scale nonlinear Bayesian inverse problems using a Bayesian approximation error approach}, VOLUME = {104}, } -
A DC-reformulation for gradient-L0-constrained problems Preprint2025arXiv:2506.11917
BibLaTeX
@ONLINE{DittrichHerbergHerzogMueller:2025:1, AUTHOR = {Dittrich, Bastian and Herberg, Evelyn and Herzog, Roland and Müller, Georg}, DATE = {2025-06}, EPRINT = {2506.11917}, EPRINTTYPE = {arXiv}, TITLE = {A DC-reformulation for gradient-$L^0$-constrained problems}, } -
Global convergence of semismooth Newton methods for quadratic problems ArticleGAMM Archive for Students 7(1), p.14-30 · 2025doi:10.14464/gammas.v7i1.810
BibLaTeX
@ARTICLE{RickmannHerbergHerzog:2025:1, AUTHOR = {Rickmann, Hannah and Herberg, Evelyn and Herzog, Roland}, PUBLISHER = {Technische Universität Chemnitz}, DATE = {2025-05}, DOI = {10.14464/gammas.v7i1.810}, JOURNALTITLE = {GAMM Archive for Students}, NUMBER = {1}, PAGES = {14--30}, TITLE = {Global convergence of semismooth Newton methods for quadratic problems}, VOLUME = {7}, } -
Experiences with physics-informed neural networks for optimal control problems ArticleGAMM Archive for Students 7(1), p.31-45 · 2025doi:10.14464/GAMMAS.V7I1.813
BibLaTeX
@ARTICLE{WagnerHerbergHerzog:2025:1, AUTHOR = {Wagner, Johannes and Herberg, Evelyn and Herzog, Roland}, PUBLISHER = {Technische Universität Chemnitz}, DATE = {2025-05}, DOI = {10.14464/GAMMAS.V7I1.813}, JOURNALTITLE = {GAMM Archive for Students}, NUMBER = {1}, PAGES = {31--45}, TITLE = {Experiences with physics-informed neural networks for optimal control problems}, VOLUME = {7}, } -
Modeling households’ behavior, energy system operation, and interaction in the energy community ArticleEnergy 328 · 2025doi:10.1016/j.energy.2025.136338
BibLaTeX
@ARTICLE{YuMascherbauerHauptSkornaRickmannKochanskiKranzl:2025:1, AUTHOR = {Yu, Songmin and Mascherbauer, Philipp and Haupt, Thomas and Skorna, Kevan and Rickmann, Hannah and Kochanski, Maksymilian and Kranzl, Lukas}, PUBLISHER = {Elsevier BV}, DATE = {2025-05}, DOI = {10.1016/j.energy.2025.136338}, JOURNALTITLE = {Energy}, EID = {136338}, TITLE = {Modeling households’ behavior, energy system operation, and interaction in the energy community}, VOLUME = {328}, } -
Datenassimilation und optimale Sensorplatzierung ChapterThermo-energetische Gestaltung von Werkzeugmaschinen, p.189-197 · 2025doi:10.1007/978-3-658-45180-6_12
BibLaTeX
@INCOLLECTION{NaumannRiedelHerzog:2025:1, AUTHOR = {Naumann, Andreas and Riedel, Ilka and Herzog, Roland}, PUBLISHER = {Springer Fachmedien Wiesbaden}, BOOKTITLE = {Thermo-energetische Gestaltung von Werkzeugmaschinen}, DATE = {2025-02}, DOI = {10.1007/978-3-658-45180-6_12}, PAGES = {189--197}, TITLE = {Datenassimilation und optimale Sensorplatzierung}, } -
Strukturmodelle von Werkzeugmaschinen ChapterThermo-energetische Gestaltung von Werkzeugmaschinen, p.19-45 · 2025doi:10.1007/978-3-658-45180-6_2
BibLaTeX
@INCOLLECTION{RudolphSauerzapfThiemNaumannBeitelschmidt:2025:1, AUTHOR = {Rudolph, Holger and Sauerzapf, Stefan and Thiem, Xaver and Naumann, Andreas and Beitelschmidt, Michael}, EDITOR = {Brecher, Christian}, PUBLISHER = {Springer Fachmedien Wiesbaden}, BOOKTITLE = {Thermo-energetische Gestaltung von Werkzeugmaschinen}, DATE = {2025-02}, DOI = {10.1007/978-3-658-45180-6_2}, PAGES = {19--45}, TITLE = {Strukturmodelle von Werkzeugmaschinen}, } -
Mesh denoising and inpainting using the total variation of the normal and a shape Newton approach ArticleSIAM Journal on Scientific Computing 47(1), p.A300-A324 · 2025arXiv:2012.11748 doi:10.1137/24m1646121
BibLaTeX
@ARTICLE{BaumgaertnerBergmannHerzogSchmidtVidalNunezWeiss:2025:1, AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José and Weiß, Manuel}, PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)}, DATE = {2025-01}, DOI = {10.1137/24m1646121}, EPRINT = {2012.11748}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM Journal on Scientific Computing}, NUMBER = {1}, PAGES = {A300--A324}, TITLE = {Mesh denoising and inpainting using the total variation of the normal and a shape Newton approach}, VOLUME = {47}, } -
Entropy scaling of viscosity IV—application to 124 industrially important fluids ArticleJournal of Chemical & Engineering Data 70(2), p.727-742 · 2025doi:10.1021/acs.jced.4c00451
BibLaTeX
@ARTICLE{MartinekBellHerzogRichterYang:2025:1, AUTHOR = {Martinek, Viktor and Bell, Ian and Herzog, Roland and Richter, Markus and Yang, Xiaoxian}, PUBLISHER = {American Chemical Society (ACS)}, DATE = {2025-01}, DOI = {10.1021/acs.jced.4c00451}, JOURNALTITLE = {Journal of Chemical \& Engineering Data}, NUMBER = {2}, PAGES = {727--742}, TITLE = {Entropy scaling of viscosity IV---application to 124 industrially important fluids}, VOLUME = {70}, }
2024
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Environmental and mental sustainability in academia ArticleEuropean Mathematical Society Magazine 134, p.50-52 · 2024doi:10.4171/mag/226
BibLaTeX
@ARTICLE{DeBlasiAngelesGarciaFerreroHerberg:2024:1, AUTHOR = {De Blasi, Irene and Ángeles García-Ferrero, María and Herberg, Evelyn}, PUBLISHER = {European Mathematical Society}, DATE = {2024-12}, DOI = {10.4171/mag/226}, JOURNALTITLE = {European Mathematical Society Magazine}, PAGES = {50--52}, TITLE = {Environmental and mental sustainability in academia}, VOLUME = {134}, } -
Uncertainty propagation of initial conditions in thermal models ArticleInternational Journal for Computational Methods in Engineering Science and Mechanics 25(6), p.475-488 · 2024arXiv:2306.12736 doi:10.1080/15502287.2024.2408291
BibLaTeX
@ARTICLE{BuengerHerzogNaumannStoll:2024:1, AUTHOR = {Bünger, Alexandra and Herzog, Roland and Naumann, Andreas and Stoll, Martin}, PUBLISHER = {Informa UK Limited}, DATE = {2024-10}, DOI = {10.1080/15502287.2024.2408291}, EPRINT = {2306.12736}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {International Journal for Computational Methods in Engineering Science and Mechanics}, NUMBER = {6}, PAGES = {475--488}, TITLE = {Uncertainty propagation of initial conditions in thermal models}, VOLUME = {25}, } -
Tractable optimal experimental design using transport maps ArticleInverse Problems 40(12) · 2024arXiv:2401.07971 doi:10.1088/1361-6420/ad8260
BibLaTeX
@ARTICLE{KovalHerzogScheichl:2024:2, AUTHOR = {Koval, Karina and Herzog, Roland and Scheichl, Robert}, PUBLISHER = {IOP Publishing}, DATE = {2024-10}, DOI = {10.1088/1361-6420/ad8260}, EPRINT = {2401.07971}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Inverse Problems}, NUMBER = {12}, EID = {125002}, TITLE = {Tractable optimal experimental design using transport maps}, VOLUME = {40}, } -
Unit-aware genetic programming for the development of empirical equations ProceedingsParallel Problem Solving from Nature – PPSN XVIII, p.168-183 · 2024arXiv:2405.18896 doi:10.1007/978-3-031-70055-2_11
BibLaTeX
@INPROCEEDINGS{ReuterMartinekHerzogMostaghim:2024:2, AUTHOR = {Reuter, Julia and Martinek, Viktor and Herzog, Roland and Mostaghim, Sanaz}, PUBLISHER = {Springer Nature Switzerland}, BOOKTITLE = {Parallel Problem Solving from Nature -- PPSN XVIII}, DATE = {2024-09}, DOI = {10.1007/978-3-031-70055-2_11}, EPRINT = {2405.18896}, EPRINTTYPE = {arXiv}, PAGES = {168--183}, TITLE = {Unit-aware genetic programming for the development of empirical equations}, } -
Nonlinear Fenchel conjugates Preprint2024arXiv:2409.04492
BibLaTeX
@ONLINE{SchielaHerzogBergmann:2024:1, AUTHOR = {Schiela, Anton and Herzog, Roland and Bergmann, Ronny}, DATE = {2024-09}, EPRINT = {2409.04492}, EPRINTTYPE = {arXiv}, TITLE = {Nonlinear Fenchel conjugates}, } -
A descent method for nonsmooth multiobjective optimization in Hilbert spaces ArticleJournal of Optimization Theory and Applications 203(1), p.455-487 · 2024doi:10.1007/s10957-024-02520-4
BibLaTeX
@ARTICLE{SonntagGebkenMuellerPeitzVolkwein:2024:1, AUTHOR = {Sonntag, Konstantin and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Volkwein, Stefan}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2024-09}, DOI = {10.1007/s10957-024-02520-4}, JOURNALTITLE = {Journal of Optimization Theory and Applications}, NUMBER = {1}, PAGES = {455--487}, TITLE = {A descent method for nonsmooth multiobjective optimization in Hilbert spaces}, VOLUME = {203}, } -
Optimal Control of Nonlocal Partial Differential Equations ThesisPh.D. thesis, Heidelberg University · 2024doi:10.11588/heidok.00034621
BibLaTeX
@THESIS{Hashemi:2024:1, AUTHOR = {Hashemi, Masoumeh}, INSTITUTION = {Heidelberg University}, DATE = {2024-03-27}, DOI = {10.11588/heidok.00034621}, TITLE = {Optimal Control of Nonlocal Partial Differential Equations}, TYPE = {phdthesis}, } -
An inexact semismooth Newton method with application to adaptive randomized sketching for dynamic optimization ArticleFinite Elements in Analysis and Design 228 · 2024doi:10.1016/j.finel.2023.104052
BibLaTeX
@ARTICLE{AlshehriAntilHerbergKouri:2024:1, AUTHOR = {Alshehri, Mohammed and Antil, Harbir and Herberg, Evelyn and Kouri, Drew P.}, PUBLISHER = {Elsevier BV}, DATE = {2024-01}, DOI = {10.1016/j.finel.2023.104052}, JOURNALTITLE = {Finite Elements in Analysis and Design}, EID = {104052}, TITLE = {An inexact semismooth Newton method with application to adaptive randomized sketching for dynamic optimization}, VOLUME = {228}, } -
Adaptive randomized sketching for dynamic nonsmooth optimization ChapterModel Validation and Uncertainty Quantification 3, p.107-116 · 2024doi:10.1007/978-3-031-37003-8_17
BibLaTeX
@INCOLLECTION{BaraldiHerbergKouriAntil:2023:1, AUTHOR = {Baraldi, Robert J. and Herberg, Evelyn and Kouri, Drew P. and Antil, Harbir}, PUBLISHER = {Springer Nature Switzerland}, BOOKTITLE = {Model Validation and Uncertainty Quantification}, DATE = {2024}, DOI = {10.1007/978-3-031-37003-8_17}, PAGES = {107--116}, TITLE = {Adaptive randomized sketching for dynamic nonsmooth optimization}, VOLUME = {3}, } -
Time regularization in optimal time variable learning ArticleProceedings in Applied Mathematics and Mechanics 24(1) · 2024arXiv:2306.16111 doi:10.1002/pamm.202300299
BibLaTeX
@ARTICLE{HerbergHerzogKoehne:2023:2, AUTHOR = {Herberg, Evelyn and Herzog, Roland and Köhne, Frederik}, PUBLISHER = {Wiley}, DATE = {2024}, DOI = {10.1002/pamm.202300299}, EPRINT = {2306.16111}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, TITLE = {Time regularization in optimal time variable learning}, VOLUME = {24}, } -
A discretize-then-optimize approach to PDE-constrained shape optimization ArticleESAIM: Control, Optimisation and Calculus of Variations 30 · 2024arXiv:2109.00076 doi:10.1051/cocv/2023071
BibLaTeX
@ARTICLE{HerzogLoayzaRomero:2023:1, AUTHOR = {Herzog, Roland and Loayza-Romero, Estefanía}, PUBLISHER = {EDP Sciences}, DATE = {2024}, DOI = {10.1051/cocv/2023071}, EPRINT = {2109.00076}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations}, EID = {11}, TITLE = {A discretize-then-optimize approach to PDE-constrained shape optimization}, VOLUME = {30}, } -
Simulationsbasierte Optimierung der zeitabhängigen Pulsleistung beim Laserstrahlschweißen von Aluminiumlegierungen zum Vermeiden von Heißrissen ArticleSchweißen und Schneiden 68(4), p.38-45 · 2024doi:10.53192/SUS20240438
BibLaTeX
@ARTICLE{SeiboldHildebrandStrelnikovBergmannSchrickerHerzog:2024:1, AUTHOR = {Seibold, Marc and Hildebrand, Jörg and Strelnikov, Dmytro and Bergmann, Jean Pierre and Schricker, Klaus and Herzog, Roland}, DATE = {2024}, DOI = {10.53192/SUS20240438}, JOURNALTITLE = {Schweißen und Schneiden}, NUMBER = {4}, PAGES = {38--45}, TITLE = {Simulationsbasierte Optimierung der zeitabhängigen Pulsleistung beim Laserstrahlschweißen von Aluminiumlegierungen zum Vermeiden von Heißrissen}, VOLUME = {68}, }
2023
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Optimal control of Hughes' model for pedestrian flow via local attraction ArticleApplied Mathematics and Optimization 88(3) · 2023arXiv:2011.03580 doi:10.1007/s00245-023-10064-8
BibLaTeX
@ARTICLE{HerzogPietschmannWinkler:2023:1, AUTHOR = {Herzog, Roland and Pietschmann, Jan-Frederik and Winkler, Max}, DATE = {2023-10-17}, DOI = {10.1007/s00245-023-10064-8}, EPRINT = {2011.03580}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Applied Mathematics and Optimization}, NUMBER = {3}, TITLE = {Optimal control of Hughes' model for pedestrian flow via local attraction}, VOLUME = {88}, } -
The proximal map of the weighted mean absolute error ArticleProceedings in Applied Mathematics and Mechanics 23(4) · 2023arXiv:2209.13545 doi:10.1002/pamm.202300042
BibLaTeX
@ARTICLE{BaumgaertnerHerzogSchmidtWeiss:2023:1, AUTHOR = {Baumgärtner, Lukas and Herzog, Roland and Schmidt, Stephan and Weiß, Manuel}, PUBLISHER = {Wiley}, DATE = {2023-09}, DOI = {10.1002/pamm.202300042}, EPRINT = {2209.13545}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {4}, TITLE = {The proximal map of the weighted mean absolute error}, VOLUME = {23}, } -
Variationelle Diskretisierung für Optimale Steuerung mit Maßkontrollen ArticleMitteilungen der Deutschen Mathematiker-Vereinigung 31(3), p.156-159 · 2023doi:10.1515/dmvm-2023-0053
BibLaTeX
@ARTICLE{Herberg:2023:2, AUTHOR = {Herberg, Evelyn}, PUBLISHER = {Walter de Gruyter}, DATE = {2023-09}, DOI = {10.1515/dmvm-2023-0053}, JOURNALTITLE = {Mitteilungen der Deutschen Mathematiker-Vereinigung}, NUMBER = {3}, PAGES = {156--159}, TITLE = {Variationelle Diskretisierung für Optimale Steuerung mit Maßkontrollen}, VOLUME = {31}, } -
Introducing thermodynamics-informed symbolic regression – a tool for thermodynamic equations of state development Other2023arXiv:2309.02805
BibLaTeX
@ONLINE{MartinekFrotscherRichterHerzog:2023:1, AUTHOR = {Martinek, Viktor and Frotscher, Ophelia and Richter, Markus and Herzog, Roland}, DATE = {2023-09}, EPRINT = {2309.02805}, EPRINTTYPE = {arXiv}, TITLE = {Introducing thermodynamics-informed symbolic regression -- a tool for thermodynamic equations of state development}, } -
Multiobjective optimization of non-smooth PDE-constrained problems Preprint2023arXiv:2308.01113
BibLaTeX
@ONLINE{BernreutherDellnitzGebkenMuellerPeitzSonntagVolkwein:2023:1, AUTHOR = {Bernreuther, Marco and Dellnitz, Michael and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Sonntag, Konstantin and Volkwein, Stefan}, DATE = {2023-08}, EPRINT = {2308.01113}, EPRINTTYPE = {arXiv}, TITLE = {Multiobjective optimization of non-smooth PDE-constrained problems}, } -
Recurrent ventricular tachycardia originating from the "LV summit" effectively eliminated by stereotactic irradiation - a case report ArticleHeartRhythm Case Reports 9(11), p.802-807 · 2023doi:10.1016/j.hrcr.2023.08.009
BibLaTeX
@ARTICLE{MagesSteinfurtRahmThomasMajidiKehrleAndreSeidensaalRheinWengenmayerGressleWestermannHerzogDebusFreyLugenbiel:2023:1, AUTHOR = {Mages, Christine and Steinfurt, Johannes and Rahm, Ann-Kathrin and Thomas, Dierk and Majidi, Reyhaneh and Kehrle, Florian and André, Florian and Seidensaal, Katharina and Rhein, Bernhard and Wengenmayer, Tobias and Gressle, Alexander and Westermann, Dirk and Herzog, Roland and Debus, Jürgen and Frey, Norbert and Lugenbiel, Patrick}, PUBLISHER = {Elsevier BV}, DATE = {2023-08}, DOI = {10.1016/j.hrcr.2023.08.009}, JOURNALTITLE = {HeartRhythm Case Reports}, NUMBER = {11}, PAGES = {802--807}, TITLE = {Recurrent ventricular tachycardia originating from the "LV summit" effectively eliminated by stereotactic irradiation - a case report}, VOLUME = {9}, } -
Preconditioning for a phase-field model with application to morphology evolution in organic semiconductors ArticleCommunications in Computational Physics 34(1), p.1-17 · 2023arXiv:2204.03575 doi:10.4208/cicp.oa-2022-0115
BibLaTeX
@ARTICLE{BergermannDeibelHerzogMacKenziePietschmannStoll:2023:1, AUTHOR = {Bergermann, Kai and Deibel, Carsten and Herzog, Roland and MacKenzie, Roderick C. I. and Pietschmann, Jan-Frederik and Stoll, Martin}, PUBLISHER = {Global Science Press}, DATE = {2023-06}, DOI = {10.4208/cicp.oa-2022-0115}, EPRINT = {2204.03575}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Communications in Computational Physics}, NUMBER = {1}, PAGES = {1--17}, TITLE = {Preconditioning for a phase-field model with application to morphology evolution in organic semiconductors}, VOLUME = {34}, } -
Proof of concept for fast equation of state development using an integrated experimental-computational approach ArticleInternational Journal of Thermophysics 44(7) · 2023doi:10.1007/s10765-023-03197-z
BibLaTeX
@ARTICLE{FrotscherMartinekFingerhutYangVrabecHerzogRichter:2023:1, AUTHOR = {Frotscher, Ophelia and Martinek, Viktor and Fingerhut, Robin and Yang, Xiaoxian and Vrabec, Jadran and Herzog, Roland and Richter, Markus}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2023-05}, DOI = {10.1007/s10765-023-03197-z}, JOURNALTITLE = {International Journal of Thermophysics}, NUMBER = {7}, TITLE = {Proof of concept for fast equation of state development using an integrated experimental-computational approach}, VOLUME = {44}, } -
Lecture Notes: Neural Network Architectures Other2023arXiv:2304.05133
BibLaTeX
@ONLINE{Herberg:2023:1, AUTHOR = {Herberg, Evelyn}, DATE = {2023-04}, EPRINT = {2304.05133}, EPRINTTYPE = {arXiv}, TITLE = {Lecture Notes: Neural Network Architectures}, } -
Optimal control of the stationary Kirchhoff equation ArticleComputational Optimization and Applications 85(2), p.479-508 · 2023arXiv:2112.01067 doi:10.1007/s10589-023-00463-6
BibLaTeX
@ARTICLE{HashemiHerzogSurowiec:2023:1, AUTHOR = {Hashemi, Masoumeh and Herzog, Roland and Surowiec, Thomas M.}, DATE = {2023-03-13}, DOI = {10.1007/s10589-023-00463-6}, EPRINT = {2112.01067}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Computational Optimization and Applications}, NUMBER = {2}, PAGES = {479--508}, TITLE = {Optimal control of the stationary Kirchhoff equation}, VOLUME = {85}, } -
An optimal control problem for single-spot pulsed laser welding ArticleJournal of Mathematics in Industry 13(1) · 2023arXiv:2109.10788 doi:10.1186/s13362-023-00132-7
BibLaTeX
@ARTICLE{HerzogStrelnikov:2023:1, AUTHOR = {Herzog, Roland and Strelnikov, Dmytro}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2023-03}, DOI = {10.1186/s13362-023-00132-7}, EPRINT = {2109.10788}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Journal of Mathematics in Industry}, NUMBER = {1}, TITLE = {An optimal control problem for single-spot pulsed laser welding}, VOLUME = {13}, } -
Total generalized variation for piecewise constant functions on triangular meshes with applications in imaging ArticleSIAM Journal on Imaging Sciences 16(1), p.313-339 · 2023arXiv:2206.12331 doi:10.1137/22m1505281
BibLaTeX
@ARTICLE{BaumgaertnerBergmannHerzogSchmidtVidalNunez:2023:1, AUTHOR = {Baumgärtner, Lukas and Bergmann, Ronny and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José}, PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)}, DATE = {2023-02}, DOI = {10.1137/22m1505281}, EPRINT = {2206.12331}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM Journal on Imaging Sciences}, NUMBER = {1}, PAGES = {313--339}, TITLE = {Total generalized variation for piecewise constant functions on triangular meshes with applications in imaging}, VOLUME = {16}, } -
An optimal time variable learning framework for deep neural networks ArticleAnnals of Mathematical Sciences and Applications 8(3), p.501-543 · 2023doi:10.4310/amsa.2023.v8.n3.a4
BibLaTeX
@ARTICLE{AntilDiazHerberg:2023:1, AUTHOR = {Antil, Harbir and Díaz, Hugo and Herberg, Evelyn}, PUBLISHER = {International Press of Boston}, DATE = {2023}, DOI = {10.4310/amsa.2023.v8.n3.a4}, EPRINT = {2204.08528}, JOURNALTITLE = {Annals of Mathematical Sciences and Applications}, NUMBER = {3}, PAGES = {501--543}, TITLE = {An optimal time variable learning framework for deep neural networks}, VOLUME = {8}, } -
Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation ArticleMathematical Control & Related Fields 13(2), p.695-720 · 2023doi:10.3934/mcrf.2022013
BibLaTeX
@ARTICLE{HerbergHinze:2022:1, AUTHOR = {Herberg, Evelyn and Hinze, Michael}, PUBLISHER = {American Institute of Mathematical Sciences (AIMS)}, DATE = {2023}, DOI = {10.3934/mcrf.2022013}, JOURNALTITLE = {Mathematical Control \& Related Fields}, NUMBER = {2}, PAGES = {695--720}, TITLE = {Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation}, VOLUME = {13}, } -
A manifold of planar triangular meshes with complete Riemannian metric ArticleMathematics of Computation 92(339), p.1-50 · 2023arXiv:2012.05624 doi:10.1090/mcom/3775
BibLaTeX
@ARTICLE{HerzogLoayzaRomero:2022:1, AUTHOR = {Herzog, Roland and Loayza-Romero, Estefanía}, PUBLISHER = {American Mathematical Society (AMS)}, DATE = {2023-01}, DOI = {10.1090/mcom/3775}, EPRINT = {2012.05624}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Mathematics of Computation}, NUMBER = {339}, PAGES = {1--50}, TITLE = {A manifold of planar triangular meshes with complete Riemannian metric}, VOLUME = {92}, } -
Hybrid thermal error compensation combining integrated deformation sensor and regression analysis based models for complex machine tool designs Proceedings3rd International Conference on Thermal Issues in Machine Tools (ICTIMT2023), p.28-40 · 2023doi:10.1007/978-3-031-34486-2_3
BibLaTeX
@INPROCEEDINGS{NaumannNaumannBertaggiaGeistGlaenzelHerzogZontarBrecherDix:2023:1, AUTHOR = {Naumann, Christian and Naumann, Andreas and Bertaggia, Nico and Geist, Alexander and Glänzel, Janine and Herzog, Roland and Zontar, Daniel and Brecher, Christian and Dix, Martin}, PUBLISHER = {Springer International Publishing}, BOOKTITLE = {3rd International Conference on Thermal Issues in Machine Tools (ICTIMT2023)}, DATE = {2023}, DOI = {10.1007/978-3-031-34486-2_3}, PAGES = {28--40}, SERIES = {Lecture Notes in Production Engineering}, TITLE = {Hybrid thermal error compensation combining integrated deformation sensor and regression analysis based models for complex machine tool designs}, }
2022
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Advanced open source data formats for geometrically and physically coupled systems ProceedingsProceedings of Asian Modelica Conference 2022 · 2022doi:10.3384/ecp19381
BibLaTeX
@INPROCEEDINGS{NaumannSaakSauerzapfVettermannBeitelschmidtHerzog:2022:1, AUTHOR = {Naumann, Andreas and Saak, Jens and Sauerzapf, Stefan and Vettermann, Julia and Beitelschmidt, Michael and Herzog, Roland}, EDITOR = {Shen, Tielong and Gao, Rui and Hirano, Yutaka}, PUBLISHER = {Linköping University Electronic Press}, BOOKTITLE = {Proceedings of Asian Modelica Conference 2022}, DATE = {2022-11}, DOI = {10.3384/ecp19381}, TITLE = {Advanced open source data formats for geometrically and physically coupled systems}, } -
First- and second-order analysis for optimization problems with manifold-valued constraints ArticleJournal of Optimization Theory and Applications 195(2), p.596-623 · 2022arXiv:2110.04882 doi:10.1007/s10957-022-02107-x
BibLaTeX
@ARTICLE{BergmannHerzogOrtizLopezSchiela:2022:1, AUTHOR = {Bergmann, Ronny and Herzog, Roland and Ortiz López, Julián and Schiela, Anton}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2022-09}, DOI = {10.1007/s10957-022-02107-x}, EPRINT = {2110.04882}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Journal of Optimization Theory and Applications}, NUMBER = {2}, PAGES = {596--623}, TITLE = {First- and second-order analysis for optimization problems with manifold-valued constraints}, VOLUME = {195}, } -
Efficient scalarization in multiobjective optimal control of a nonsmooth PDE ArticleComputational Optimization and Applications 83(2), p.435-464 · 2022doi:10.1007/s10589-022-00390-y
BibLaTeX
@ARTICLE{BernreutherMuellerVolkwein:2022:2, AUTHOR = {Bernreuther, Marco and Müller, Georg and Volkwein, Stefan}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2022-08}, DOI = {10.1007/s10589-022-00390-y}, JOURNALTITLE = {Computational Optimization and Applications}, NUMBER = {2}, PAGES = {435--464}, TITLE = {Efficient scalarization in multiobjective optimal control of a nonsmooth PDE}, VOLUME = {83}, } -
Continuous Galerkin schemes for semiexplicit differential-algebraic equations ArticleIMA Journal of Numerical Analysis 42(3), p.2214-2237 · 2022arXiv:2011.09336 doi:10.1093/imanum/drab037
BibLaTeX
@ARTICLE{AltmannHerzog:2021:2, AUTHOR = {Altmann, Robert and Herzog, Roland}, PUBLISHER = {Oxford University Press (OUP)}, DATE = {2022-07}, DOI = {10.1093/imanum/drab037}, EPRINT = {2011.09336}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {IMA Journal of Numerical Analysis}, NUMBER = {3}, PAGES = {2214--2237}, TITLE = {Continuous Galerkin schemes for semiexplicit differential-algebraic equations}, VOLUME = {42}, } -
Fenchel duality and a separation theorem on Hadamard manifolds ArticleSIAM Journal on Optimization 32(2), p.854-873 · 2022arXiv:2102.11155 doi:10.1137/21m1400699
BibLaTeX
@ARTICLE{SilvaLouzeiroBergmannHerzog:2022:1, AUTHOR = {Silva Louzeiro, Maurício and Bergmann, Ronny and Herzog, Roland}, PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)}, DATE = {2022-05}, DOI = {10.1137/21m1400699}, EPRINT = {2102.11155}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM Journal on Optimization}, NUMBER = {2}, PAGES = {854--873}, TITLE = {Fenchel duality and a separation theorem on Hadamard manifolds}, VOLUME = {32}, } -
A Discrete Perspective on PDE-Constrained Shape Optimization Problems ThesisPh.D. thesis, Heidelberg University · 2022doi:10.11588/heidok.00031378
BibLaTeX
@THESIS{LoayzaRomero:2022:1, AUTHOR = {Loayza Romero, Karen Estefanía}, INSTITUTION = {Heidelberg University}, DATE = {2022-03-11}, DOI = {10.11588/heidok.00031378}, TITLE = {A Discrete Perspective on PDE-Constrained Shape Optimization Problems}, TYPE = {phdthesis}, } -
Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE ChapterOptimization and Control for Partial Differential Equations, p.1-32 · 2022doi:10.1515/9783110695984-001
BibLaTeX
@INCOLLECTION{BernreutherMuellerVolkwein:2022:1, AUTHOR = {Bernreuther, Marco and Müller, Georg and Volkwein, Stefan}, PUBLISHER = {De Gruyter}, BOOKTITLE = {Optimization and Control for Partial Differential Equations}, DATE = {2022-03}, DOI = {10.1515/9783110695984-001}, PAGES = {1--32}, TITLE = {Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE}, } -
Variational discretization approach applied to an optimal control problem with bounded measure controls ChapterOptimization and Control for Partial Differential Equations, p.113-136 · 2022doi:10.1515/9783110695984-006
BibLaTeX
@INCOLLECTION{HerbergHinze:2022:2, AUTHOR = {Herberg, Evelyn and Hinze, Michael}, PUBLISHER = {De Gruyter}, BOOKTITLE = {Optimization and Control for Partial Differential Equations}, DATE = {2022-03}, DOI = {10.1515/9783110695984-006}, PAGES = {113--136}, TITLE = {Variational discretization approach applied to an optimal control problem with bounded measure controls}, } -
Optimization and Control for Partial Differential Equations Edited volume2022doi:10.1515/9783110695984
BibLaTeX
@COLLECTION{HerzogHeinkenschlossKaliseStadlerTrelat:2022:1, EDITOR = {Herzog, Roland and Heinkenschloss, Matthias and Kalise, Dante and Stadler, Georg and Trélat, Emmanuel}, PUBLISHER = {De Gruyter}, DATE = {2022}, DOI = {10.1515/9783110695984}, NUMBER = {29}, SERIES = {Radon Series on Computational and Applied Mathematics}, TITLE = {Optimization and Control for Partial Differential Equations}, } -
Non-Smooth and Complementarity-Based Distributed Parameter Systems Edited volume2022doi:10.1007/978-3-030-79393-7
BibLaTeX
@COLLECTION{HintermuellerHerzogKanzowUlbrichUlbrich:2022:1, EDITOR = {Hintermüller, Michael and Herzog, Roland and Kanzow, Christian and Ulbrich, Michael and Ulbrich, Stefan}, PUBLISHER = {Springer International Publishing}, DATE = {2022}, DOI = {10.1007/978-3-030-79393-7}, NUMBER = {172}, SERIES = {International Series of Numerical Mathematics}, TITLE = {Non-Smooth and Complementarity-Based Distributed Parameter Systems}, } -
Numerical Methods for Stochastic Control Problems with Applications in Financial Mathematics ThesisPh.D. thesis, Technische Universität Chemnitz · 2022urn:nbn:de:bsz:ch1-qucosa2-792270
BibLaTeX
@THESIS{Blechschmidt:2022:1, AUTHOR = {Blechschmidt, Jan}, INSTITUTION = {Technische Universität Chemnitz}, DATE = {2022}, EPRINT = {urn:nbn:de:bsz:ch1-qucosa2-792270}, EPRINTTYPE = {urn}, TITLE = {Numerical Methods for Stochastic Control Problems with Applications in Financial Mathematics}, TYPE = {phdthesis}, } -
A nonlinear optimized Schwarz preconditioner for elliptic optimal control problems ProceedingsDomain Decomposition Methods in Science and Engineering XXVI, p.391-398 · 2022arXiv:2104.00274 doi:10.1007/978-3-030-95025-5_41
BibLaTeX
@INPROCEEDINGS{CiaramellaKwokMueller:2022:1, AUTHOR = {Ciaramella, Gabriele and Kwok, Felix and Müller, Georg}, EDITOR = {Brenner, Susanne C. and Chung, Eric and Klawonn, Axel and Kwok, Felix and Xu, Jinchao and Zou, Jun}, PUBLISHER = {Springer International Publishing}, BOOKTITLE = {Domain Decomposition Methods in Science and Engineering XXVI}, DATE = {2022}, DOI = {10.1007/978-3-030-95025-5_41}, EPRINT = {2104.00274}, EPRINTTYPE = {arXiv}, PAGES = {391--398}, TITLE = {A nonlinear optimized Schwarz preconditioner for elliptic optimal control problems}, } -
A calculus for non-smooth shape optimization with applications to geometric inverse problems ChapterNon-Smooth and Complementarity-Based Distributed Parameter Systems, International Series of Numerical Mathematics(172), p.101-120 · 2022doi:10.1007/978-3-030-79393-7_5
BibLaTeX
@INCOLLECTION{HerrmannHerzogSchmidtVidalNunez:2022:1, AUTHOR = {Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José}, EDITOR = {Hintermüller, Michael and Herzog, Roland and Kanzow, Christian and Ulbrich, Michael and Ulbrich, Stefan}, PUBLISHER = {Springer International Publishing}, BOOKTITLE = {Non-Smooth and Complementarity-Based Distributed Parameter Systems}, DATE = {2022}, DOI = {10.1007/978-3-030-79393-7_5}, NUMBER = {172}, PAGES = {101--120}, SERIES = {International Series of Numerical Mathematics}, TITLE = {A calculus for non-smooth shape optimization with applications to geometric inverse problems}, } -
Rate-independent systems and their viscous regularizations: analysis, simulation and optimal control ChapterNon-Smooth and Complementarity-Based Distributed Parameter Systems, International Series of Numerical Mathematics(172) · 2022doi:10.1007/978-3-030-79393-7_6
BibLaTeX
@INCOLLECTION{HerzogKneesMeyerSieversStoetznerThomas:2019:1, AUTHOR = {Herzog, Roland and Knees, Dorothee and Meyer, Christian and Sievers, Michael and Stötzner, Ailyn and Thomas, Stephanie}, EDITOR = {Hintermüller, Michael and Herzog, Roland and Kanzow, Christian and Ulbrich, Michael and Ulbrich, Stefan}, PUBLISHER = {Springer}, BOOKTITLE = {Non-Smooth and Complementarity-Based Distributed Parameter Systems}, DATE = {2022}, DOI = {10.1007/978-3-030-79393-7_6}, NUMBER = {172}, SERIES = {International Series of Numerical Mathematics}, TITLE = {Rate-independent systems and their viscous regularizations: analysis, simulation and optimal control}, } -
Influence of solidification rate on hot crack behavior in heat conduction laser beam welding of EN AW-6082 ProceedingsProcedia CIRP 111, p.490-495 · 2022doi:10.1016/j.procir.2022.08.076
BibLaTeX
@ARTICLE{SeiboldStrelnikovSchrickerHerzogBergmann:2022:1, AUTHOR = {Seibold, Marc and Strelnikov, Dmytro and Schricker, Klaus and Herzog, Roland and Bergmann, Jean Pierre}, PUBLISHER = {Elsevier BV}, DATE = {2022}, DOI = {10.1016/j.procir.2022.08.076}, JOURNALTITLE = {Procedia CIRP}, PAGES = {490--495}, TITLE = {Influence of solidification rate on hot crack behavior in heat conduction laser beam welding of EN AW-6082}, VOLUME = {111}, }
2021
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Optimal sensor placement for stochastic sources in machine tools ProceedingsProceedings in Applied Mathematics and Mechanics 21(1) · 2021doi:10.1002/pamm.202100089
BibLaTeX
@ARTICLE{HerzogNaumann:2021:1, AUTHOR = {Herzog, Roland and Naumann, Andreas}, PUBLISHER = {Wiley}, DATE = {2021-12}, DOI = {10.1002/pamm.202100089}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, TITLE = {Optimal sensor placement for stochastic sources in machine tools}, VOLUME = {21}, } -
Building models for coupled thermo elastic problems in different software architectures using a new model exchange format ProceedingsProceedings in Applied Mathematics and Mechanics 21(1) · 2021doi:10.1002/pamm.202100035
BibLaTeX
@ARTICLE{SauerzapfNaumannBeitelschmidt:2021:1, AUTHOR = {Sauerzapf, Stefan and Naumann, Andreas and Beitelschmidt, Michael}, PUBLISHER = {Wiley}, DATE = {2021-12}, DOI = {10.1002/pamm.202100035}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, TITLE = {Building models for coupled thermo elastic problems in different software architectures using a new model exchange format}, VOLUME = {21}, } -
Mini-workshop: computational optimization on manifolds ProceedingsOberwolfach Reports 17(4), p.1791-1821 · 2021doi:10.4171/owr/2020/36
BibLaTeX
@ARTICLE{AbsilHerzogSteidl:2021:1, EDITOR = {Absil, Pierre-Antoine and Herzog, Roland and Steidl, Gabriele}, PUBLISHER = {European Mathematical Society - EMS - Publishing House GmbH}, DATE = {2021-09}, DOI = {10.4171/owr/2020/36}, JOURNALTITLE = {Oberwolfach Reports}, NUMBER = {4}, PAGES = {1791--1821}, TITLE = {Mini-workshop: computational optimization on manifolds}, VOLUME = {17}, } -
New duality results for evenly convex optimization problems ArticleOptimization 70(9), p.1837-1858 · 2021arXiv:1904.10478 doi:10.1080/02331934.2020.1756287
BibLaTeX
@ARTICLE{FajardoGradVidal:2020:1, AUTHOR = {Fajardo, María Dolores and Grad, Sorin-Mihai and Vidal, José}, PUBLISHER = {Informa UK Limited}, DATE = {2021-09}, DOI = {10.1080/02331934.2020.1756287}, EPRINT = {1904.10478}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Optimization}, NUMBER = {9}, PAGES = {1837--1858}, TITLE = {New duality results for evenly convex optimization problems}, VOLUME = {70}, } -
Error estimation for second-order partial differential equations in nonvariational form ArticleNumerical Methods for Partial Differential Equations 37(3), p.2190-2221 · 2021arXiv:1909.12676 doi:10.1002/num.22678
BibLaTeX
@ARTICLE{BlechschmidtHerzogWinkler:2020:1, AUTHOR = {Blechschmidt, Jan and Herzog, Roland and Winkler, Max}, PUBLISHER = {Wiley}, DATE = {2021-05}, DOI = {10.1002/num.22678}, EPRINT = {1909.12676}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Numerical Methods for Partial Differential Equations}, NUMBER = {3}, PAGES = {2190--2221}, TITLE = {Error estimation for second-order partial differential equations in nonvariational form}, VOLUME = {37}, } -
Planning of measurement series for thermodynamic properties based on optimal experimental design ArticleInternational Journal of Thermophysics 42(7) · 2021arXiv:2012.12098 doi:10.1007/s10765-021-02827-8
BibLaTeX
@ARTICLE{FrotscherHerzogRichter:2021:1, AUTHOR = {Frotscher, Ophelia and Herzog, Roland and Richter, Markus}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2021-05}, DOI = {10.1007/s10765-021-02827-8}, EPRINT = {2012.12098}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {International Journal of Thermophysics}, NUMBER = {7}, TITLE = {Planning of measurement series for thermodynamic properties based on optimal experimental design}, VOLUME = {42}, } -
Dimensionally consistent preconditioning for saddle-point problems ArticleComputational Methods in Applied Mathematics 21(3), p.593-607 · 2021arXiv:2003.09478 doi:10.1515/cmam-2020-0037
BibLaTeX
@ARTICLE{Herzog:2021:1, AUTHOR = {Herzog, Roland}, PUBLISHER = {Walter de Gruyter GmbH}, DATE = {2021-05}, DOI = {10.1515/cmam-2020-0037}, EPRINT = {2003.09478}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Computational Methods in Applied Mathematics}, NUMBER = {3}, PAGES = {593--607}, TITLE = {Dimensionally consistent preconditioning for saddle-point problems}, VOLUME = {21}, } -
Optimal positioning methods of integral deformation sensors — expert knowledge versus mathematical optimization ProceedingsMM Science Journal 2021(3), p.4628-4635 · 2021doi:10.17973/MMSJ.2021_7_2021069
BibLaTeX
@ARTICLE{BrecherHerzogSpierlingNaumannTzanetos:2021:1, AUTHOR = {Brecher, Christian and Herzog, Roland and Spierling, Robert and Naumann, Andreas and Tzanetos, Filippos}, PUBLISHER = {MM Publishing}, DATE = {2021-04-21}, DOI = {10.17973/MMSJ.2021_7_2021069}, EVENTTITLE = {2nd International Conference on Thermal Issues in Machine Tools (ICTIMT)}, JOURNALTITLE = {MM Science Journal}, NUMBER = {3}, PAGES = {4628--4635}, TITLE = {Optimal positioning methods of integral deformation sensors --- expert knowledge versus mathematical optimization}, VOLUME = {2021}, } -
Model order reduction methods for coupled machine tool models ProceedingsMM Science Journal 2021(3), p.4652-4659 · 2021doi:10.17973/MMSJ.2021_7_2021072
BibLaTeX
@ARTICLE{VettermannSauerzapfNaumannSaakBennerBeitelschmidtHerzog:2021:1, AUTHOR = {Vettermann, Julia and Sauerzapf, Stefan and Naumann, Andreas and Saak, Jens and Benner, Peter and Beitelschmidt, Michael and Herzog, Roland}, PUBLISHER = {MM Publishing}, DATE = {2021-04-20}, DOI = {10.17973/MMSJ.2021_7_2021072}, EVENTTITLE = {2nd International Conference on Thermal Issues in Machine Tools (ICTIMT)}, JOURNALTITLE = {MM Science Journal}, NUMBER = {3}, PAGES = {4652--4659}, TITLE = {Model order reduction methods for coupled machine tool models}, VOLUME = {2021}, } -
An extension of the strain transfer principle for fiber reinforced materials ArticleComputational Mechanics 67(5), p.1453-1463 · 2021arXiv:2010.05857 doi:10.1007/s00466-021-01997-4
BibLaTeX
@ARTICLE{OspaldBergermannHerzog:2021:1, AUTHOR = {Ospald, Felix and Bergermann, Kai and Herzog, Roland}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2021-03}, DOI = {10.1007/s00466-021-01997-4}, EPRINT = {2010.05857}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Computational Mechanics}, NUMBER = {5}, PAGES = {1453--1463}, TITLE = {An extension of the strain transfer principle for fiber reinforced materials}, VOLUME = {67}, } -
Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds ArticleFoundations of Computational Mathematics 21(6), p.1465-1504 · 2021arXiv:1908.02022 doi:10.1007/s10208-020-09486-5
BibLaTeX
@ARTICLE{BergmannHerzogSilvaLouzeiroTenbrinckVidalNunez:2021:1, AUTHOR = {Bergmann, Ronny and Herzog, Roland and Silva Louzeiro, Maurício and Tenbrinck, Daniel and Vidal-Núñez, José}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2021-01}, DOI = {10.1007/s10208-020-09486-5}, EPRINT = {1908.02022}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Foundations of Computational Mathematics}, NUMBER = {6}, PAGES = {1465--1504}, TITLE = {Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds}, VOLUME = {21}, } -
Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation ArticleESAIM: Control, Optimisation and Calculus of Variations 27 · 2021doi:10.1051/cocv/2020060
BibLaTeX
@ARTICLE{ChristofMueller:2021:1, AUTHOR = {Christof, Constantin and Müller, Georg}, PUBLISHER = {EDP Sciences}, DATE = {2021}, DOI = {10.1051/cocv/2020060}, JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations}, EID = {S13}, TITLE = {Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation}, VOLUME = {27}, } -
Stochastic approximation for optimization in shape spaces ArticleSIAM Journal on Optimization 31(1), p.348-376 · 2021arXiv:2001.10786 doi:10.1137/20M1316111
BibLaTeX
@ARTICLE{GeiersbachLoayzaRomeroWelker:2021:1, AUTHOR = {Geiersbach, Caroline and Loayza-Romero, Estefanía and Welker, Kathrin}, PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)}, DATE = {2021-01}, DOI = {10.1137/20M1316111}, EPRINT = {2001.10786}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM Journal on Optimization}, NUMBER = {1}, PAGES = {348--376}, TITLE = {Stochastic approximation for optimization in shape spaces}, VOLUME = {31}, } -
Optimal sensor placement for thermo-elastic coupled machine models ProceedingsProceedings in Applied Mathematics and Mechanics 20(1) · 2021doi:10.1002/pamm.202000255
BibLaTeX
@ARTICLE{NaumannHerzog:2021:1, AUTHOR = {Naumann, Andreas and Herzog, Roland}, PUBLISHER = {Wiley}, DATE = {2021-01}, DOI = {10.1002/pamm.202000255}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, TITLE = {Optimal sensor placement for thermo-elastic coupled machine models}, VOLUME = {20}, } -
Optimal Dirichlet control of partial differential equations on networks ArticleElectronic Transactions on Numerical Analysis 54, p.392-419 · 2021arXiv:1907.07806 doi:10.1553/etna_vol54s392
BibLaTeX
@ARTICLE{StollWinkler:2021:1, AUTHOR = {Stoll, Martin and Winkler, Max}, DATE = {2021}, DOI = {10.1553/etna_vol54s392}, EPRINT = {1907.07806}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Electronic Transactions on Numerical Analysis}, PAGES = {392--419}, TITLE = {Optimal Dirichlet control of partial differential equations on networks}, VOLUME = {54}, }
2020
-
First-order methods for optimal experimental design problems with bound constraints Preprint2020arXiv:2004.08084
BibLaTeX
@ONLINE{HerzogLegler:2020:1, AUTHOR = {Herzog, Roland and Legler, Eric}, DATE = {2020-04}, EPRINT = {2004.08084}, EPRINTTYPE = {arXiv}, TITLE = {First-order methods for optimal experimental design problems with bound constraints}, } -
Computational homogenization of sheet molding compound composites based on high fidelity representative volume elements ArticleComputational Materials Science 174 · 2020doi:10.1016/j.commatsci.2019.109456
BibLaTeX
@ARTICLE{GoerthoferSchneiderOspaldHrymakBoehlke:2020:1, AUTHOR = {Görthofer, Johannes and Schneider, Matti and Ospald, Felix and Hrymak, Andrew and Böhlke, Thomas}, PUBLISHER = {Elsevier BV}, DATE = {2020-03}, DOI = {10.1016/j.commatsci.2019.109456}, JOURNALTITLE = {Computational Materials Science}, EID = {109456}, TITLE = {Computational homogenization of sheet molding compound composites based on high fidelity representative volume elements}, VOLUME = {174}, } -
Evaluation of optimal positioning methods of integral deformation sensors for the correction of thermal errors in machine tools ProceedingsConference Proceedings on Thermal Issues 2020, p.26-29 · 2020https://www.euspen.eu/knowledge-base/TI20137.pdf
BibLaTeX
@INPROCEEDINGS{BrecherHerzogSpierlingTzanetosNaumann:2020:1, AUTHOR = {Brecher, Christian and Herzog, Roland and Spierling, Robert and Tzanetos, Filippos and Naumann, Andreas}, LOCATION = {Aachen, Germany}, URL = {https://www.euspen.eu/knowledge-base/TI20137.pdf}, BOOKTITLE = {Conference Proceedings on Thermal Issues 2020}, DATE = {2020-02-26}, EVENTTITLE = {euspen Special Interest Group Meeting on Thermal Issues}, PAGES = {26--29}, TITLE = {Evaluation of optimal positioning methods of integral deformation sensors for the correction of thermal errors in machine tools}, } -
Simulation of the thermal behavior of machine tools for efficient machine development and online correction of the tool center point (TCP)-displacement ProceedingsConference Proceedings on Thermal Issues 2020, p.135-138 · 2020https://www.euspen.eu/knowledge-base/TI20125.pdf
BibLaTeX
@INPROCEEDINGS{SauerzapfVettermannNaumannSaakBeitelschmidtBenner:2020:1, AUTHOR = {Sauerzapf, Stefan and Vettermann, Julia and Naumann, Andreas and Saak, Jens and Beitelschmidt, Michael and Benner, Peter}, LOCATION = {Aachen, Germany}, URL = {https://www.euspen.eu/knowledge-base/TI20125.pdf}, BOOKTITLE = {Conference Proceedings on Thermal Issues 2020}, DATE = {2020-02-26}, EVENTTITLE = {euspen Special Interest Group Meeting on Thermal Issues}, PAGES = {135--138}, TITLE = {Simulation of the thermal behavior of machine tools for efficient machine development and online correction of the tool center point (TCP)-displacement}, } -
Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators ArticleApplied Mathematics & Optimization 81(1), p.23-62 · 2020arXiv:1711.02720 doi:10.1007/s00245-018-09553-y
BibLaTeX
@ARTICLE{ChristofWachsmuth:2019:1, AUTHOR = {Christof, Constantin and Wachsmuth, Gerd}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2020-02}, DOI = {10.1007/s00245-018-09553-y}, EPRINT = {1711.02720}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Applied Mathematics \& Optimization}, NUMBER = {1}, PAGES = {23--62}, TITLE = {Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators}, VOLUME = {81}, } -
Shape optimization of actuators over Banach spaces for nonlinear systems Other2020arXiv:2002.07172
BibLaTeX
@ONLINE{EdalatzadehKaliseMorrisSturm:2020:1, AUTHOR = {Edalatzadeh, M. Sajjad and Kalise, Dante and Morris, Kirsten A. and Sturm, Kevin}, DATE = {2020-02}, EPRINT = {2002.07172}, EPRINTTYPE = {arXiv}, TITLE = {Shape optimization of actuators over Banach spaces for nonlinear systems}, } -
Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds ArticleJournal of Optimization Theory and Applications 184(2), p.507-533 · 2020doi:10.1007/s10957-019-01615-7
BibLaTeX
@ARTICLE{FerreiraLouzeiroPrudente:2019:2, AUTHOR = {Ferreira, Orizon and Louzeiro, Maurício and Prudente, Leandro}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2020-02}, DOI = {10.1007/s10957-019-01615-7}, JOURNALTITLE = {Journal of Optimization Theory and Applications}, NUMBER = {2}, PAGES = {507--533}, TITLE = {Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds}, VOLUME = {184}, } -
Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization ArticleNumerische Mathematik 144(2), p.413-445 · 2020doi:10.1007/s00211-019-01091-1
BibLaTeX
@ARTICLE{Winkler:2019:1, AUTHOR = {Winkler, Max}, DATE = {2020-02}, DOI = {10.1007/s00211-019-01091-1}, JOURNALTITLE = {Numerische Mathematik}, NUMBER = {2}, PAGES = {413--445}, TITLE = {Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization}, VOLUME = {144}, } -
Error estimates for the finite element approximation of bilinear boundary control problems ArticleComputational Optimization and Applications 76(1), p.155-199 · 2020doi:10.1007/s10589-020-00171-5
BibLaTeX
@ARTICLE{Winkler:2020:1, AUTHOR = {Winkler, Max}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2020-02}, DOI = {10.1007/s10589-020-00171-5}, JOURNALTITLE = {Computational Optimization and Applications}, NUMBER = {1}, PAGES = {155--199}, TITLE = {Error estimates for the finite element approximation of bilinear boundary control problems}, VOLUME = {76}, } -
Maximum norm error estimates for Neumann boundary value problems on graded meshes ArticleIMA Journal of Numerical Analysis 40(1), p.474-497 · 2020arXiv:1804.10904 doi:10.1093/imanum/dry076
BibLaTeX
@ARTICLE{ApelRogovsPfeffererWinkler:2018:1, AUTHOR = {Apel, Thomas and Rogovs, Sergejs and Pfefferer, Johannes and Winkler, Max}, PUBLISHER = {Oxford University Press (OUP)}, DATE = {2020-01}, DOI = {10.1093/imanum/dry076}, EPRINT = {1804.10904}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {IMA Journal of Numerical Analysis}, NUMBER = {1}, PAGES = {474--497}, TITLE = {Maximum norm error estimates for Neumann boundary value problems on graded meshes}, VOLUME = {40}, } -
An extragradient-type algorithm for variational inequality on Hadamard manifolds ArticleESAIM: Control, Optimisation and Calculus of Variations 26 · 2020arXiv:1804.09292 doi:10.1051/cocv/2019040
BibLaTeX
@ARTICLE{BatistaBentoFerreira:2020:1, AUTHOR = {Batista, Edvaldo Elias and Bento, Glaydston and Ferreira, Orizon}, PUBLISHER = {EDP Sciences}, DATE = {2020}, DOI = {10.1051/cocv/2019040}, EPRINT = {1804.09292}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations}, EID = {63}, TITLE = {An extragradient-type algorithm for variational inequality on Hadamard manifolds}, VOLUME = {26}, } -
Total variation of the normal vector field as shape prior ArticleInverse Problems 36(5) · 2020arXiv:1902.07240 doi:10.1088/1361-6420/ab6d5b
BibLaTeX
@ARTICLE{BergmannHerrmannHerzogSchmidtVidalNunez:2020:1, AUTHOR = {Bergmann, Ronny and Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José}, DATE = {2020}, DOI = {10.1088/1361-6420/ab6d5b}, EPRINT = {1902.07240}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Inverse Problems}, NUMBER = {5}, EID = {054004}, TITLE = {Total variation of the normal vector field as shape prior}, VOLUME = {36}, } -
Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems ArticleInverse Problems 36(5) · 2020arXiv:1908.07916 doi:10.1088/1361-6420/ab6d5c
BibLaTeX
@ARTICLE{BergmannHerrmannHerzogSchmidtVidalNunez:2020:2, AUTHOR = {Bergmann, Ronny and Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José}, DATE = {2020}, DOI = {10.1088/1361-6420/ab6d5c}, EPRINT = {1908.07916}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Inverse Problems}, NUMBER = {5}, EID = {054003}, TITLE = {Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems}, VOLUME = {36}, } -
A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems ArticleComputational Optimization and Applications 75(1), p.263-290 · 2020doi:10.1007/s10589-019-00139-0
BibLaTeX
@ARTICLE{DeCarvalhoBentoBitarDaCruzNetoSoubeyranDeOliveiraSouza:2019:1, AUTHOR = {de Carvalho Bento, Glaydston and Bitar, Sandro Dimy Barbosa and da Cruz Neto, João Xavier and Soubeyran, Antoine and de Oliveira Souza, João Carlos}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2020-01}, DOI = {10.1007/s10589-019-00139-0}, JOURNALTITLE = {Computational Optimization and Applications}, NUMBER = {1}, PAGES = {263--290}, TITLE = {A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems}, VOLUME = {75}, } -
First and second order shape optimization based on restricted mesh deformations ArticleSIAM Journal on Scientific Computing 42(2), p.A1200-A1225 · 2020arXiv:1810.10313 doi:10.1137/19m1241465
BibLaTeX
@ARTICLE{EtlingHerzogLoayzaWachsmuth:2020:1, AUTHOR = {Etling, Tommy and Herzog, Roland and Loayza, Estefanía and Wachsmuth, Gerd}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)}, DATE = {2020-01}, DOI = {10.1137/19m1241465}, EPRINT = {1810.10313}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM Journal on Scientific Computing}, NUMBER = {2}, PAGES = {A1200--A1225}, TITLE = {First and second order shape optimization based on restricted mesh deformations}, VOLUME = {42}, } -
First order methods for optimization on Riemannian manifolds ChapterHandbook of Variational Methods for Nonlinear Geometric Data, p.499-525 · 2020doi:10.1007/978-3-030-31351-7_18
BibLaTeX
@INCOLLECTION{FerreiraLouzeiroPrudente:2020:1, AUTHOR = {Ferreira, Orizon and Louzeiro, Maurício and Prudente, Leandro}, PUBLISHER = {Springer International Publishing}, BOOKTITLE = {Handbook of Variational Methods for Nonlinear Geometric Data}, DATE = {2020}, DOI = {10.1007/978-3-030-31351-7_18}, PAGES = {499--525}, TITLE = {First order methods for optimization on Riemannian manifolds}, } -
Hyper-differential sensitivity analysis of uncertain parameters in PDE-constrained optimization ArticleInternational Journal for Uncertainty Quantification 10(3), p.225-248 · 2020arXiv:1909.07336 doi:10.1615/int.j.uncertaintyquantification.2020032480
BibLaTeX
@ARTICLE{HartVanBloemenWaandersHerzog:2020:1, AUTHOR = {Hart, Joseph and van Bloemen Waanders, Bart and Herzog, Roland}, DATE = {2020}, DOI = {10.1615/int.j.uncertaintyquantification.2020032480}, EPRINT = {1909.07336}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {International Journal for Uncertainty Quantification}, NUMBER = {3}, PAGES = {225--248}, TITLE = {Hyper-differential sensitivity analysis of uncertain parameters in PDE-constrained optimization}, VOLUME = {10}, } -
Maximal discrete sparsity in parabolic optimal control with measures ArticleMathematical Control and Related Fields 10(4), p.735-759 · 2020doi:10.3934/mcrf.2020018
BibLaTeX
@ARTICLE{HerbergHinzeSchumacher:2020:1, AUTHOR = {Herberg, Evelyn and Hinze, Michael and Schumacher, Henrik}, DATE = {2020}, DOI = {10.3934/mcrf.2020018}, JOURNALTITLE = {Mathematical Control and Related Fields}, NUMBER = {4}, PAGES = {735--759}, TITLE = {Maximal discrete sparsity in parabolic optimal control with measures}, VOLUME = {10}, } -
Short note on a relation between the inverse of the cosine and Carlson's elliptic integral RD Other2020arXiv:2001.02203
BibLaTeX
@ONLINE{OspaldHerzog:2020:1, AUTHOR = {Ospald, Felix and Herzog, Roland}, DATE = {2020-01}, EPRINT = {2001.02203}, EPRINTTYPE = {arXiv}, TITLE = {Short note on a relation between the inverse of the cosine and Carlson's elliptic integral $R_D$}, }
2019
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Sparse discretization of sparse control problems ProceedingsProceedings in Applied Mathematics and Mechanics 19(1) · 2019doi:10.1002/pamm.201900105
BibLaTeX
@ARTICLE{HerbergHinzeSchumacher:2019:1, AUTHOR = {Herberg, Evelyn and Hinze, Michael and Schumacher, Henrik}, PUBLISHER = {Wiley}, DATE = {2019-11}, DOI = {10.1002/pamm.201900105}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, TITLE = {Sparse discretization of sparse control problems}, VOLUME = {19}, } -
Computing Riemannian center of mass on Hadamard manifolds ArticleJournal of Optimization Theory and Applications 183(3), p.977-992 · 2019doi:10.1007/s10957-019-01580-1
BibLaTeX
@ARTICLE{DeCarvalhoBentoBitarDaCruzNetoOliveiraDeOliveiraSouza:2019:1, AUTHOR = {de Carvalho Bento, Glaydston and Bitar, Sandro Dimy Barbosa and da Cruz Neto, João Xavier and Oliveira, Paulo Roberto and de Oliveira Souza, João Carlos}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2019-08}, DOI = {10.1007/s10957-019-01580-1}, JOURNALTITLE = {Journal of Optimization Theory and Applications}, NUMBER = {3}, PAGES = {977--992}, TITLE = {Computing Riemannian center of mass on Hadamard manifolds}, VOLUME = {183}, } -
Optimal actuator design for vibration control based on LQR performance and shape calculus Other2019arXiv:1903.07572
BibLaTeX
@ONLINE{EdalatzadehKaliseMorrisSturm:2019:1, AUTHOR = {Edalatzadeh, M. Sajjad and Kalise, Dante and Morris, Kirsten A. and Sturm, Kevin}, DATE = {2019-03}, EPRINT = {1903.07572}, EPRINTTYPE = {arXiv}, TITLE = {Optimal actuator design for vibration control based on LQR performance and shape calculus}, } -
Optimality conditions for a class of inverse optimal control problems with partial differential equations ArticleOptimization 68(2–3), p.615-643 · 2019doi:10.1080/02331934.2018.1495205
BibLaTeX
@ARTICLE{HarderWachsmuth:2018:3, AUTHOR = {Harder, Felix and Wachsmuth, Gerd}, PUBLISHER = {Informa UK Limited}, DATE = {2019-03}, DOI = {10.1080/02331934.2018.1495205}, JOURNALTITLE = {Optimization}, NUMBER = {2--3}, PAGES = {615--643}, TITLE = {Optimality conditions for a class of inverse optimal control problems with partial differential equations}, VOLUME = {68}, } -
The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry ArticleSet-Valued and Variational Analysis 27(1), p.265-294 · 2019doi:10.1007/s11228-017-0464-1
BibLaTeX
@ARTICLE{MehlitzWachsmuth:2017:1, AUTHOR = {Mehlitz, Patrick and Wachsmuth, Gerd}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2019-03}, DOI = {10.1007/s11228-017-0464-1}, JOURNALTITLE = {Set-Valued and Variational Analysis}, NUMBER = {1}, PAGES = {265--294}, TITLE = {The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry}, VOLUME = {27}, } -
Computational aspects for interface identification problems with stochastic modelling Other2019arXiv:1902.01160
BibLaTeX
@ONLINE{GeiersbachLoayzaWelker:2019:1, AUTHOR = {Geiersbach, Caroline and Loayza, Estefanía and Welker, Kathrin}, DATE = {2019-02}, EPRINT = {1902.01160}, EPRINTTYPE = {arXiv}, TITLE = {Computational aspects for interface identification problems with stochastic modelling}, } -
fibergen: An introductory tool for FFT-based material homogenization ArticleJournal of Open Source Software 4(34) · 2019doi:10.21105/joss.01027
BibLaTeX
@ARTICLE{Ospald:2019:1, AUTHOR = {Ospald, Felix}, PUBLISHER = {The Open Journal}, DATE = {2019-02}, DOI = {10.21105/joss.01027}, JOURNALTITLE = {Journal of Open Source Software}, NUMBER = {34}, EID = {1027}, TITLE = {fibergen: An introductory tool for FFT-based material homogenization}, VOLUME = {4}, } -
Comparison of model order reduction methods for optimal sensor placement for thermo-elastic models ArticleEngineering Optimization 51(3), p.465-483 · 2019doi:10.1080/0305215X.2018.1469133
BibLaTeX
@ARTICLE{BennerHerzogLangRiedelSaak:2019:1, AUTHOR = {Benner, Peter and Herzog, Roland and Lang, Norman and Riedel, Ilka and Saak, Jens}, DATE = {2019}, DOI = {10.1080/0305215X.2018.1469133}, JOURNALTITLE = {Engineering Optimization}, NUMBER = {3}, PAGES = {465--483}, TITLE = {Comparison of model order reduction methods for optimal sensor placement for thermo-elastic models}, VOLUME = {51}, } -
Geometry processing problems using the total variation of the normal vector field ProceedingsProceedings in Applied Mathematics and Mechanics 19(1) · 2019doi:10.1002/pamm.201900189
BibLaTeX
@ARTICLE{BergmannHerrmannHerzogSchmidtVidalNunez:2019:3, AUTHOR = {Bergmann, Ronny and Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José}, PUBLISHER = {Wiley}, DATE = {2019}, DOI = {10.1002/pamm.201900189}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, TITLE = {Geometry processing problems using the total variation of the normal vector field}, VOLUME = {19}, } -
Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds ArticleSIAM Journal on Optimization 29(4), p.2423-2444 · 2019arXiv:1804.06214 doi:10.1137/18M1181602
BibLaTeX
@ARTICLE{BergmannHerzog:2019:1, AUTHOR = {Bergmann, Ronny and Herzog, Roland}, DATE = {2019}, DOI = {10.1137/18M1181602}, EPRINT = {1804.06214}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM Journal on Optimization}, NUMBER = {4}, PAGES = {2423--2444}, TITLE = {Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds}, VOLUME = {29}, } -
Shape optimization: what to do first, optimize or discretize? ProceedingsProceedings in Applied Mathematics and Mechanics 19(1) · 2019doi:10.1002/pamm.201900067
BibLaTeX
@ARTICLE{BergmannHerzogLoayzaRomeroWelker:2019:1, AUTHOR = {Bergmann, Ronny and Herzog, Roland and Loayza-Romero, Estefanía and Welker, Kathrin}, PUBLISHER = {Wiley}, DATE = {2019}, DOI = {10.1002/pamm.201900067}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, TITLE = {Shape optimization: what to do first, optimize or discretize?}, VOLUME = {19}, } -
Modellierung, integrative Simulation und Optimierung ChapterTechnologiefusion für multifunktionale Leichtbaustrukturen, p.577-645 · 2019doi:10.1007/978-3-662-54734-2_8
BibLaTeX
@INCOLLECTION{DietzeGoldbergHerzogHannuschHofmannIhlemannKrollMeyerOspaldPeretzkiRuengerSchmidtSchrammSpringerStockmannUlkeWinter:2019:1, AUTHOR = {Dietze, Robert and Goldberg, Niels and Herzog, Roland and Hannusch, Susann and Hofmann, Michael and Ihlemann, Jörn and Kroll, Lothar and Meyer, Arnd and Ospald, Felix and Peretzki, Edgar and Rünger, Gudula and Schmidt, Hansjörg and Schramm, Norbert and Springer, Rolf and Stockmann, Martin and Ulke-Winter, Lars}, EDITOR = {Kroll, Lothar}, PUBLISHER = {Springer Berlin Heidelberg}, BOOKSUBTITLE = {Ressourceneffizienz durch die Schlüsseltechnologie ``Leichtbau''}, BOOKTITLE = {Technologiefusion für multifunktionale Leichtbaustrukturen}, DATE = {2019}, DOI = {10.1007/978-3-662-54734-2_8}, PAGES = {577--645}, TITLE = {Modellierung, integrative Simulation und Optimierung}, } -
Optimum experimental design for interface identification problems ArticleSIAM Journal on Scientific Computing 41(6), p.A3498-A3523 · 2019arXiv:1808.05776 doi:10.1137/18M1208125
BibLaTeX
@ARTICLE{EtlingHerzogSiebenborn:2019:1, AUTHOR = {Etling, Tommy and Herzog, Roland and Siebenborn, Martin}, DATE = {2019}, DOI = {10.1137/18M1208125}, EPRINT = {1808.05776}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM Journal on Scientific Computing}, NUMBER = {6}, PAGES = {A3498--A3523}, TITLE = {Optimum experimental design for interface identification problems}, VOLUME = {41}, } -
Gradient method for optimization on Riemannian manifolds with lower bounded curvature ArticleSIAM Journal on Optimization 29(4), p.2517-2541 · 2019doi:10.1137/18M1180633
BibLaTeX
@ARTICLE{FerreiraLouzeiroPrudente:2019:1, AUTHOR = {Ferreira, Orizon and Louzeiro, Maurício and Prudente, Leandro}, DATE = {2019}, DOI = {10.1137/18M1180633}, JOURNALTITLE = {SIAM Journal on Optimization}, NUMBER = {4}, PAGES = {2517--2541}, TITLE = {Gradient method for optimization on Riemannian manifolds with lower bounded curvature}, VOLUME = {29}, } -
Discrete total variation with finite elements and applications to imaging ArticleJournal of Mathematical Imaging and Vision 61(4), p.411-431 · 2019arXiv:1804.07477 doi:10.1007/s10851-018-0852-7
BibLaTeX
@ARTICLE{HerrmannHerzogSchmidtVidalNunezWachsmuth:2019:1, AUTHOR = {Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José and Wachsmuth, Gerd}, DATE = {2019}, DOI = {10.1007/s10851-018-0852-7}, EPRINT = {1804.07477}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Journal of Mathematical Imaging and Vision}, NUMBER = {4}, PAGES = {411--431}, TITLE = {Discrete total variation with finite elements and applications to imaging}, VOLUME = {61}, } -
Fast iterative solvers for an optimal transport problem ArticleAdvances in Computational Mathematics 45(2), p.495-517 · 2019arXiv:1801.04172 doi:10.1007/s10444-018-9625-5
BibLaTeX
@ARTICLE{HerzogPearsonStoll:2019:1, AUTHOR = {Herzog, Roland and Pearson, John W. and Stoll, Martin}, DATE = {2019}, DOI = {10.1007/s10444-018-9625-5}, EPRINT = {1801.04172}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Advances in Computational Mathematics}, NUMBER = {2}, PAGES = {495--517}, TITLE = {Fast iterative solvers for an optimal transport problem}, VOLUME = {45}, } -
Hadamard differentiability of the solution map in thermoviscoplasticity ArticlePure and Applied Functional Analysis 4(2), p.271-295 · 2019
BibLaTeX
@ARTICLE{HerzogStoetzner:2019:1, AUTHOR = {Herzog, Roland and Stötzner, Ailyn}, DATE = {2019}, JOURNALTITLE = {Pure and Applied Functional Analysis}, NUMBER = {2}, PAGES = {271--295}, TITLE = {Hadamard differentiability of the solution map in thermoviscoplasticity}, VOLUME = {4}, } -
Optimal Control of Time-Discretized Contact Problems ThesisPh.D. thesis, University of Bayreuth · 2019urn:nbn:de:bvb:703-epub-4379-0
BibLaTeX
@THESIS{Mueller:2019:1, AUTHOR = {Müller, Georg}, INSTITUTION = {University of Bayreuth}, DATE = {2019}, EPRINT = {urn:nbn:de:bvb:703-epub-4379-0}, EPRINTTYPE = {urn}, TITLE = {Optimal Control of Time-Discretized Contact Problems}, TYPE = {phdthesis}, } -
Contributions to the Simulation and Optimization of the Manufacturing Process and the Mechanical Properties of Short Fiber-Reinforced Plastic Parts ThesisPh.D. thesis, Technische Universität Chemnitz, Germany · 2019urn:nbn:de:bsz:ch1-qucosa2-365224
BibLaTeX
@THESIS{Ospald:2019:2, AUTHOR = {Ospald, Felix}, INSTITUTION = {Technische Universität Chemnitz, Germany}, DATE = {2019}, EPRINT = {urn:nbn:de:bsz:ch1-qucosa2-365224}, EPRINTTYPE = {urn}, TITLE = {Contributions to the Simulation and Optimization of the Manufacturing Process and the Mechanical Properties of Short Fiber-Reinforced Plastic Parts}, TYPE = {phdthesis}, } -
Finite element error estimates for normal derivatives on boundary concentrated meshes ArticleSIAM Journal on Numerical Analysis 57(5), p.2043-2073 · 2019doi:10.1137/18M1181341
BibLaTeX
@ARTICLE{PfeffererWinkler:2019:1, AUTHOR = {Pfefferer, Johannes and Winkler, Max}, DATE = {2019}, DOI = {10.1137/18M1181341}, JOURNALTITLE = {SIAM Journal on Numerical Analysis}, NUMBER = {5}, PAGES = {2043--2073}, TITLE = {Finite element error estimates for normal derivatives on boundary concentrated meshes}, VOLUME = {57}, } -
Total generalized variation regularization in data assimilation for Burgers' equation ArticleInverse Problems and Imaging 13(4), p.755-786 · 2019doi:10.3934/ipi.2019035
BibLaTeX
@ARTICLE{DeLosReyesLoayzaRomero:2019:1, AUTHOR = {de los Reyes, Juan Carlos and Loayza-Romero, Estefanía}, DATE = {2019}, DOI = {10.3934/ipi.2019035}, JOURNALTITLE = {Inverse Problems and Imaging}, NUMBER = {4}, PAGES = {755--786}, TITLE = {Total generalized variation regularization in data assimilation for Burgers' equation}, VOLUME = {13}, } -
A guided tour of polyhedric sets ArticleJournal of Convex Analysis 26(1), p.153-188 · 2019
BibLaTeX
@ARTICLE{Wachsmuth:2019:1, AUTHOR = {Wachsmuth, Gerd}, DATE = {2019}, JOURNALTITLE = {Journal of Convex Analysis}, NUMBER = {1}, PAGES = {153--188}, TITLE = {A guided tour of polyhedric sets}, VOLUME = {26}, }
2018
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The limiting normal cone to pointwise defined sets in Lebesgue spaces ArticleSet-Valued and Variational Analysis 26(3), p.449-467 · 2018doi:10.1007/s11228-016-0393-4
BibLaTeX
@ARTICLE{MehlitzWachsmuth:2016:2, AUTHOR = {Mehlitz, Patrick and Wachsmuth, Gerd}, DATE = {2018-09}, DOI = {10.1007/s11228-016-0393-4}, JOURNALTITLE = {Set-Valued and Variational Analysis}, NUMBER = {3}, PAGES = {449--467}, TITLE = {The limiting normal cone to pointwise defined sets in Lebesgue spaces}, VOLUME = {26}, } -
The limiting normal cone of a complementarity set in Sobolev spaces ArticleOptimization 67(10), p.1579-1603 · 2018doi:10.1080/02331934.2018.1484467
BibLaTeX
@ARTICLE{HarderWachsmuth:2018:4, AUTHOR = {Harder, Felix and Wachsmuth, Gerd}, PUBLISHER = {Informa UK Limited}, DATE = {2018-07}, DOI = {10.1080/02331934.2018.1484467}, JOURNALTITLE = {Optimization}, NUMBER = {10}, PAGES = {1579--1603}, TITLE = {The limiting normal cone of a complementarity set in Sobolev spaces}, VOLUME = {67}, } -
Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts ArticleComputational Mechanics 61(6), p.729-750 · 2018doi:10.1007/s00466-017-1478-0
BibLaTeX
@ARTICLE{KoeblerSchneiderOspaldAndraeMueller:2018:1, AUTHOR = {Köbler, Jonathan and Schneider, Matti and Ospald, Felix and Andrä, Heiko and Müller, Ralf}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2018-04}, DOI = {10.1007/s00466-017-1478-0}, JOURNALTITLE = {Computational Mechanics}, NUMBER = {6}, PAGES = {729--750}, TITLE = {Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts}, VOLUME = {61}, } -
Regularization and discretization error estimates for optimal control of ODEs with group sparsity ArticleESAIM: Control, Optimisation and Calculus of Variations 24(2), p.811-834 · 2018doi:10.1051/cocv/2017049
BibLaTeX
@ARTICLE{SchneiderWachsmuth:2017:1, AUTHOR = {Schneider, Christopher and Wachsmuth, Gerd}, DATE = {2018-04}, DOI = {10.1051/cocv/2017049}, JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations}, NUMBER = {2}, PAGES = {811--834}, TITLE = {Regularization and discretization error estimates for optimal control of ODEs with group sparsity}, VOLUME = {24}, } -
A note on the equivalence and the boundary behavior of a class of Sobolev capacities ArticleGAMM-Mitteilungen 40(3), p.238-266 · 2018doi:10.1002/gamm.201730005
BibLaTeX
@ARTICLE{ChristofMueller:2018:1, AUTHOR = {Christof, Constantin and Müller, Georg}, PUBLISHER = {Wiley}, DATE = {2018-03}, DOI = {10.1002/gamm.201730005}, JOURNALTITLE = {GAMM-Mitteilungen}, NUMBER = {3}, PAGES = {238--266}, TITLE = {A note on the equivalence and the boundary behavior of a class of Sobolev capacities}, VOLUME = {40}, } -
Hunting for reduced polytopes ArticleDiscrete & Computational Geometry 60(3), p.801-808 · 2018arXiv:1701.08629 doi:10.1007/s00454-018-9982-3
BibLaTeX
@ARTICLE{GonzalezMerinoJahnPolyanskiiWachsmuth:2018:1, AUTHOR = {González Merino, Bernardo and Jahn, Thomas and Polyanskii, Alexandr and Wachsmuth, Gerd}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2018-03}, DOI = {10.1007/s00454-018-9982-3}, EPRINT = {1701.08629}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Discrete \& Computational Geometry}, NUMBER = {3}, PAGES = {801--808}, TITLE = {Hunting for reduced polytopes}, VOLUME = {60}, } -
Optimal sensor placement based on model order reduction ProceedingsConference on Thermal Issues in Machine Tools, p.355-365 · 2018https://www.verlag-wiss-scripten.de/Shop/Detail.html?&PR_ID=326
BibLaTeX
@INPROCEEDINGS{BennerHerzogLangRiedelSaak:2018:1, AUTHOR = {Benner, Peter and Herzog, Roland and Lang, Norman and Riedel, Ilka and Saak, Jens}, EDITOR = {Ihlenfeldt, Steffen and Brecher, Christian and Putz, Matthias and Billington, David}, LOCATION = {Auerbach}, PUBLISHER = {Verlag Wissenschaftliche Scripten}, URL = {https://www.verlag-wiss-scripten.de/Shop/Detail.html?&PR_ID=326}, BOOKTITLE = {Conference on Thermal Issues in Machine Tools}, DATE = {2018}, PAGES = {355--365}, TITLE = {Optimal sensor placement based on model order reduction}, } -
A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve ArticleFrontiers in Applied Mathematics and Statistics 4 · 2018arXiv:1807.10090 doi:10.3389/fams.2018.00059
BibLaTeX
@ARTICLE{BergmannGousenbourger:2018:2, AUTHOR = {Bergmann, Ronny and Gousenbourger, Pierre-Yves}, DATE = {2018}, DOI = {10.3389/fams.2018.00059}, EPRINT = {1807.10090}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {Frontiers in Applied Mathematics and Statistics}, TITLE = {A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve}, VOLUME = {4}, } -
Improving policies for Hamilton-Jacobi-Bellman equations by postprocessing ChapterHamilton-Jacobi-Bellman Equations, Radon Series on Computational and Applied Mathematics(21), p.25-42 · 2018doi:10.1515/9783110543599-002
BibLaTeX
@INCOLLECTION{BlechschmidtHerzog:2018:1, AUTHOR = {Blechschmidt, Jan and Herzog, Roland}, PUBLISHER = {De Gruyter, Berlin}, BOOKTITLE = {Hamilton-Jacobi-Bellman Equations}, DATE = {2018}, DOI = {10.1515/9783110543599-002}, NUMBER = {21}, PAGES = {25--42}, SERIES = {Radon Series on Computational and Applied Mathematics}, TITLE = {Improving policies for Hamilton-Jacobi-Bellman equations by postprocessing}, } -
Second-order analysis and numerical approximation for bang-bang bilinear control problems ArticleSIAM Journal on Control and Optimization 56(6), p.4203-4227 · 2018doi:10.1137/17m1139953
BibLaTeX
@ARTICLE{CasasWachsmuthWachsmuth:2018:1, AUTHOR = {Casas, Eduardo and Wachsmuth, Daniel and Wachsmuth, Gerd}, PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)}, DATE = {2018-01}, DOI = {10.1137/17m1139953}, JOURNALTITLE = {SIAM Journal on Control and Optimization}, NUMBER = {6}, PAGES = {4203--4227}, TITLE = {Second-order analysis and numerical approximation for bang-bang bilinear control problems}, VOLUME = {56}, } -
No-gap second-order conditions via a directional curvature functional ArticleSIAM Journal on Optimization 28(3), p.2097-2130 · 2018doi:10.1137/17M1140418
BibLaTeX
@ARTICLE{ChristofWachsmuth:2018:1, AUTHOR = {Christof, Constantin and Wachsmuth, Gerd}, DATE = {2018}, DOI = {10.1137/17M1140418}, JOURNALTITLE = {SIAM Journal on Optimization}, NUMBER = {3}, PAGES = {2097--2130}, TITLE = {No-gap second-order conditions via a directional curvature functional}, VOLUME = {28}, } -
On the non-polyhedricity of sets with upper and lower bounds in dual spaces ArticleGAMM-Mitteilungen 40(4), p.339-350 · 2018doi:10.1002/gamm.201740005
BibLaTeX
@ARTICLE{ChristofWachsmuth:2018:2, AUTHOR = {Christof, Constantin and Wachsmuth, Gerd}, DATE = {2018}, DOI = {10.1002/gamm.201740005}, JOURNALTITLE = {GAMM-Mitteilungen}, NUMBER = {4}, PAGES = {339--350}, TITLE = {On the non-polyhedricity of sets with upper and lower bounds in dual spaces}, VOLUME = {40}, } -
Optimum experimental design by shape optimization of specimens in linear elasticity ArticleSIAM Journal on Applied Mathematics 78(3), p.1553-1576 · 2018doi:10.1137/17M1147743
BibLaTeX
@ARTICLE{EtlingHerzog:2018:1, AUTHOR = {Etling, Tommy and Herzog, Roland}, DATE = {2018}, DOI = {10.1137/17M1147743}, JOURNALTITLE = {SIAM Journal on Applied Mathematics}, NUMBER = {3}, PAGES = {1553--1576}, TITLE = {Optimum experimental design by shape optimization of specimens in linear elasticity}, VOLUME = {78}, } -
Legendre forms in reflexive Banach spaces ArticleZeitschrift für Analysis und ihre Anwendungen 37(4), p.377-388 · 2018doi:10.4171/zaa/1619
BibLaTeX
@ARTICLE{Harder:2018:1, AUTHOR = {Harder, Felix}, DATE = {2018}, DOI = {10.4171/zaa/1619}, JOURNALTITLE = {Zeitschrift für Analysis und ihre Anwendungen}, NUMBER = {4}, PAGES = {377--388}, TITLE = {Legendre forms in reflexive Banach spaces}, VOLUME = {37}, } -
Comparison of optimality systems for the optimal control of the obstacle problem ArticleGAMM-Mitteilungen 40(4), p.312-338 · 2018doi:10.1002/gamm.201740004
BibLaTeX
@ARTICLE{HarderWachsmuth:2018:5, AUTHOR = {Harder, Felix and Wachsmuth, Gerd}, DATE = {2018}, DOI = {10.1002/gamm.201740004}, JOURNALTITLE = {GAMM-Mitteilungen}, NUMBER = {4}, PAGES = {312--338}, TITLE = {Comparison of optimality systems for the optimal control of the obstacle problem}, VOLUME = {40}, } -
Analysis and an interior point approach for TV image reconstruction problems on smooth surfaces ArticleSIAM Journal on Imaging Sciences 11(2), p.889-922 · 2018doi:10.1137/17M1128022
BibLaTeX
@ARTICLE{HerrmannHerzogKroenerSchmidtVidalNunez:2018:1, AUTHOR = {Herrmann, Marc and Herzog, Roland and Kröner, Heiko and Schmidt, Stephan and Vidal-Núñez, José}, DATE = {2018}, DOI = {10.1137/17M1128022}, JOURNALTITLE = {SIAM Journal on Imaging Sciences}, NUMBER = {2}, PAGES = {889--922}, TITLE = {Analysis and an interior point approach for TV image reconstruction problems on smooth surfaces}, VOLUME = {11}, } -
Optimal sensor placement for joint parameter and state estimation problems in large-scale dynamical systems with applications to thermo-mechanics ArticleOptimization and Engineering 19(3), p.591-627 · 2018doi:10.1007/s11081-018-9391-8
BibLaTeX
@ARTICLE{HerzogRiedelUcinski:2018:1, AUTHOR = {Herzog, Roland and Riedel, Ilka and Uciński, Dariusz}, DATE = {2018}, DOI = {10.1007/s11081-018-9391-8}, JOURNALTITLE = {Optimization and Engineering}, NUMBER = {3}, PAGES = {591--627}, TITLE = {Optimal sensor placement for joint parameter and state estimation problems in large-scale dynamical systems with applications to thermo-mechanics}, VOLUME = {19}, } -
Iterative solution of optimality systems in optimal control ProceedingsOberwolfach Reports 14(1), p.185-186 · 2018doi:10.4171/owr/2017/4
BibLaTeX
@ARTICLE{HerzogSoodhalter:2018:1, AUTHOR = {Herzog, Roland and Soodhalter, Kirk}, EDITOR = {Gunzburger, Max and Kunisch, Karl and Kunoth, Angela}, PUBLISHER = {European Mathematical Society Publishing House}, BOOKTITLE = {Workshop: Optimal Control of Coupled Systems of PDE}, DATE = {2018}, DOI = {10.4171/owr/2017/4}, JOURNALTITLE = {Oberwolfach Reports}, NUMBER = {1}, PAGES = {185--186}, TITLE = {Iterative solution of optimality systems in optimal control}, VOLUME = {14}, } -
Optimal control of an elastic crane-trolley-load system—A case study for optimal control of coupled ODE-PDE systems ArticleMathematical and Computer Modelling of Dynamical Systems 24(2), p.182-206 · 2018doi:10.1080/13873954.2017.1405046
BibLaTeX
@ARTICLE{KimmerleGerdtsHerzog:2018:1, AUTHOR = {Kimmerle, Sven-Joachim and Gerdts, Matthias and Herzog, Roland}, INSTITUTION = {Mathematical and Computer Modeling of Dynamical Systems}, DATE = {2018}, DOI = {10.1080/13873954.2017.1405046}, JOURNALTITLE = {Mathematical and Computer Modelling of Dynamical Systems}, NUMBER = {2}, PAGES = {182--206}, TITLE = {Optimal control of an elastic crane-trolley-load system---A case study for optimal control of coupled ODE-PDE systems}, VOLUME = {24}, } -
An optimal control problem for a rotating elastic crane-trolley-load system ArticleIFAC-PapersOnLine 51(2), p.272-277 · 2018doi:10.1016/j.ifacol.2018.03.047
BibLaTeX
@ARTICLE{KimmerleGerdtsHerzog:2018:2, AUTHOR = {Kimmerle, Sven-Joachim and Gerdts, Matthias and Herzog, Roland}, PUBLISHER = {Elsevier BV}, DATE = {2018}, DOI = {10.1016/j.ifacol.2018.03.047}, JOURNALTITLE = {IFAC-PapersOnLine}, NUMBER = {2}, PAGES = {272--277}, TITLE = {An optimal control problem for a rotating elastic crane-trolley-load system}, VOLUME = {51}, } -
SIMP based topology optimization for injection molding of SFRPs ProceedingsAdvances in Structural and Multidisciplinary Optimization, p.850-861 · 2018doi:10.1007/978-3-319-67988-4_65
BibLaTeX
@INPROCEEDINGS{OspaldHerzog:2017:1, AUTHOR = {Ospald, Felix and Herzog, Roland}, PUBLISHER = {Springer International Publishing}, BOOKTITLE = {Advances in Structural and Multidisciplinary Optimization}, DATE = {2018}, DOI = {10.1007/978-3-319-67988-4_65}, NOTE = {Proceedings of the 12th World Congress on Structural and Multidisciplinary Optimization}, PAGES = {850--861}, TITLE = {SIMP based topology optimization for injection molding of SFRPs}, } -
Optimal Control of Thermoviscoplasticity ThesisPh.D. thesis, Technische Universität Chemnitz, Germany · 2018urn:nbn:de:bsz:ch1-qucosa2-318874
BibLaTeX
@THESIS{Stoetzner:2018:1, AUTHOR = {Stötzner, Ailyn}, INSTITUTION = {Technische Universität Chemnitz, Germany}, DATE = {2018}, EPRINT = {urn:nbn:de:bsz:ch1-qucosa2-318874}, EPRINTTYPE = {urn}, TITLE = {Optimal Control of Thermoviscoplasticity}, TYPE = {phdthesis}, } -
Pointwise constraints in vector-valued Sobolev spaces. With applications in optimal control ArticleApplied Mathematics & Optimization 77(3), p.463-497 · 2018doi:10.1007/s00245-016-9381-1
BibLaTeX
@ARTICLE{Wachsmuth:2018:1, AUTHOR = {Wachsmuth, Gerd}, DATE = {2018}, DOI = {10.1007/s00245-016-9381-1}, JOURNALTITLE = {Applied Mathematics \& Optimization}, NUMBER = {3}, PAGES = {463--497}, TITLE = {Pointwise constraints in vector-valued Sobolev spaces. With applications in optimal control}, VOLUME = {77}, }
2017
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Prevention of solidification cracking during pulsed laser beam welding ProceedingsProceedings in Applied Mathematics and Mechanics 17(1), p.405-406 · 2017doi:10.1002/pamm.201710172
BibLaTeX
@ARTICLE{BergmannBieleninHerzogHildebrandRiedelSchrickerTrunkWorthmann:2017:1, AUTHOR = {Bergmann, Jean Pierre and Bielenin, Martin and Herzog, Roland A. and Hildebrand, Jörg and Riedel, Ilka and Schricker, Klaus and Trunk, Carsten and Worthmann, Karl}, PUBLISHER = {Wiley-Blackwell}, DATE = {2017-12}, DOI = {10.1002/pamm.201710172}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, PAGES = {405--406}, TITLE = {Prevention of solidification cracking during pulsed laser beam welding}, VOLUME = {17}, } -
Topology optimization for injection molding of short fiber-reinforced plastics ProceedingsProceedings in Applied Mathematics and Mechanics 17(1), p.337-338 · 2017doi:10.1002/pamm.201710138
BibLaTeX
@ARTICLE{OspaldHerzog:2017:2, AUTHOR = {Ospald, Felix and Herzog, Roland}, PUBLISHER = {Wiley-Blackwell}, DATE = {2017-12}, DOI = {10.1002/pamm.201710138}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, PAGES = {337--338}, TITLE = {Topology optimization for injection molding of short fiber-reinforced plastics}, VOLUME = {17}, } -
A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites ArticleComputational Mechanics 60(4), p.595-611 · 2017doi:10.1007/s00466-017-1425-0
BibLaTeX
@ARTICLE{GoldbergOspaldSchneider:2017:1, AUTHOR = {Goldberg, Niels and Ospald, Felix and Schneider, Matti}, PUBLISHER = {Springer Science and Business Media LLC}, DATE = {2017-06}, DOI = {10.1007/s00466-017-1425-0}, JOURNALTITLE = {Computational Mechanics}, NUMBER = {4}, PAGES = {595--611}, TITLE = {A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites}, VOLUME = {60}, } -
Analysis of spatio-temporally sparse optimal control problems of semilinear parabolic equations ArticleESAIM: Control, Optimisation and Calculus of Variations 23(1), p.263-295 · 2017doi:10.1051/cocv/2015048
BibLaTeX
@ARTICLE{CasasHerzogWachsmuth:2017:1, AUTHOR = {Casas, Eduardo and Herzog, Roland and Wachsmuth, Gerd}, DATE = {2017}, DOI = {10.1051/cocv/2015048}, JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations}, NUMBER = {1}, PAGES = {263--295}, TITLE = {Analysis of spatio-temporally sparse optimal control problems of semilinear parabolic equations}, VOLUME = {23}, } -
Sufficient second-order conditions for bang-bang control problems ArticleSIAM Journal on Control and Optimization 55(5), p.3066-3090 · 2017doi:10.1137/16M1099674
BibLaTeX
@ARTICLE{CasasWachsmuthWachsmuth:2017:1, AUTHOR = {Casas, Eduardo and Wachsmuth, Daniel and Wachsmuth, Gerd}, DATE = {2017}, DOI = {10.1137/16M1099674}, JOURNALTITLE = {SIAM Journal on Control and Optimization}, NUMBER = {5}, PAGES = {3066--3090}, TITLE = {Sufficient second-order conditions for bang-bang control problems}, VOLUME = {55}, } -
Existence of solutions of a thermoviscoplastic model and associated optimal control problems ArticleNonlinear Analysis: Real World Applications 35, p.75-101 · 2017doi:10.1016/j.nonrwa.2016.10.008
BibLaTeX
@ARTICLE{HerzogMeyerStoetzner:2017:1, AUTHOR = {Herzog, Roland and Meyer, Christian and Stötzner, Ailyn}, DATE = {2017}, DOI = {10.1016/j.nonrwa.2016.10.008}, JOURNALTITLE = {Nonlinear Analysis: Real World Applications}, PAGES = {75--101}, TITLE = {Existence of solutions of a thermoviscoplastic model and associated optimal control problems}, VOLUME = {35}, } -
Parameter identification for short fiber-reinforced plastics using optimal experimental design ArticleInternational Journal for Numerical Methods in Engineering 110(8), p.703-725 · 2017doi:10.1002/nme.5371
BibLaTeX
@ARTICLE{HerzogOspald:2017:1, AUTHOR = {Herzog, Roland and Ospald, Felix}, PUBLISHER = {John Wiley \& Sons, Ltd}, DATE = {2017}, DOI = {10.1002/nme.5371}, JOURNALTITLE = {International Journal for Numerical Methods in Engineering}, NUMBER = {8}, PAGES = {703--725}, TITLE = {Parameter identification for short fiber-reinforced plastics using optimal experimental design}, VOLUME = {110}, } -
Optimale Sensorplatzierung und Online-Zustands- und Parameter-Identifikation ProceedingsProceedings of the 5th Colloquium of SFB/Transregio 96 · 2017
BibLaTeX
@INPROCEEDINGS{HerzogRiedel:2017:1, AUTHOR = {Herzog, Roland and Riedel, Ilka}, BOOKTITLE = {Proceedings of the 5th Colloquium of SFB/Transregio 96}, DATE = {2017}, TITLE = {Optimale Sensorplatzierung und Online-Zustands- und Parameter-Identifikation}, } -
A modified implementation of MINRES to monitor residual subvector norms for block systems ArticleSIAM Journal on Scientific Computing 39(6), p.A2645-A2663 · 2017arXiv:1603.04475 doi:10.1137/16M1093021
BibLaTeX
@ARTICLE{HerzogSoodhalter:2017:1, AUTHOR = {Herzog, Roland and Soodhalter, Kirk}, DATE = {2017}, DOI = {10.1137/16M1093021}, EPRINT = {1603.04475}, EPRINTTYPE = {arXiv}, JOURNALTITLE = {SIAM Journal on Scientific Computing}, NUMBER = {6}, PAGES = {A2645--A2663}, TITLE = {A modified implementation of MINRES to monitor residual subvector norms for block systems}, VOLUME = {39}, } -
A conjugate direction method for linear systems in Banach spaces ArticleJournal of Inverse and Ill-Posed Problems 25(5), p.553-572 · 2017doi:10.1515/jiip-2016-0027
BibLaTeX
@ARTICLE{HerzogWollner:2017:1, AUTHOR = {Herzog, Roland and Wollner, Winnifried}, DATE = {2017}, DOI = {10.1515/jiip-2016-0027}, JOURNALTITLE = {Journal of Inverse and Ill-Posed Problems}, NUMBER = {5}, PAGES = {553--572}, TITLE = {A conjugate direction method for linear systems in Banach spaces}, VOLUME = {25}, } -
Optimal control of a system of reaction-diffusion equations modeling the wine fermentation process ArticleOptimal Control Applications and Methods 38(1), p.112-132 · 2017doi:10.1002/oca.2246
BibLaTeX
@ARTICLE{MergerBorziHerzog:2017:1, AUTHOR = {Merger, Juri and Borzì, Alfio and Herzog, Roland}, DATE = {2017}, DOI = {10.1002/oca.2246}, JOURNALTITLE = {Optimal Control Applications and Methods}, NUMBER = {1}, PAGES = {112--132}, TITLE = {Optimal control of a system of reaction-diffusion equations modeling the wine fermentation process}, VOLUME = {38}, } -
On the control of time discretized dynamic contact problems ArticleComputational Optimization and Applications 68(2), p.243-287 · 2017doi:10.1007/s10589-017-9918-5
BibLaTeX
@ARTICLE{MuellerSchiela:2017:1, AUTHOR = {Müller, Georg and Schiela, Anton}, DATE = {2017}, DOI = {10.1007/s10589-017-9918-5}, JOURNALTITLE = {Computational Optimization and Applications}, NUMBER = {2}, PAGES = {243--287}, TITLE = {On the control of time discretized dynamic contact problems}, VOLUME = {68}, } -
Mass lumping for the optimal control of elliptic partial differential equations ArticleSIAM Journal on Numerical Analysis 55(3), p.1412-1436 · 2017doi:10.1137/16M1074473
BibLaTeX
@ARTICLE{RoeschWachsmuth:2017:1, AUTHOR = {Rösch, Arnd and Wachsmuth, Gerd}, DATE = {2017}, DOI = {10.1137/16M1074473}, JOURNALTITLE = {SIAM Journal on Numerical Analysis}, NUMBER = {3}, PAGES = {1412--1436}, TITLE = {Mass lumping for the optimal control of elliptic partial differential equations}, VOLUME = {55}, } -
Optimal control of a rate-independent evolution equation via viscous regularization ArticleDiscrete and Continuous Dynamical Systems - Series S 10(6), p.1467-1485 · 2017doi:10.3934/dcdss.2017076
BibLaTeX
@ARTICLE{StefanelliWachsmuthWachsmuth:2017:1, AUTHOR = {Stefanelli, Ulisse and Wachsmuth, Daniel and Wachsmuth, Gerd}, DATE = {2017}, DOI = {10.3934/dcdss.2017076}, JOURNALTITLE = {Discrete and Continuous Dynamical Systems - Series S}, NUMBER = {6}, PAGES = {1467--1485}, TITLE = {Optimal control of a rate-independent evolution equation via viscous regularization}, VOLUME = {10}, } -
Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity ArticleSet-Valued and Variational Analysis 25(1), p.133-175 · 2017doi:10.1007/s11228-016-0370-y
BibLaTeX
@ARTICLE{Wachsmuth:2017:1, AUTHOR = {Wachsmuth, Gerd}, DATE = {2017}, DOI = {10.1007/s11228-016-0370-y}, JOURNALTITLE = {Set-Valued and Variational Analysis}, NUMBER = {1}, PAGES = {133--175}, TITLE = {Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity}, VOLUME = {25}, } -
Conforming approximation of convex functions with the finite element method ArticleNumerische Mathematik 137(3), p.741-772 · 2017doi:10.1007/s00211-017-0884-8
BibLaTeX
@ARTICLE{Wachsmuth:2017:2, AUTHOR = {Wachsmuth, Gerd}, DATE = {2017}, DOI = {10.1007/s00211-017-0884-8}, JOURNALTITLE = {Numerische Mathematik}, NUMBER = {3}, PAGES = {741--772}, TITLE = {Conforming approximation of convex functions with the finite element method}, VOLUME = {137}, } -
Optimization Problems with Complementarity Constraints in Infinite-Dimensional Spaces ThesisHabilitation thesis, Technische Universität Chemnitz · 2017urn:nbn:de:bsz:ch1-qucosa-227446
BibLaTeX
@THESIS{Wachsmuth:2017:3, AUTHOR = {Wachsmuth, Gerd}, INSTITUTION = {Technische Universität Chemnitz}, DATE = {2017}, EPRINT = {urn:nbn:de:bsz:ch1-qucosa-227446}, EPRINTTYPE = {urn}, TITLE = {Optimization Problems with Complementarity Constraints in Infinite-Dimensional Spaces}, TYPE = {Habilitation thesis}, }
2016
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Simulation-based correction approach for thermo-elastic workpiece deformations during milling process ProceedingsProceedings of the 7th HPC 2016 - CIRP Conference on High Performance Cutting 46, p.103-106 · 2016doi:10.1016/j.procir.2016.03.178
BibLaTeX
@INPROCEEDINGS{GlaenzelHerzogIhlenfeldtMeyerUnger:2016:1, AUTHOR = {Glänzel, Janine and Herzog, Roland and Ihlenfeldt, Steffen and Meyer, Arnd and Unger, Roman}, PUBLISHER = {Elsevier}, BOOKTITLE = {Proceedings of the 7th HPC 2016 - CIRP Conference on High Performance Cutting}, DATE = {2016}, DOI = {10.1016/j.procir.2016.03.178}, PAGES = {103--106}, TITLE = {Simulation-based correction approach for thermo-elastic workpiece deformations during milling process}, VOLUME = {46}, } -
Optimal control problems in finite strain elasticity by inner pressure and fiber tension ArticleFrontiers in Applied Mathematics and Statistics 2(4) · 2016doi:10.3389/fams.2016.00004
BibLaTeX
@ARTICLE{GuennelHerzog:2016:1, AUTHOR = {Günnel, Andreas and Herzog, Roland}, DATE = {2016}, DOI = {10.3389/fams.2016.00004}, JOURNALTITLE = {Frontiers in Applied Mathematics and Statistics}, NUMBER = {4}, TITLE = {Optimal control problems in finite strain elasticity by inner pressure and fiber tension}, VOLUME = {2}, } -
Preconditioned solution of state gradient constrained elliptic optimal control problems ArticleSIAM Journal on Numerical Analysis 54(2), p.688-718 · 2016doi:10.1137/130948045
BibLaTeX
@ARTICLE{HerzogMach:2016:1, AUTHOR = {Herzog, Roland and Mach, Susann}, DATE = {2016}, DOI = {10.1137/130948045}, JOURNALTITLE = {SIAM Journal on Numerical Analysis}, NUMBER = {2}, PAGES = {688--718}, TITLE = {Preconditioned solution of state gradient constrained elliptic optimal control problems}, VOLUME = {54}, } -
Parameteridentifikation in thermo-elastischen Systemen ProceedingsProceedings of the 4th Colloquium of SFB/Transregio 96, p.55-82 · 2016
BibLaTeX
@INPROCEEDINGS{HerzogRiedelKauschingerSchroeder:2016:1, AUTHOR = {Herzog, Roland and Riedel, Ilka and Kauschinger, Bernd and Schroeder, Steffen}, BOOKTITLE = {Proceedings of the 4th Colloquium of SFB/Transregio 96}, DATE = {2016}, PAGES = {55--82}, TITLE = {Parameteridentifikation in thermo-elastischen Systemen}, } -
Nonlinear composite voxels and FFT-based homogenization ProceedingsECCOMAS · 2016doi:10.7712/100016.1944.5977
BibLaTeX
@INPROCEEDINGS{KabelFinkOspaldSchneider:2016:1, AUTHOR = {Kabel, Matthias and Fink, Andreas and Ospald, Felix and Schneider, Matti}, BOOKTITLE = {ECCOMAS}, DATE = {2016}, DOI = {10.7712/100016.1944.5977}, TITLE = {Nonlinear composite voxels and FFT-based homogenization}, } -
Weak and strong stationarity in generalized bilevel programming and bilevel optimal control ArticleOptimization 65(5), p.907-935 · 2016doi:10.1080/02331934.2015.1122007
BibLaTeX
@ARTICLE{MehlitzWachsmuth:2016:1, AUTHOR = {Mehlitz, Patrick and Wachsmuth, Gerd}, DATE = {2016}, DOI = {10.1080/02331934.2015.1122007}, JOURNALTITLE = {Optimization}, NUMBER = {5}, PAGES = {907--935}, TITLE = {Weak and strong stationarity in generalized bilevel programming and bilevel optimal control}, VOLUME = {65}, } -
Characteristic diagram based correction algorithms for the thermo-elastic deformation of machine tools ProceedingsProcedia CIRP 41, p.801-805 · 2016doi:10.1016/j.procir.2015.12.029
BibLaTeX
@ARTICLE{NaumannRiedelIhlenfeldtPriber:2016:1, AUTHOR = {Naumann, Christian and Riedel, Ilka and Ihlenfeldt, Steffen and Priber, Ulrich}, PUBLISHER = {Elsevier BV}, DATE = {2016}, DOI = {10.1016/j.procir.2015.12.029}, JOURNALTITLE = {Procedia CIRP}, PAGES = {801--805}, TITLE = {Characteristic diagram based correction algorithms for the thermo-elastic deformation of machine tools}, VOLUME = {41}, } -
Optimal experimental design to identify the average stress-strain response in short fiber-reinforced plastics ProceedingsProceedings in Applied Mathematics and Mechanics 16(1), p.673-674 · 2016doi:10.1002/pamm.201610325
BibLaTeX
@ARTICLE{OspaldHerzog:2016:1, AUTHOR = {Ospald, Felix and Herzog, Roland}, DATE = {2016}, DOI = {10.1002/pamm.201610325}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, PAGES = {673--674}, TITLE = {Optimal experimental design to identify the average stress-strain response in short fiber-reinforced plastics}, VOLUME = {16}, } -
Optimal control of static elastoplasticity in primal formulation ArticleSIAM Journal on Control and Optimization 54(6), p.3016-3039 · 2016doi:10.1137/130920861
BibLaTeX
@ARTICLE{DeLosReyesHerzogMeyer:2016:1, AUTHOR = {de los Reyes, Juan Carlos and Herzog, Roland and Meyer, Christian}, DATE = {2016}, DOI = {10.1137/130920861}, JOURNALTITLE = {SIAM Journal on Control and Optimization}, NUMBER = {6}, PAGES = {3016--3039}, TITLE = {Optimal control of static elastoplasticity in primal formulation}, VOLUME = {54}, } -
Computational homogenization of elasticity on a staggered grid ArticleInternational Journal for Numerical Methods in Engineering 105(9), p.693-720 · 2016doi:10.1002/nme.5008
BibLaTeX
@ARTICLE{SchneiderOspaldKabel:2016:1, AUTHOR = {Schneider, Matti and Ospald, Felix and Kabel, Matthias}, DATE = {2016}, DOI = {10.1002/nme.5008}, JOURNALTITLE = {International Journal for Numerical Methods in Engineering}, NUMBER = {9}, PAGES = {693--720}, TITLE = {Computational homogenization of elasticity on a staggered grid}, VOLUME = {105}, } -
A model order reduction method for computational homogenization at finite strains on regular grids using hyperelastic laminates to approximate interfaces ArticleComputer Methods in Applied Mechanics and Engineering 309, p.476-496 · 2016doi:10.1016/j.cma.2016.06.021
BibLaTeX
@ARTICLE{SchneiderOspaldKabel:2016:2, AUTHOR = {Schneider, Matti and Ospald, Felix and Kabel, Matthias}, DATE = {2016}, DOI = {10.1016/j.cma.2016.06.021}, JOURNALTITLE = {Computer Methods in Applied Mechanics and Engineering}, PAGES = {476--496}, TITLE = {A model order reduction method for computational homogenization at finite strains on regular grids using hyperelastic laminates to approximate interfaces}, VOLUME = {309}, } -
A-posteriori error estimation for control-constrained, linear-quadratic optimal control problems ArticleSIAM Journal on Numerical Analysis 54(2), p.1169-1192 · 2016doi:10.1137/15M1020460
BibLaTeX
@ARTICLE{SchneiderWachsmuth:2016:1, AUTHOR = {Schneider, René and Wachsmuth, Gerd}, DATE = {2016}, DOI = {10.1137/15M1020460}, JOURNALTITLE = {SIAM Journal on Numerical Analysis}, NUMBER = {2}, PAGES = {1169--1192}, TITLE = {A-posteriori error estimation for control-constrained, linear-quadratic optimal control problems}, VOLUME = {54}, } -
How not to discretize the control ArticleProceedings in Applied Mathematics and Mechanics 16(1), p.793-794 · 2016doi:10.1002/pamm.201610385
BibLaTeX
@ARTICLE{WachsmuthWachsmuth:2016:1, AUTHOR = {Wachsmuth, Daniel and Wachsmuth, Gerd}, DATE = {2016}, DOI = {10.1002/pamm.201610385}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, PAGES = {793--794}, TITLE = {How not to discretize the control}, VOLUME = {16}, } -
Optimal control of quasistatic plasticity with linear kinematic hardening III: optimality conditions ArticleZeitschrift für Analysis und ihre Anwendungen 35(1), p.81-118 · 2016doi:10.4171/ZAA/1556
BibLaTeX
@ARTICLE{Wachsmuth:2016:2, AUTHOR = {Wachsmuth, Gerd}, DATE = {2016}, DOI = {10.4171/ZAA/1556}, JOURNALTITLE = {Zeitschrift für Analysis und ihre Anwendungen}, NUMBER = {1}, PAGES = {81--118}, TITLE = {Optimal control of quasistatic plasticity with linear kinematic hardening III: optimality conditions}, VOLUME = {35}, } -
Towards M-stationarity for optimal control of the obstacle problem with control constraints ArticleSIAM Journal on Control and Optimization 54(2), p.964-986 · 2016doi:10.1137/140980582
BibLaTeX
@ARTICLE{Wachsmuth:2016:3, AUTHOR = {Wachsmuth, Gerd}, DATE = {2016}, DOI = {10.1137/140980582}, JOURNALTITLE = {SIAM Journal on Control and Optimization}, NUMBER = {2}, PAGES = {964--986}, TITLE = {Towards M-stationarity for optimal control of the obstacle problem with control constraints}, VOLUME = {54}, }
2015
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Using the on-state-Vbe,sat-voltage for temperature estimation of SiC-BJTs during normal operation ProceedingsPCIM Europe 2015, p.132-139 · 2015https://ieeexplore.ieee.org/document/7148829
BibLaTeX
@INPROCEEDINGS{FrankeserHillerWachsmuthLutz:2015:1, AUTHOR = {Frankeser, Sophia and Hiller, Sebastian and Wachsmuth, Gerd and Lutz, Josef}, URL = {https://ieeexplore.ieee.org/document/7148829}, BOOKTITLE = {PCIM Europe 2015}, DATE = {2015}, EVENTTITLE = {International Exhibition and Conference for Power Electronics, Intelligent Motion, Renewable Energy and Energy Management}, PAGES = {132--139}, TITLE = {Using the on-state-V$_{be,sat}$-voltage for temperature estimation of SiC-BJTs during normal operation}, } -
Efficient simulation, optimization, and validation of lightweight structures ProceedingsProceedings of the 2nd International MERGE Technologies Conference for Lightweight Structures (IMTC 2015), p.219-227 · 2015
BibLaTeX
@INPROCEEDINGS{HannuschHerzogHofmannIhlemannKrollMeyerOspaldRuengerSpringerStockmannUlkeWinter:2015:1, AUTHOR = {Hannusch, Susann and Herzog, Roland and Hofmann, Michael and Ihlemann, Jörn and Kroll, Lothar and Meyer, Arnd and Ospald, Felix and Rünger, Gudula and Springer, Rolf and Stockmann, Martin and Ulke-Winter, Lars}, BOOKTITLE = {Proceedings of the 2nd International MERGE Technologies Conference for Lightweight Structures (IMTC 2015)}, DATE = {2015}, PAGES = {219--227}, TITLE = {Efficient simulation, optimization, and validation of lightweight structures}, } -
Annular and sectorial sparsity in optimal control of elliptic equations ArticleComputational Optimization and Applications 62(1), p.157-180 · 2015doi:10.1007/s10589-014-9721-5
BibLaTeX
@ARTICLE{HerzogObermeierWachsmuth:2015:1, AUTHOR = {Herzog, Roland and Obermeier, Johannes and Wachsmuth, Gerd}, DATE = {2015}, DOI = {10.1007/s10589-014-9721-5}, JOURNALTITLE = {Computational Optimization and Applications}, NUMBER = {1}, PAGES = {157--180}, TITLE = {Annular and sectorial sparsity in optimal control of elliptic equations}, VOLUME = {62}, } -
Sequentially optimal sensor placement in thermoelastic models for real time applications ArticleOptimization and Engineering 16(4), p.737-766 · 2015doi:10.1007/s11081-015-9275-0
BibLaTeX
@ARTICLE{HerzogRiedel:2015:1, AUTHOR = {Herzog, Roland and Riedel, Ilka}, PUBLISHER = {Springer US}, DATE = {2015}, DOI = {10.1007/s11081-015-9275-0}, JOURNALTITLE = {Optimization and Engineering}, NUMBER = {4}, PAGES = {737--766}, TITLE = {Sequentially optimal sensor placement in thermoelastic models for real time applications}, VOLUME = {16}, } -
Superlinear convergence of Krylov subspace methods for self-adjoint problems in Hilbert space ArticleSIAM Journal on Numerical Analysis 53(3), p.1304-1324 · 2015doi:10.1137/140973050
BibLaTeX
@ARTICLE{HerzogSachs:2015:1, AUTHOR = {Herzog, Roland and Sachs, Ekkehard}, DATE = {2015}, DOI = {10.1137/140973050}, JOURNALTITLE = {SIAM Journal on Numerical Analysis}, NUMBER = {3}, PAGES = {1304--1324}, TITLE = {Superlinear convergence of Krylov subspace methods for self-adjoint problems in Hilbert space}, VOLUME = {53}, } -
Erratum to: Directional sparsity in optimal control of partial differential equations ArticleSIAM Journal on Control and Optimization 53(4), p.2722-2723 · 2015doi:10.1137/15M102544X
BibLaTeX
@ARTICLE{HerzogStadlerWachsmuth:2015:1, AUTHOR = {Herzog, Roland and Stadler, Georg and Wachsmuth, Gerd}, DATE = {2015}, DOI = {10.1137/15M102544X}, JOURNALTITLE = {SIAM Journal on Control and Optimization}, NUMBER = {4}, PAGES = {2722--2723}, TITLE = {Erratum to: Directional sparsity in optimal control of partial differential equations}, VOLUME = {53}, } -
Correction algorithms and high-dimensional characteristic diagrams ChapterThermo-Energetic Design of Machine Tools, Lecture Notes in Production Engineering, p.159-174 · 2015doi:10.1007/978-3-319-12625-8_14
BibLaTeX
@INCOLLECTION{NaumannRiedelPriberHerzog:2015:1, AUTHOR = {Naumann, Christian and Riedel, Ilka and Priber, Ulrich and Herzog, Roland}, EDITOR = {Großmann, Knut}, PUBLISHER = {Springer International Publishing}, BOOKTITLE = {Thermo-Energetic Design of Machine Tools}, DATE = {2015}, DOI = {10.1007/978-3-319-12625-8_14}, PAGES = {159--174}, SERIES = {Lecture Notes in Production Engineering}, TITLE = {Correction algorithms and high-dimensional characteristic diagrams}, } -
Towards topology optimization in quasi-static elastoplasticity ProceedingsIFAC-PapersOnLine 48(1), p.627-628 · 2015doi:10.1016/j.ifacol.2015.05.130
BibLaTeX
@ARTICLE{SchleicherHerzog:2015:1, AUTHOR = {Schleicher, Stephan and Herzog, Roland}, PUBLISHER = {Elsevier BV}, DATE = {2015}, DOI = {10.1016/j.ifacol.2015.05.130}, JOURNALTITLE = {IFAC-PapersOnLine}, NUMBER = {1}, PAGES = {627--628}, TITLE = {Towards topology optimization in quasi-static elastoplasticity}, VOLUME = {48}, } -
Computational homogenization of elasticity at large deformations on a staggered grid ProceedingsConference Proceedings of the YIC GACM 2015, p.178-181 · 2015doi:10.18154/RWTH-2015-03980
BibLaTeX
@INPROCEEDINGS{SchneiderOspaldKabel:2015:1, AUTHOR = {Schneider, Matti and Ospald, Felix and Kabel, Matthias}, BOOKTITLE = {Conference Proceedings of the YIC GACM 2015}, DATE = {2015}, DOI = {10.18154/RWTH-2015-03980}, PAGES = {178--181}, TITLE = {Computational homogenization of elasticity at large deformations on a staggered grid}, } -
Achieving optimal convergence order for FEM in control constrained optimal control problems ArticleProceedings in Applied Mathematics and Mechanics 15(1), p.731-734 · 2015doi:10.1002/pamm.201510350
BibLaTeX
@ARTICLE{SchneiderWachsmuth:2015:1, AUTHOR = {Schneider, René and Wachsmuth, Gerd}, DATE = {2015}, DOI = {10.1002/pamm.201510350}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, PAGES = {731--734}, TITLE = {Achieving optimal convergence order for FEM in control constrained optimal control problems}, VOLUME = {15}, } -
Optimal control of quasistatic plasticity with linear kinematic hardening II: regularization and differentiability ArticleZeitschrift für Analysis und ihre Anwendungen 34(4), p.391-418 · 2015doi:10.4171/ZAA/1546
BibLaTeX
@ARTICLE{Wachsmuth:2015:1, AUTHOR = {Wachsmuth, Gerd}, DATE = {2015}, DOI = {10.4171/ZAA/1546}, JOURNALTITLE = {Zeitschrift für Analysis und ihre Anwendungen}, NUMBER = {4}, PAGES = {391--418}, TITLE = {Optimal control of quasistatic plasticity with linear kinematic hardening II: regularization and differentiability}, VOLUME = {34}, } -
Mathematical programs with complementarity constraints in Banach spaces ArticleJournal of Optimization Theory and Applications 166(2), p.480-507 · 2015doi:10.1007/s10957-014-0695-3
BibLaTeX
@ARTICLE{Wachsmuth:2015:2, AUTHOR = {Wachsmuth, Gerd}, PUBLISHER = {Springer US}, DATE = {2015}, DOI = {10.1007/s10957-014-0695-3}, JOURNALTITLE = {Journal of Optimization Theory and Applications}, NUMBER = {2}, PAGES = {480--507}, TITLE = {Mathematical programs with complementarity constraints in Banach spaces}, VOLUME = {166}, }
2014
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Analytical computation of multiple interference fits under elasto-plastic deformations ArticleZeitschrift für Angewandte Mathematik und Mechanik 94(12), p.1058-1064 · 2014doi:10.1002/zamm.201300041
BibLaTeX
@ARTICLE{WachsmuthLaetzerLeidich:2013:1, AUTHOR = {Wachsmuth, Gerd and Lätzer, Michael and Leidich, Erhard}, PUBLISHER = {Wiley}, DATE = {2014-12}, DOI = {10.1002/zamm.201300041}, JOURNALTITLE = {Zeitschrift für Angewandte Mathematik und Mechanik}, NUMBER = {12}, PAGES = {1058--1064}, TITLE = {Analytical computation of multiple interference fits under elasto-plastic deformations}, VOLUME = {94}, } -
Using cylindrical algebraic decomposition and local Fourier analysis to study numerical methods: two examples Proceedings16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, p.42-49 · 2014doi:10.1109/synasc.2014.14
BibLaTeX
@INPROCEEDINGS{Takacs:2014:1, AUTHOR = {Takacs, Stefan}, PUBLISHER = {IEEE}, BOOKTITLE = {16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing}, DATE = {2014-09}, DOI = {10.1109/synasc.2014.14}, PAGES = {42--49}, TITLE = {Using cylindrical algebraic decomposition and local Fourier analysis to study numerical methods: two examples}, } -
Programming support for the flexible coupling of distributed software components for scientific simulations ProceedingsSoftware Engineering and Applications (ICSOFT-EA), 2014 9th International Conference on, p.506-511 · 2014doi:10.5220/0005105405060511
BibLaTeX
@INPROCEEDINGS{HofmannOspaldSchmidtSpringer:2014:1, AUTHOR = {Hofmann, Michael and Ospald, Felix and Schmidt, Hansjorg and Springer, Rolf}, BOOKTITLE = {Software Engineering and Applications (ICSOFT-EA), 2014 9th International Conference on}, DATE = {2014-08}, DOI = {10.5220/0005105405060511}, PAGES = {506--511}, TITLE = {Programming support for the flexible coupling of distributed software components for scientific simulations}, } -
Numerical Aspects in Optimal Control of Elasticity Models with Large Deformations ThesisPh.D. thesis, Technische Universität Chemnitz, Germany · 2014urn:nbn:de:bsz:ch1-qucosa-150930
BibLaTeX
@THESIS{Guennel:2014:1, AUTHOR = {Günnel, Andreas}, INSTITUTION = {Technische Universität Chemnitz, Germany}, DATE = {2014}, EPRINT = {urn:nbn:de:bsz:ch1-qucosa-150930}, EPRINTTYPE = {urn}, TITLE = {Numerical Aspects in Optimal Control of Elasticity Models with Large Deformations}, TYPE = {phdthesis}, } -
Optimal control of large deformation elasticity by fiber tension ProceedingsProceedings in Applied Mathematics and Mechanics 14(1), p.879-880 · 2014doi:10.1002/pamm.201410420
BibLaTeX
@ARTICLE{GuennelHerzog:2014:1, AUTHOR = {Günnel, Andreas and Herzog, Roland}, DATE = {2014}, DOI = {10.1002/pamm.201410420}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, PAGES = {879--880}, TITLE = {Optimal control of large deformation elasticity by fiber tension}, VOLUME = {14}, } -
A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space ArticleElectronic Transactions on Numerical Analysis 41, p.13-20 · 2014https://etna.mcs.kent.edu/volumes/2011-2020/vol41/
BibLaTeX
@ARTICLE{GuennelHerzogSachs:2014:1, AUTHOR = {Günnel, Andreas and Herzog, Roland and Sachs, Ekkehard}, URL = {https://etna.mcs.kent.edu/volumes/2011-2020/vol41/}, DATE = {2014}, JOURNALTITLE = {Electronic Transactions on Numerical Analysis}, PAGES = {13--20}, TITLE = {A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space}, VOLUME = {41}, } -
Optimal control of elastoplastic processes: analysis, algorithms, numerical analysis and applications ChapterTrends in PDE Constrained Optimization, International Series of Numerical Mathematics(165), p.27-41 · 2014doi:10.1007/978-3-319-05083-6_4
BibLaTeX
@INCOLLECTION{HerzogMeyerWachsmuth:2014:1, AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd}, PUBLISHER = {Springer}, BOOKTITLE = {Trends in PDE Constrained Optimization}, DATE = {2014}, DOI = {10.1007/978-3-319-05083-6_4}, NUMBER = {165}, PAGES = {27--41}, SERIES = {International Series of Numerical Mathematics}, TITLE = {Optimal control of elastoplastic processes: analysis, algorithms, numerical analysis and applications}, } -
FETI-DP methods for optimal control problems ProceedingsDomain Decomposition Methods in Science and Engineering XXI(98), p.337-344 · 2014doi:10.1007/978-3-319-05789-7_36
BibLaTeX
@INPROCEEDINGS{HerzogRheinbach:2014:1, AUTHOR = {Herzog, Roland and Rheinbach, Oliver}, EDITOR = {Erhel, Jocelyne and Gander, Martin J. and Halpern, Laurence and Pichot, Géraldine and Sassi, Taoufik and Widlund, Olof}, PUBLISHER = {Springer}, BOOKTITLE = {Domain Decomposition Methods in Science and Engineering XXI}, DATE = {2014}, DOI = {10.1007/978-3-319-05789-7_36}, NUMBER = {98}, PAGES = {337--344}, SERIES = {Lecture Notes in Computational Science and Engineering}, TITLE = {FETI-DP methods for optimal control problems}, } -
Scalability of a FETI-DP method for optimal control problems ProceedingsProceedings in Applied Mathematics and Mechanics 14(1), p.837-838 · 2014doi:10.1002/pamm.201410399
BibLaTeX
@ARTICLE{HerzogRheinbach:2014:2, AUTHOR = {Herzog, Roland and Rheinbach, Oliver}, DATE = {2014}, DOI = {10.1002/pamm.201410399}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, PAGES = {837--838}, TITLE = {Scalability of a FETI-DP method for optimal control problems}, VOLUME = {14}, } -
Comparison of two suboptimal sensor placement strategies in thermo-elastic models ProceedingsProceedings in Applied Mathematics and Mechanics 14(1), p.881-882 · 2014doi:10.1002/pamm.201410421
BibLaTeX
@ARTICLE{HerzogRiedel:2014:1, AUTHOR = {Herzog, Roland and Riedel, Ilka}, DATE = {2014}, DOI = {10.1002/pamm.201410421}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, PAGES = {881--882}, TITLE = {Comparison of two suboptimal sensor placement strategies in thermo-elastic models}, VOLUME = {14}, } -
OPTPDE: a collection of problems in PDE-constrained optimization ChapterTrends in PDE Constrained Optimization, International Series of Numerical Mathematics(165), p.539-543 · 2014doi:10.1007/978-3-319-05083-6_34
BibLaTeX
@INCOLLECTION{HerzogRoeschUlbrichWollner:2014:2, AUTHOR = {Herzog, Roland and Rösch, Arnd and Ulbrich, Stefan and Wollner, Winnifried}, PUBLISHER = {Springer}, BOOKTITLE = {Trends in PDE Constrained Optimization}, DATE = {2014}, DOI = {10.1007/978-3-319-05083-6_34}, NUMBER = {165}, PAGES = {539--543}, SERIES = {International Series of Numerical Mathematics}, TITLE = {OPTPDE: a collection of problems in PDE-constrained optimization}, } -
Numerical simulation of injection molding using OpenFOAM ProceedingsProceedings in Applied Mathematics and Mechanics 14(1), p.673-674 · 2014doi:10.1002/pamm.201410320
BibLaTeX
@ARTICLE{Ospald:2014:1, AUTHOR = {Ospald, Felix}, DATE = {2014}, DOI = {10.1002/pamm.201410320}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, PAGES = {673--674}, TITLE = {Numerical simulation of injection molding using OpenFOAM}, VOLUME = {14}, } -
Optimal control of an oblique derivative problem ArticleAnnals of the Academy of Romanian Scientists. Series on Mathematics and its Applications 6(1), p.50-73 · 2014https://www.ingentaconnect.com/content/doaj/20665997/2014/00000006/00000001/art00003
BibLaTeX
@ARTICLE{WachsmuthWachsmuth:2014:1, AUTHOR = {Wachsmuth, Daniel and Wachsmuth, Gerd}, URL = {https://www.ingentaconnect.com/content/doaj/20665997/2014/00000006/00000001/art00003}, DATE = {2014}, JOURNALTITLE = {Annals of the Academy of Romanian Scientists. Series on Mathematics and its Applications}, NUMBER = {1}, PAGES = {50--73}, TITLE = {Optimal control of an oblique derivative problem}, VOLUME = {6}, } -
Differentiability of implicit functions: beyond the implicit function theorem ArticleJournal of Mathematical Analysis and Applications 414(1), p.259-272 · 2014doi:10.1016/j.jmaa.2014.01.007
BibLaTeX
@ARTICLE{Wachsmuth:2014:1, AUTHOR = {Wachsmuth, Gerd}, DATE = {2014}, DOI = {10.1016/j.jmaa.2014.01.007}, JOURNALTITLE = {Journal of Mathematical Analysis and Applications}, NUMBER = {1}, PAGES = {259--272}, TITLE = {Differentiability of implicit functions: beyond the implicit function theorem}, VOLUME = {414}, } -
The numerical solution of Newton's problem of least resistance ArticleMathematical Programming 147(1–2), p.331-350 · 2014doi:10.1007/s10107-014-0756-2
BibLaTeX
@ARTICLE{Wachsmuth:2014:2, AUTHOR = {Wachsmuth, Gerd}, PUBLISHER = {Springer Berlin Heidelberg}, DATE = {2014}, DOI = {10.1007/s10107-014-0756-2}, JOURNALTITLE = {Mathematical Programming}, NUMBER = {1--2}, PAGES = {331--350}, TITLE = {The numerical solution of Newton's problem of least resistance}, VOLUME = {147}, } -
Strong stationarity for optimal control of the obstacle problem with control constraints ArticleSIAM Journal on Optimization 24(4), p.1914-1932 · 2014doi:10.1137/130925827
BibLaTeX
@ARTICLE{Wachsmuth:2014:3, AUTHOR = {Wachsmuth, Gerd}, DATE = {2014}, DOI = {10.1137/130925827}, JOURNALTITLE = {SIAM Journal on Optimization}, NUMBER = {4}, PAGES = {1914--1932}, TITLE = {Strong stationarity for optimal control of the obstacle problem with control constraints}, VOLUME = {24}, }
2013
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Optimal experimental design for heat transfer experiments ProceedingsOberwolfach Reports 10(4), p.256-257 · 2013doi:10.4171/owr/2013/04
BibLaTeX
@ARTICLE{HerzogEtling:2013:1, AUTHOR = {Herzog, Roland and Etling, Tommy}, EDITOR = {Heinkenschloss, Matthias and Schulz, Volker}, PUBLISHER = {European Mathematical Society Publishing House}, BOOKTITLE = {Workshop: Numerical Methods for PDE Constrained Optimization with Uncertain Data}, DATE = {2013}, DOI = {10.4171/owr/2013/04}, JOURNALTITLE = {Oberwolfach Reports}, NUMBER = {4}, PAGES = {256--257}, TITLE = {Optimal experimental design for heat transfer experiments}, VOLUME = {10}, } -
Primal-dual methods for the computation of trading regions under proportional transaction costs ArticleMathematical Methods of Operations Research 77(1), p.101-130 · 2013doi:10.1007/s00186-012-0416-3
BibLaTeX
@ARTICLE{HerzogKunischSass:2013:1, AUTHOR = {Herzog, Roland and Kunisch, Karl and Sass, Jörn}, DATE = {2013}, DOI = {10.1007/s00186-012-0416-3}, JOURNALTITLE = {Mathematical Methods of Operations Research}, NUMBER = {1}, PAGES = {101--130}, TITLE = {Primal-dual methods for the computation of trading regions under proportional transaction costs}, VOLUME = {77}, } -
B- and strong stationarity for optimal control of static plasticity with hardening ArticleSIAM Journal on Optimization 23(1), p.321-352 · 2013doi:10.1137/110821147
BibLaTeX
@ARTICLE{HerzogMeyerWachsmuth:2013:1, AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd}, DATE = {2013}, DOI = {10.1137/110821147}, JOURNALTITLE = {SIAM Journal on Optimization}, NUMBER = {1}, PAGES = {321--352}, TITLE = {B- and strong stationarity for optimal control of static plasticity with hardening}, VOLUME = {23}, } -
Necessary conditions for convergence rates of regularizations of optimal control problems ChapterSystem Modeling and Optimization, IFIP Advances in Information and Communication Technology(391), p.145-154 · 2013doi:10.1007/978-3-642-36062-6_15
BibLaTeX
@INCOLLECTION{WachsmuthWachsmuth:2013:1, AUTHOR = {Wachsmuth, Daniel and Wachsmuth, Gerd}, EDITOR = {Hömberg, Dietmar and Tröltzsch, Fredi}, PUBLISHER = {Springer Berlin Heidelberg}, BOOKTITLE = {System Modeling and Optimization}, DATE = {2013}, DOI = {10.1007/978-3-642-36062-6_15}, NUMBER = {391}, PAGES = {145--154}, SERIES = {IFIP Advances in Information and Communication Technology}, TITLE = {Necessary conditions for convergence rates of regularizations of optimal control problems}, } -
On LICQ and the uniqueness of Lagrange multipliers ArticleOperations Research Letters 41(1), p.78-80 · 2013doi:10.1016/j.orl.2012.11.009
BibLaTeX
@ARTICLE{Wachsmuth:2013:3, AUTHOR = {Wachsmuth, Gerd}, DATE = {2013}, DOI = {10.1016/j.orl.2012.11.009}, JOURNALTITLE = {Operations Research Letters}, NUMBER = {1}, PAGES = {78--80}, TITLE = {On LICQ and the uniqueness of Lagrange multipliers}, VOLUME = {41}, }
2012
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Implementation of an X-FEM solver for the classical two-phase Stefan problem ArticleJournal of Scientific Computing 52(2), p.271-293 · 2012doi:10.1007/s10915-011-9543-x
BibLaTeX
@ARTICLE{BernauerHerzog:2012:1, AUTHOR = {Bernauer, Martin and Herzog, Roland}, DATE = {2012}, DOI = {10.1007/s10915-011-9543-x}, JOURNALTITLE = {Journal of Scientific Computing}, NUMBER = {2}, PAGES = {271--293}, TITLE = {Implementation of an X-FEM solver for the classical two-phase Stefan problem}, VOLUME = {52}, } -
Approximation of sparse controls in semilinear elliptic equations ProceedingsLarge-Scale Scientific Computing(7116), p.16-27 · 2012doi:10.1007/978-3-642-29843-1_2
BibLaTeX
@INPROCEEDINGS{CasasHerzogWachsmuth:2012:1, AUTHOR = {Casas, Eduardo and Herzog, Roland and Wachsmuth, Gerd}, EDITOR = {Lirkov, I. and Margenov, S. and Wasniewski, J.}, LOCATION = {8th International Conference LSSC 2011, Sozopol, Bulgaria}, PUBLISHER = {Springer}, BOOKTITLE = {Large-Scale Scientific Computing}, DATE = {2012}, DOI = {10.1007/978-3-642-29843-1_2}, NUMBER = {7116}, PAGES = {16--27}, SERIES = {Lecture Notes in Computer Science}, TITLE = {Approximation of sparse controls in semilinear elliptic equations}, } -
Optimality conditions and error analysis of semilinear elliptic control problems with L1 cost functional ArticleSIAM Journal on Optimization 22(3), p.795-820 · 2012doi:10.1137/110834366
BibLaTeX
@ARTICLE{CasasHerzogWachsmuth:2012:2, AUTHOR = {Casas, Eduardo and Herzog, Roland and Wachsmuth, Gerd}, DATE = {2012}, DOI = {10.1137/110834366}, JOURNALTITLE = {SIAM Journal on Optimization}, NUMBER = {3}, PAGES = {795--820}, TITLE = {Optimality conditions and error analysis of semilinear elliptic control problems with $L^1$ cost functional}, VOLUME = {22}, } -
Approximation of sparse controls in semilinear equations by piecewise linear functions ArticleNumerische Mathematik 122(4), p.645-669 · 2012doi:10.1007/s00211-012-0475-7
BibLaTeX
@ARTICLE{CasasHerzogWachsmuth:2012:3, AUTHOR = {Casas, Eduardo and Herzog, Roland and Wachsmuth, Gerd}, DATE = {2012}, DOI = {10.1007/s00211-012-0475-7}, JOURNALTITLE = {Numerische Mathematik}, NUMBER = {4}, PAGES = {645--669}, TITLE = {Approximation of sparse controls in semilinear equations by piecewise linear functions}, VOLUME = {122}, } -
C-stationarity for optimal control of static plasticity with linear kinematic hardening ArticleSIAM Journal on Control and Optimization 50(5), p.3052-3082 · 2012doi:10.1137/100809325
BibLaTeX
@ARTICLE{HerzogMeyerWachsmuth:2012:1, AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd}, DATE = {2012}, DOI = {10.1137/100809325}, JOURNALTITLE = {SIAM Journal on Control and Optimization}, NUMBER = {5}, PAGES = {3052--3082}, TITLE = {C-stationarity for optimal control of static plasticity with linear kinematic hardening}, VOLUME = {50}, } -
Optimale Steuerung in der Elastoplastizität ArticleGAMM-Rundbrief(2), p.16-20 · 2012https://www.gamm-ev.de/wp-content/uploads/2020/06/RB_2012_02_weba.compressed.pdf
BibLaTeX
@ARTICLE{HerzogMeyerWachsmuth:2012:2, AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd}, URL = {https://www.gamm-ev.de/wp-content/uploads/2020/06/RB_2012_02_weba.compressed.pdf}, DATE = {2012}, JOURNALTITLE = {GAMM-Rundbrief}, NUMBER = {2}, PAGES = {16--20}, TITLE = {Optimale Steuerung in der Elastoplastizität}, } -
Weak lower semi-continuity of the optimal value function and applications to worst-case robust optimal control problems ArticleOptimization 61, p.685-697 · 2012doi:10.1080/02331934.2011.603322
BibLaTeX
@ARTICLE{HerzogSchmidt:2012:1, AUTHOR = {Herzog, Roland and Schmidt, Frank}, DATE = {2012}, DOI = {10.1080/02331934.2011.603322}, ISSUE = {6}, JOURNALTITLE = {Optimization}, PAGES = {685--697}, TITLE = {Weak lower semi-continuity of the optimal value function and applications to worst-case robust optimal control problems}, VOLUME = {61}, } -
Directional sparsity in optimal control of partial differential equations ArticleSIAM Journal on Control and Optimization 50(2), p.943-963 · 2012doi:10.1137/100815037
BibLaTeX
@ARTICLE{HerzogStadlerWachsmuth:2012:1, AUTHOR = {Herzog, Roland and Stadler, Georg and Wachsmuth, Gerd}, DATE = {2012}, DOI = {10.1137/100815037}, JOURNALTITLE = {SIAM Journal on Control and Optimization}, NUMBER = {2}, PAGES = {943--963}, TITLE = {Directional sparsity in optimal control of partial differential equations}, VOLUME = {50}, } -
Optimal control of quasistatic plasticity with linear kinematic hardening, Part I: existence and discretization in time ArticleSIAM Journal on Control and Optimization 50(5), p.2836-2861 · 2012doi:10.1137/110839187
BibLaTeX
@ARTICLE{Wachsmuth:2012:1, AUTHOR = {Wachsmuth, Gerd}, DATE = {2012}, DOI = {10.1137/110839187}, JOURNALTITLE = {SIAM Journal on Control and Optimization}, NUMBER = {5}, PAGES = {2836--2861}, TITLE = {Optimal control of quasistatic plasticity with linear kinematic hardening, Part I: existence and discretization in time}, VOLUME = {50}, }
2011
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A robustification approach in unconstrained quadratic optimization ArticleMathematical Programming Series A 128(1–2), p.231-252 · 2011doi:10.1007/s10107-009-0302-9
BibLaTeX
@ARTICLE{BernauerGriesse:2009:1, AUTHOR = {Bernauer, Martin K. and Griesse, Roland}, DATE = {2011-06}, DOI = {10.1007/s10107-009-0302-9}, JOURNALTITLE = {Mathematical Programming Series A}, NUMBER = {1--2}, PAGES = {231--252}, TITLE = {A robustification approach in unconstrained quadratic optimization}, VOLUME = {128}, } -
Optimal control of the classical two-phase Stefan problem in level set formulation ArticleSIAM Journal on Scientific Computing 33(1), p.342-363 · 2011doi:10.1137/100783327
BibLaTeX
@ARTICLE{BernauerHerzog:2011:1, AUTHOR = {Bernauer, Martin and Herzog, Roland}, DATE = {2011}, DOI = {10.1137/100783327}, JOURNALTITLE = {SIAM Journal on Scientific Computing}, NUMBER = {1}, PAGES = {342--363}, TITLE = {Optimal control of the classical two-phase Stefan problem in level set formulation}, VOLUME = {33}, } -
Optimal control of static plasticity with linear kinematic hardening ArticleJournal of Applied Mathematics and Mechanics 91(10), p.777-794 · 2011doi:10.1002/zamm.200900378
BibLaTeX
@ARTICLE{HerzogMeyer:2011:1, AUTHOR = {Herzog, Roland and Meyer, Christian}, DATE = {2011}, DOI = {10.1002/zamm.200900378}, JOURNALTITLE = {Journal of Applied Mathematics and Mechanics}, NUMBER = {10}, PAGES = {777--794}, TITLE = {Optimal control of static plasticity with linear kinematic hardening}, VOLUME = {91}, } -
Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions ArticleJournal of Mathematical Analysis and Applications 382(2), p.802-813 · 2011doi:10.1016/j.jmaa.2011.04.074
BibLaTeX
@ARTICLE{HerzogMeyerWachsmuth:2011:1, AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd}, DATE = {2011}, DOI = {10.1016/j.jmaa.2011.04.074}, JOURNALTITLE = {Journal of Mathematical Analysis and Applications}, NUMBER = {2}, PAGES = {802--813}, TITLE = {Integrability of displacement and stresses in linear and nonlinear elasticity with mixed boundary conditions}, VOLUME = {382}, } -
Existence and regularity of the plastic multiplier in static and quasistatic plasticity ArticleGAMM Reports 34(1), p.39-44 · 2011doi:10.1002/gamm.201110006
BibLaTeX
@ARTICLE{HerzogMeyerWachsmuth:2011:2, AUTHOR = {Herzog, Roland and Meyer, Christian and Wachsmuth, Gerd}, DATE = {2011}, DOI = {10.1002/gamm.201110006}, JOURNALTITLE = {GAMM Reports}, NUMBER = {1}, PAGES = {39--44}, TITLE = {Existence and regularity of the plastic multiplier in static and quasistatic plasticity}, VOLUME = {34}, } -
Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints ArticleControl and Cybernetics 40(4), p.1125-1158 · 2011
BibLaTeX
@ARTICLE{WachsmuthWachsmuth:2011:1, AUTHOR = {Wachsmuth, Daniel and Wachsmuth, Gerd}, DATE = {2011}, JOURNALTITLE = {Control and Cybernetics}, NUMBER = {4}, PAGES = {1125--1158}, TITLE = {Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints}, VOLUME = {40}, } -
Optimal Control of Quasistatic Plasticity – An MPCC in Function Space ThesisPh.D. thesis, Technische Universität Chemnitz, Germany · 2011
BibLaTeX
@THESIS{Wachsmuth:2011:1, AUTHOR = {Wachsmuth, Gerd}, INSTITUTION = {Technische Universität Chemnitz, Germany}, DATE = {2011}, TITLE = {Optimal Control of Quasistatic Plasticity -- An MPCC in Function Space}, TYPE = {phdthesis}, } -
Convergence and regularization results for optimal control problems with sparsity functional ArticleESAIM: Control, Optimisation and Calculus of Variations 17(3), p.858-886 · 2011doi:10.1051/cocv/2010027
BibLaTeX
@ARTICLE{WachsmuthWachsmuth:2011:3, AUTHOR = {Wachsmuth, Gerd and Wachsmuth, Daniel}, DATE = {2011}, DOI = {10.1051/cocv/2010027}, JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations}, NUMBER = {3}, PAGES = {858--886}, TITLE = {Convergence and regularization results for optimal control problems with sparsity functional}, VOLUME = {17}, }
2010
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Lipschitz stability for elliptic optimal control problems with mixed control-state constraints ArticleOptimization 59(6), p.833-849 · 2010doi:10.1080/02331930902863749
BibLaTeX
@ARTICLE{AltGriesseMetlaRoesch:2010:1, AUTHOR = {Alt, Walter and Griesse, Roland and Metla, Nataliya and Rösch, Arnd}, DATE = {2010}, DOI = {10.1080/02331930902863749}, JOURNALTITLE = {Optimization}, NUMBER = {6}, PAGES = {833--849}, TITLE = {Lipschitz stability for elliptic optimal control problems with mixed control-state constraints}, VOLUME = {59}, } -
Motion Planning for the Two-Phase Stefan Problem in Level Set Formulation ThesisPh.D. thesis, Technische Universität Chemnitz, Germany · 2010urn:nbn:de:bsz:ch1-qucosa-63654
BibLaTeX
@THESIS{Bernauer:2010:1, AUTHOR = {Bernauer, Martin}, INSTITUTION = {Technische Universität Chemnitz, Germany}, DATE = {2010}, EPRINT = {urn:nbn:de:bsz:ch1-qucosa-63654}, EPRINTTYPE = {urn}, TITLE = {Motion Planning for the Two-Phase Stefan Problem in Level Set Formulation}, TYPE = {phdthesis}, } -
Optimal control of the two-phase Stefan problem in level set formulation ProceedingsOberwolfach Reports 7(1) · 2010doi:10.4171/owr/2010/07
BibLaTeX
@ARTICLE{BernauerHerzogKunisch:2010:1, AUTHOR = {Bernauer, Martin and Herzog, Roland and Kunisch, Karl}, EDITOR = {Elliott, Charles and Giga, Yoshikazu and Hinze, Michael and Styles, Vanessa}, PUBLISHER = {European Mathematical Society Publishing House}, DATE = {2010}, DOI = {10.4171/owr/2010/07}, ISSUETITLE = {New Directions in Simulation, Control and Analysis for Interfaces and Free Boundaries}, JOURNALTITLE = {Oberwolfach Reports}, NUMBER = {1}, PAGES = {261}, TITLE = {Optimal control of the two-phase Stefan problem in level set formulation}, VOLUME = {7}, } -
Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints ArticleControl and Cybernetics 39(3), p.717-738 · 2010
BibLaTeX
@ARTICLE{GriesseMetlaRoesch:2010:1, AUTHOR = {Griesse, Roland and Metla, Nataliya and Rösch, Arnd}, DATE = {2010}, JOURNALTITLE = {Control and Cybernetics}, NUMBER = {3}, PAGES = {717--738}, TITLE = {Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints}, VOLUME = {39}, } -
Algorithms for PDE-constrained optimization ArticleGAMM Reports 33(2), p.163-176 · 2010doi:10.1002/gamm.201010013
BibLaTeX
@ARTICLE{HerzogKunisch:2010:1, AUTHOR = {Herzog, Roland and Kunisch, Karl}, DATE = {2010}, DOI = {10.1002/gamm.201010013}, JOURNALTITLE = {GAMM Reports}, NUMBER = {2}, PAGES = {163--176}, TITLE = {Algorithms for PDE-constrained optimization}, VOLUME = {33}, } -
Preconditioned conjugate gradient method for optimal control problems with control and state constraints ArticleSIAM Journal on Matrix Analysis and Applications 31(5), p.2291-2317 · 2010doi:10.1137/090779127
BibLaTeX
@ARTICLE{HerzogSachs:2010:1, AUTHOR = {Herzog, Roland and Sachs, Ekkehard}, DATE = {2010}, DOI = {10.1137/090779127}, JOURNALTITLE = {SIAM Journal on Matrix Analysis and Applications}, NUMBER = {5}, PAGES = {2291--2317}, TITLE = {Preconditioned conjugate gradient method for optimal control problems with control and state constraints}, VOLUME = {31}, }
2009
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A semismooth Newton method for solving elliptic equations with gradient constraints ArticleESAIM: Mathematical Modelling and Numerical Analysis 43(2), p.209-238 · 2009doi:10.1051/m2an:2008049
BibLaTeX
@ARTICLE{GriesseKunisch:2009:1, AUTHOR = {Griesse, Roland and Kunisch, Karl}, DATE = {2009}, DOI = {10.1051/m2an:2008049}, JOURNALTITLE = {ESAIM: Mathematical Modelling and Numerical Analysis}, NUMBER = {2}, PAGES = {209--238}, TITLE = {A semismooth Newton method for solving elliptic equations with gradient constraints}, VOLUME = {43}, } -
Modeling of a magnetohydrodynamics free surface problem arising in Czochralski crystal growth ArticleMathematical and Computer Modelling of Dynamical Systems 15(2), p.163-175 · 2009doi:10.1080/13873950802551542
BibLaTeX
@ARTICLE{GriesseMeir:2009:1, AUTHOR = {Griesse, Roland and Meir, Amnon J.}, DATE = {2009}, DOI = {10.1080/13873950802551542}, JOURNALTITLE = {Mathematical and Computer Modelling of Dynamical Systems}, NUMBER = {2}, PAGES = {163--175}, TITLE = {Modeling of a magnetohydrodynamics free surface problem arising in Czochralski crystal growth}, VOLUME = {15}, } -
Sensitivity analysis and the adjoint update strategy for optimal control problems with mixed control-state constraints ArticleComputational Optimization and Applications 44(1), p.57-81 · 2009doi:10.1007/s10589-008-9181-x
BibLaTeX
@ARTICLE{GriesseWachsmuth:2009:1, AUTHOR = {Griesse, Roland and Wachsmuth, Daniel}, DATE = {2009}, DOI = {10.1007/s10589-008-9181-x}, JOURNALTITLE = {Computational Optimization and Applications}, NUMBER = {1}, PAGES = {57--81}, TITLE = {Sensitivity analysis and the adjoint update strategy for optimal control problems with mixed control-state constraints}, VOLUME = {44}, }
2008
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The Sequential Quadratic Programming Method for Elliptic Control Problems with Mixed Control-State Constraints ThesisPh.D. thesis, Johannes Kepler University Linz · 2008https://lisss.jku.at/permalink/f/1l2ai6m/ULI_alma2138944000003340
BibLaTeX
@THESIS{Metla:2008:1, AUTHOR = {Metla, Nataliya}, INSTITUTION = {Johannes Kepler University Linz}, URL = {https://lisss.jku.at/permalink/f/1l2ai6m/ULI_alma2138944000003340}, DATE = {2008-08}, TITLE = {The Sequential Quadratic Programming Method for Elliptic Control Problems with Mixed Control-State Constraints}, TYPE = {phdthesis}, } -
Update strategies for perturbed nonsmooth equations ArticleOptimization Methods and Software 23(3), p.321-343 · 2008doi:10.1080/10556780701523551
BibLaTeX
@ARTICLE{GriesseGrundWachsmuth:2008:1, AUTHOR = {Griesse, Roland and Grund, Thomas and Wachsmuth, Daniel}, DATE = {2008}, DOI = {10.1080/10556780701523551}, JOURNALTITLE = {Optimization Methods and Software}, NUMBER = {3}, PAGES = {321--343}, TITLE = {Update strategies for perturbed nonsmooth equations}, VOLUME = {23}, } -
A semismooth Newton method for solving elliptic equations with gradient constraints ProceedingsOberwolfach Reports 5(1), p.603-605 · 2008doi:10.4171/owr/2008/13
BibLaTeX
@ARTICLE{GriesseKunisch:2010:1, AUTHOR = {Griesse, Roland and Kunisch, Karl}, EDITOR = {Kunisch, Karl and Leugering, Günter and Sprekels, Jürgen and Tröltzsch, Fredi}, PUBLISHER = {European Mathematical Society Publishing House}, DATE = {2008}, DOI = {10.4171/owr/2008/13}, ISSUETITLE = {Optimal Control of Coupled Systems of PDE}, JOURNALTITLE = {Oberwolfach Reports}, NUMBER = {1}, PAGES = {603--605}, TITLE = {A semismooth Newton method for solving elliptic equations with gradient constraints}, VOLUME = {5}, } -
A semismooth Newton method for Tikhonov functionals with sparsity constraints ArticleInverse Problems 24(3), p.1-19 · 2008doi:10.1088/0266-5611/24/3/035007
BibLaTeX
@ARTICLE{GriesseLorenz:2008:1, AUTHOR = {Griesse, Roland and Lorenz, Dirk}, DATE = {2008}, DOI = {10.1088/0266-5611/24/3/035007}, JOURNALTITLE = {Inverse Problems}, NUMBER = {3}, EID = {035007}, PAGES = {1--19}, TITLE = {A semismooth Newton method for Tikhonov functionals with sparsity constraints}, VOLUME = {24}, } -
Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems ArticleJournal of Applied Mathematics and Mechanics 88(10), p.776-792 · 2008doi:10.1002/zamm.200800036
BibLaTeX
@ARTICLE{GriesseMetlaRoesch:2008:2, AUTHOR = {Griesse, Roland and Metla, Nataliya and Rösch, Arnd}, DATE = {2008}, DOI = {10.1002/zamm.200800036}, JOURNALTITLE = {Journal of Applied Mathematics and Mechanics}, NUMBER = {10}, PAGES = {776--792}, TITLE = {Convergence analysis of the SQP method for nonlinear mixed-constrained elliptic optimal control problems}, VOLUME = {88}, } -
On the interplay between interior point approximation and parametric sensitivities in optimal control ArticleJournal of Mathematical Analysis and Applications 337(2), p.771-793 · 2008doi:10.1016/j.jmaa.2007.03.106
BibLaTeX
@ARTICLE{GriesseWeiser:2008:1, AUTHOR = {Griesse, Roland and Weiser, Martin}, DATE = {2008}, DOI = {10.1016/j.jmaa.2007.03.106}, JOURNALTITLE = {Journal of Mathematical Analysis and Applications}, NUMBER = {2}, PAGES = {771--793}, TITLE = {On the interplay between interior point approximation and parametric sensitivities in optimal control}, VOLUME = {337}, } -
State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations ArticleJournal of Mathematical Analysis and Applications 343(1), p.257-272 · 2008doi:10.1016/j.jmaa.2008.01.029
BibLaTeX
@ARTICLE{DeLosReyesGriesse:2008:1, AUTHOR = {de los Reyes, Juan Carlos and Griesse, Roland}, DATE = {2008}, DOI = {10.1016/j.jmaa.2008.01.029}, JOURNALTITLE = {Journal of Mathematical Analysis and Applications}, NUMBER = {1}, PAGES = {257--272}, TITLE = {State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations}, VOLUME = {343}, }
2007
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Quantitative stability analysis of optimal solutions in PDE-constrained optimization ArticleJournal of Computational and Applied Mathematics 206(2), p.908-926 · 2007doi:10.1016/j.cam.2006.08.038
BibLaTeX
@ARTICLE{BrandesGriesse:2007:1, AUTHOR = {Brandes, Kerstin and Griesse, Roland}, DATE = {2007}, DOI = {10.1016/j.cam.2006.08.038}, JOURNALTITLE = {Journal of Computational and Applied Mathematics}, NUMBER = {2}, PAGES = {908--926}, TITLE = {Quantitative stability analysis of optimal solutions in PDE-constrained optimization}, VOLUME = {206}, } -
Stability and Sensitivity Analysis in Optimal Control of Partial Differential Equations ThesisHabilitation thesis, Faculty of Natural Sciences, Karl-Franzens University Graz · 2007
BibLaTeX
@THESIS{Griesse:2007:1, AUTHOR = {Griesse, Roland}, INSTITUTION = {Faculty of Natural Sciences, Karl-Franzens University Graz}, DATE = {2007}, TITLE = {Stability and Sensitivity Analysis in Optimal Control of Partial Differential Equations}, TYPE = {Habilitation thesis}, } -
Control issues in magnetohydrodynamics ProceedingsOberwolfach Reports 4(1), p.447-486 · 2007doi:10.4171/owr/2007/08
BibLaTeX
@ARTICLE{GriesseMeirKunisch:2007:1, AUTHOR = {Griesse, Roland and Meir, Amnon J. and Kunisch, Karl}, EDITOR = {Elliott, Charles and Hinze, Michael and Styles, Vanessa}, PUBLISHER = {European Mathematical Society Publishing House}, BOOKTITLE = {Mini-Workshop: Control of Free Boundaries}, DATE = {2007}, DOI = {10.4171/owr/2007/08}, JOURNALTITLE = {Oberwolfach Reports}, NUMBER = {1}, PAGES = {447--486}, TITLE = {Control issues in magnetohydrodynamics}, VOLUME = {4}, } -
Numerical sensitivity analysis for the quantity of interest in PDE-constrained optimization ArticleSIAM Journal on Scientific Computing 29(1), p.22-48 · 2007doi:10.1137/050637273
BibLaTeX
@ARTICLE{GriesseVexler:2007:1, AUTHOR = {Griesse, Roland and Vexler, Boris}, DATE = {2007}, DOI = {10.1137/050637273}, JOURNALTITLE = {SIAM Journal on Scientific Computing}, NUMBER = {1}, PAGES = {22--48}, TITLE = {Numerical sensitivity analysis for the quantity of interest in PDE-constrained optimization}, VOLUME = {29}, }
2006
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Distributed optimal control of Lambda–Omega systems ArticleJournal of Numerical Mathematics 14(1), p.17-40 · 2006doi:10.1163/156939506776382120
BibLaTeX
@ARTICLE{BorziGriesse:2006:1, AUTHOR = {Borzì, Alfio and Griesse, Roland}, DATE = {2006}, DOI = {10.1163/156939506776382120}, JOURNALTITLE = {Journal of Numerical Mathematics}, NUMBER = {1}, PAGES = {17--40}, TITLE = {Distributed optimal control of Lambda--Omega systems}, VOLUME = {14}, } -
Parametric sensitivity analysis of perturbed PDE optimal control problems with state and control constraints ArticleJournal of Optimization Theory and Applications 131(1), p.17-35 · 2006doi:10.1007/s10957-006-9122-8
BibLaTeX
@ARTICLE{BueskensGriesse:2006:1, AUTHOR = {Büskens, Christof and Griesse, Roland}, DATE = {2006}, DOI = {10.1007/s10957-006-9122-8}, JOURNALTITLE = {Journal of Optimization Theory and Applications}, NUMBER = {1}, PAGES = {17--35}, TITLE = {Parametric sensitivity analysis of perturbed PDE optimal control problems with state and control constraints}, VOLUME = {131}, } -
Lipschitz stability of solutions to some state-constrained elliptic optimal control problems ArticleJournal of Analysis and its Applications 25, p.435-455 · 2006doi:10.4171/ZAA/1300
BibLaTeX
@ARTICLE{Griesse:2006:1, AUTHOR = {Griesse, Roland}, DATE = {2006}, DOI = {10.4171/ZAA/1300}, JOURNALTITLE = {Journal of Analysis and its Applications}, PAGES = {435--455}, TITLE = {Lipschitz stability of solutions to some state-constrained elliptic optimal control problems}, VOLUME = {25}, } -
Optimal control for a stationary MHD system in velocity–current formulation ArticleSIAM Journal on Control and Optimization 45(5), p.1822-1845 · 2006doi:10.1137/050624236
BibLaTeX
@ARTICLE{GriesseKunisch:2006:1, AUTHOR = {Griesse, Roland and Kunisch, Karl}, DATE = {2006}, DOI = {10.1137/050624236}, JOURNALTITLE = {SIAM Journal on Control and Optimization}, NUMBER = {5}, PAGES = {1822--1845}, TITLE = {Optimal control for a stationary MHD system in velocity--current formulation}, VOLUME = {45}, } -
Modeling of an MHD free surface problem arising in CZ crystal growth Proceedings5th IMACS Symposium on Mathematical Modelling—5th MATHMOD Vienna · 2006
BibLaTeX
@INPROCEEDINGS{GriesseMeir:2006:1, AUTHOR = {Griesse, Roland and Meir, Amnon J.}, EDITOR = {Troch, I. and Breitenecker, F.}, BOOKTITLE = {5th IMACS Symposium on Mathematical Modelling---5th MATHMOD Vienna}, DATE = {2006}, SERIES = {ARGESIM Reports}, TITLE = {Modeling of an MHD free surface problem arising in CZ crystal growth}, } -
Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system ProceedingsLarge-Scale Nonlinear Optimization(83), p.127-149 · 2006
BibLaTeX
@INPROCEEDINGS{GriesseVolkwein:2006:1, AUTHOR = {Griesse, Roland and Volkwein, Stefan}, EDITOR = {Di Pillo, Gianni and Roma, Massimo}, LOCATION = {Berlin}, PUBLISHER = {Springer}, BOOKTITLE = {Large-Scale Nonlinear Optimization}, DATE = {2006}, NOTE = {Proceedings of the Workshop Large Scale Nonlinear Optimization, Erice}, NUMBER = {83}, PAGES = {127--149}, SERIES = {Nonconvex Optimization and its Applications}, TITLE = {Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system}, }
2005
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Experiences with a space-time multigrid method for the optimal control of a chemical turbulence model ArticleInternational Journal for Numerical Methods in Fluids 47(8–9), p.879-885 · 2005doi:10.1002/fld.904
BibLaTeX
@ARTICLE{BorziGriesse:2005:1, AUTHOR = {Borzì, Alfio and Griesse, Roland}, DATE = {2005}, DOI = {10.1002/fld.904}, JOURNALTITLE = {International Journal for Numerical Methods in Fluids}, NUMBER = {8--9}, PAGES = {879--885}, TITLE = {Experiences with a space-time multigrid method for the optimal control of a chemical turbulence model}, VOLUME = {47}, } -
Differential stability of control constrained optimal control problems for the Navier-Stokes equations ArticleNumerical Functional Analysis and Optimization 26(7–8), p.829-850 · 2005doi:10.1080/01630560500434278
BibLaTeX
@ARTICLE{GriesseHintermuellerHinze:2005:1, AUTHOR = {Griesse, Roland and Hintermüller, Michael and Hinze, Michael}, DATE = {2005}, DOI = {10.1080/01630560500434278}, JOURNALTITLE = {Numerical Functional Analysis and Optimization}, NUMBER = {7--8}, PAGES = {829--850}, TITLE = {Differential stability of control constrained optimal control problems for the Navier-Stokes equations}, VOLUME = {26}, } -
Optimal control in magnetohydrodynamics ProceedingsOberwolfach Reports 2(2), p.1011-1014 · 2005doi:10.4171/owr/2005/18
BibLaTeX
@ARTICLE{GriesseKunisch:2005:1, AUTHOR = {Griesse, Roland and Kunisch, Karl}, EDITOR = {Kunisch, Karl and Leugering, Günter and Sprekels, Jürgen and Tröltzsch, Fredi}, PUBLISHER = {European Mathematical Society Publishing House}, BOOKTITLE = {Workshop: Optimal Control of Coupled Systems of PDE}, DATE = {2005}, DOI = {10.4171/owr/2005/18}, JOURNALTITLE = {Oberwolfach Reports}, NUMBER = {2}, PAGES = {1011--1014}, TITLE = {Optimal control in magnetohydrodynamics}, VOLUME = {2}, } -
A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system ArticleSIAM Journal on Control and Optimization 44(2), p.467-494 · 2005doi:10.1137/S0363012903438696
BibLaTeX
@ARTICLE{GriesseVolkwein:2005:1, AUTHOR = {Griesse, Roland and Volkwein, Stefan}, DATE = {2005}, DOI = {10.1137/S0363012903438696}, JOURNALTITLE = {SIAM Journal on Control and Optimization}, NUMBER = {2}, PAGES = {467--494}, TITLE = {A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system}, VOLUME = {44}, } -
Towards matrix-free AD-based preconditioning of KKT systems in PDE-constrained optimization ArticleProceedings in Applied Mathematics and Mechanics 5(1), p.47-50 · 2005
BibLaTeX
@ARTICLE{GriesseWalther:2005:1, AUTHOR = {Griesse, Roland and Walther, Andrea}, DATE = {2005}, JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics}, NUMBER = {1}, PAGES = {47--50}, TITLE = {Towards matrix-free AD-based preconditioning of KKT systems in PDE-constrained optimization}, VOLUME = {5}, }
2004
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Parametric sensitivity analysis in optimal control of a reaction-diffusion system—Part I: solution differentiability ArticleNumerical Functional Analysis and Optimization 25(1–2), p.93-117 · 2004doi:10.1081/NFA-120034120
BibLaTeX
@ARTICLE{Griesse:2004:1, AUTHOR = {Griesse, Roland}, DATE = {2004}, DOI = {10.1081/NFA-120034120}, JOURNALTITLE = {Numerical Functional Analysis and Optimization}, NUMBER = {1--2}, PAGES = {93--117}, TITLE = {Parametric sensitivity analysis in optimal control of a reaction-diffusion system---Part I: solution differentiability}, VOLUME = {25}, } -
Parametric sensitivity analysis in optimal control of a reaction-diffusion system—Part II: practical methods and examples ArticleOptimization Methods and Software 19(2), p.217-242 · 2004doi:10.1080/10556780410001654250
BibLaTeX
@ARTICLE{Griesse:2004:2, AUTHOR = {Griesse, Roland}, DATE = {2004}, DOI = {10.1080/10556780410001654250}, JOURNALTITLE = {Optimization Methods and Software}, NUMBER = {2}, PAGES = {217--242}, TITLE = {Parametric sensitivity analysis in optimal control of a reaction-diffusion system---Part II: practical methods and examples}, VOLUME = {19}, } -
A semi-smooth Newton method for optimal boundary control of a nonlinear reaction-diffusion system ProceedingsProceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium · 2004
BibLaTeX
@INPROCEEDINGS{GriesseVolkwein:2004:1, AUTHOR = {Griesse, Roland and Volkwein, Stefan}, BOOKTITLE = {Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium}, DATE = {2004}, TITLE = {A semi-smooth Newton method for optimal boundary control of a nonlinear reaction-diffusion system}, } -
Using AD-generated derivatives in optimal control of an industrial robot ProceedingsProgress in Industrial Mathematics at ECMI 2002(5), p.127-132 · 2004
BibLaTeX
@INPROCEEDINGS{GriesseWalther:2004:1, AUTHOR = {Griesse, Roland and Walther, Andrea}, EDITOR = {Buikis, A. and Čiegis, R. and Fitt, A.}, PUBLISHER = {Springer}, BOOKTITLE = {Progress in Industrial Mathematics at ECMI 2002}, DATE = {2004}, NUMBER = {5}, PAGES = {127--132}, SERIES = {Mathematics in Industry}, TITLE = {Using AD-generated derivatives in optimal control of an industrial robot}, } -
Evaluating gradients in optimal control: continuous adjoints versus automatic differentiation ArticleJournal of Optimization Theory and Applications 122(1), p.63-86 · 2004doi:10.1023/B:JOTA.0000041731.71309.f1
BibLaTeX
@ARTICLE{GriesseWalther:2004:2, AUTHOR = {Griesse, Roland and Walther, Andrea}, DATE = {2004}, DOI = {10.1023/B:JOTA.0000041731.71309.f1}, JOURNALTITLE = {Journal of Optimization Theory and Applications}, NUMBER = {1}, PAGES = {63--86}, TITLE = {Evaluating gradients in optimal control: continuous adjoints versus automatic differentiation}, VOLUME = {122}, }
2003
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A reduced SQP algorithm for the optimal control of semilinear parabolic equations ProceedingsSystem Modeling and Optimization XX(130), p.239-253 · 2003doi:10.1007/978-0-387-35699-0_13
BibLaTeX
@INPROCEEDINGS{Griesse:2003:1, AUTHOR = {Griesse, Roland}, EDITOR = {Sachs, Ekkehard W. and Tichatschke, Rainer}, PUBLISHER = {Kluwer Academic Publishers}, BOOKTITLE = {System Modeling and Optimization XX}, DATE = {2003}, DOI = {10.1007/978-0-387-35699-0_13}, NUMBER = {130}, PAGES = {239--253}, SERIES = {IFIP International Federation for Information Processing}, TITLE = {A reduced SQP algorithm for the optimal control of semilinear parabolic equations}, } -
Parametric Sensitivity Analysis for Control-Constrained Optimal Control Problems Governed by Systems of Parabolic Partial Differential Equations ThesisPh.D. thesis, Universität Bayreuth · 2003
BibLaTeX
@THESIS{Griesse:2003:2, AUTHOR = {Griesse, Roland}, INSTITUTION = {Universität Bayreuth}, DATE = {2003}, TITLE = {Parametric Sensitivity Analysis for Control-Constrained Optimal Control Problems Governed by Systems of Parabolic Partial Differential Equations}, TYPE = {phdthesis}, } -
Parametric sensitivity analysis for optimal control problems using automatic differentiation ArticleOptimal Control Applications and Methods 24(6), p.297-314 · 2003doi:10.1002/oca.733
BibLaTeX
@ARTICLE{GriesseWalther:2003:1, AUTHOR = {Griesse, Roland and Walther, Andrea}, DATE = {2003}, DOI = {10.1002/oca.733}, JOURNALTITLE = {Optimal Control Applications and Methods}, NUMBER = {6}, PAGES = {297--314}, TITLE = {Parametric sensitivity analysis for optimal control problems using automatic differentiation}, VOLUME = {24}, }
2001
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Some aspects for instantaneous boundary control of backward-facing step flow ProceedingsShort Communications in Mathematics and Mechanics 81(Supplement 2), p.S251-S252 · 2001
BibLaTeX
@ARTICLE{Griesse:2001:1, AUTHOR = {Griesse, Roland}, EDITOR = {Meier, Gerd E. A.}, DATE = {2001}, JOURNALTITLE = {Short Communications in Mathematics and Mechanics}, NUMBER = {Supplement 2}, PAGES = {S251--S252}, TITLE = {Some aspects for instantaneous boundary control of backward-facing step flow}, VOLUME = {81}, }