-
Total generalized variation of the normal vector field and applications to mesh denoising
SIAM Journal on Imaging Sciences 19(1), p.584-611,
2026
bibtex
@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},
}
-
Sofia G. Sotiriadou, Konstantinos D. Antoniadis, Marc J. Assael,
Viktor Martinek and Marcia L. Huber
Correlation for the viscosity of methane (CH4) from the triple point to 625 K and pressures to 1000 MPa
International Journal of Thermophysics 47(1),
2025
bibtex
@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 = {2025-12},
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},
}
-
Solving semi-linear elliptic optimal control problems with $L^1$-cost via regularization and RAS-preconditioned Newton methods
Numerical Algorithms,
2025
bibtex
@ARTICLE{CiaramellaKartmannMueller:2025:1,
AUTHOR = {Ciaramella, Gabriele and Kartmann, Michael and Müller, Georg},
PUBLISHER = {Springer Science and Business Media LLC},
DATE = {2025-10},
DOI = {10.1007/s11075-025-02209-3},
EPRINT = {2411.00546},
EPRINTTYPE = {arXiv},
JOURNALTITLE = {Numerical Algorithms},
TITLE = {Solving semi-linear elliptic optimal control problems with $L^1$-cost via regularization and RAS-preconditioned Newton methods},
}
-
Metric Frobenius norms and inner products of matrices and linear maps
Linear Algebra and its Applications 727, p.112-128,
2025
bibtex
@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},
}
-
Pelin Çiloğlu, Carmen Tretmans,
Roland Herzog, Jan-F. Pietschmann and Martin Stoll
Preconditioning for a Cahn-Hilliard-Navier-Stokes model for morphology formation in organic solar cells
Journal of Computational Physics 540,
2025
bibtex
@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},
PAGES = {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
Journal of Scientific Computing 104(3),
2025
bibtex
@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},
}
-
Global convergence of semismooth Newton methods for quadratic problems
GAMM Archive for Students 7(1), p.14-30,
2025
bibtex
@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
GAMM Archive for Students 7(1), p.31-45,
2025
bibtex
@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},
}
-
Songmin Yu, Philipp Mascherbauer, Thomas Haupt, Kevan Skorna,
Hannah Rickmann, Maksymilian Kochanski and Lukas Kranzl
Modeling households’ behavior, energy system operation, and interaction in the energy community
Energy,
2025
bibtex
@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},
PAGES = {136338},
TITLE = {Modeling households’ behavior, energy system operation, and interaction in the energy community},
}
-
Mesh denoising and inpainting using the total variation of the normal and a shape Newton approach
SIAM Journal on Scientific Computing 47(1), p.A300-A324,
2025
bibtex
@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
Journal of Chemical \& Engineering Data 70(2), p.727-742,
2025
bibtex
@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},
}
-
Environmental and mental sustainability in academia
European Mathematical Society Magazine 134, p.50-52,
2024
bibtex
@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
International Journal for Computational Methods in Engineering Science and Mechanics 25(6), p.475-488,
2024
bibtex
@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
Inverse Problems 40(12),
2024
bibtex
@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},
PAGES = {125002},
TITLE = {Tractable optimal experimental design using transport maps},
VOLUME = {40},
}
-
Konstantin Sonntag, Bennet Gebken,
Georg Müller, Sebastian Peitz and Stefan Volkwein
A descent method for nonsmooth multiobjective optimization in Hilbert spaces
Journal of Optimization Theory and Applications 203(1), p.455-487,
2024
bibtex
@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},
}
-
An inexact semismooth Newton method with application to adaptive randomized sketching for dynamic optimization
Finite Elements in Analysis and Design 228,
2024
bibtex
@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},
PAGES = {104052},
TITLE = {An inexact semismooth Newton method with application to adaptive randomized sketching for dynamic optimization},
VOLUME = {228},
}
-
Simulationsbasierte Optimierung der zeitabhängigen Pulsleistung beim Laserstrahlschweißen von Aluminiumlegierungen zum Vermeiden von Heißrissen
Schweißen und Schneiden 68(4), p.38-45,
2024
bibtex
@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},
}
-
Optimal control of Hughes' model for pedestrian flow via local attraction
Applied Mathematics and Optimization 88(3),
2023
bibtex
@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},
}
-
A discretize-then-optimize approach to PDE-constrained shape optimization
ESAIM: Control, Optimisation and Calculus of Variations 30,
2023
bibtex
@ARTICLE{HerzogLoayzaRomero:2023:1,
AUTHOR = {Herzog, Roland and Loayza-Romero, Estefanía},
PUBLISHER = {EDP Sciences},
DATE = {2023-10},
DOI = {10.1051/cocv/2023071},
EPRINT = {2109.00076},
EPRINTTYPE = {arXiv},
JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations},
PAGES = {11},
TITLE = {A discretize-then-optimize approach to PDE-constrained shape optimization},
VOLUME = {30},
}
-
The proximal map of the weighted mean absolute error
Proceedings in Applied Mathematics and Mechanics 23(4),
2023
bibtex
@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
Mitteilungen der Deutschen Mathematiker-Vereinigung 31(3), p.156-159,
2023
bibtex
@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},
}
-
Christine Mages, Johannes Steinfurt, Ann-Kathrin Rahm, Dierk Thomas,
Reyhaneh Majidi, Florian Kehrle, Florian André, Katharina Seidensaal, Bernhard Rhein, Tobias Wengenmayer, Alexander Gressle, Dirk Westermann,
Roland Herzog, Jürgen Debus, Norbert Frey and Patrick Lugenbiel
Recurrent ventricular tachycardia originating from the "LV summit" effectively eliminated by stereotactic irradiation - a case report
HeartRhythm Case Reports 9(11), p.802-807,
2023
bibtex
@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
Communications in Computational Physics 34(1), p.1-17,
2023
bibtex
@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
International Journal of Thermophysics 44(7),
2023
bibtex
@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},
}
-
Optimal control of the stationary Kirchhoff equation
Computational Optimization and Applications 85(2), p.479-508,
2023
bibtex
@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
Journal of Mathematics in Industry 13(1),
2023
bibtex
@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
SIAM Journal on Imaging Sciences 16(1), p.313-339,
2023
bibtex
@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
Annals of Mathematical Sciences and Applications 8(3), p.501-543,
2023
bibtex
@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},
}
-
Time regularization in optimal time variable learning
Proceedings in Applied Mathematics and Mechanics 24(1),
2023
bibtex
@ARTICLE{HerbergHerzogKoehne:2023:2,
AUTHOR = {Herberg, Evelyn and Herzog, Roland and Köhne, Frederik},
PUBLISHER = {Wiley},
DATE = {2023},
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},
}
-
First- and second-order analysis for optimization problems with manifold-valued constraints
Journal of Optimization Theory and Applications 195(2), p.596-623,
2022
bibtex
@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},
}
-
A manifold of planar triangular meshes with complete Riemannian metric
Mathematics of Computation 92(339), p.1-50,
2022
bibtex
@ARTICLE{HerzogLoayzaRomero:2022:1,
AUTHOR = {Herzog, Roland and Loayza-Romero, Estefanía},
PUBLISHER = {American Mathematical Society (AMS)},
DATE = {2022-09},
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},
}
-
Efficient scalarization in multiobjective optimal control of a nonsmooth PDE
Computational Optimization and Applications,
2022
bibtex
@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},
TITLE = {Efficient scalarization in multiobjective optimal control of a nonsmooth PDE},
}
-
Fenchel duality and a separation theorem on Hadamard manifolds
SIAM Journal on Optimization 32(2), p.854-873,
2022
bibtex
@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},
}
-
Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation
Mathematical Control \& Related Fields,
2022
bibtex
@ARTICLE{HerbergHinze:2022:1,
AUTHOR = {Herberg, Evelyn and Hinze, Michael},
PUBLISHER = {American Institute of Mathematical Sciences (AIMS)},
DATE = {2022},
DOI = {10.3934/mcrf.2022013},
JOURNALTITLE = {Mathematical Control \& Related Fields},
PAGES = {0},
TITLE = {Variational discretization of one-dimensional elliptic optimal control problems with BV functions based on the mixed formulation},
}
-
Continuous Galerkin schemes for semiexplicit differential-algebraic equations
IMA Journal of Numerical Analysis 42(3), p.2214-2237,
2021
bibtex
@ARTICLE{AltmannHerzog:2021:2,
AUTHOR = {Altmann, Robert and Herzog, Roland},
PUBLISHER = {Oxford University Press (OUP)},
DATE = {2021-05},
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},
}
-
Planning of measurement series for thermodynamic properties based on optimal experimental design
International Journal of Thermophysics 42(7),
2021
bibtex
@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},
}
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Dimensionally consistent preconditioning for saddle-point problems
Computational Methods in Applied Mathematics 21(3), p.593-607,
2021
bibtex
@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},
}
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An extension of the strain transfer principle for fiber reinforced materials
Computational Mechanics 67(5), p.1453-1463,
2021
bibtex
@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},
}
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Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds
Foundations of Computational Mathematics 21(6), p.1465-1504,
2021
bibtex
@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},
}
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Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation
ESAIM: Control, Optimisation and Calculus of Variations 27,
2021
bibtex
@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},
PAGES = {S13},
TITLE = {Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation},
VOLUME = {27},
}
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Stochastic approximation for optimization in shape spaces
SIAM Journal on Optimization 31(1), p.348-376,
2021
bibtex
@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 Dirichlet control of partial differential equations on networks
Electronic Transactions on Numerical Analysis 54, p.392-419,
2021
bibtex
@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},
}
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Error estimation for second-order partial differential equations in nonvariational form
Numerical Methods for Partial Differential Equations 37(3), p.2190-2221,
2020
bibtex
@ARTICLE{BlechschmidtHerzogWinkler:2020:1,
AUTHOR = {Blechschmidt, Jan and Herzog, Roland and Winkler, Max},
PUBLISHER = {Wiley},
DATE = {2020-12},
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},
}
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María Dolores Fajardo, Sorin-Mihai Grad and
José Vidal New duality results for evenly convex optimization problems
Optimization, p.1-22,
2020
bibtex
@ARTICLE{FajardoGradVidal:2020:1,
AUTHOR = {Fajardo, María Dolores and Grad, Sorin-Mihai and Vidal, José},
PUBLISHER = {Informa UK Limited},
DATE = {2020-04},
DOI = {10.1080/02331934.2020.1756287},
EPRINT = {1904.10478},
EPRINTTYPE = {arXiv},
JOURNALTITLE = {Optimization},
PAGES = {1--22},
TITLE = {New duality results for evenly convex optimization problems},
}
-
Johannes Görthofer, Matti Schneider,
Felix Ospald, Andrew Hrymak and Thomas Böhlke
Computational homogenization of sheet molding compound composites based on high fidelity representative volume elements
Computational Materials Science 174,
2020
bibtex
@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},
PAGES = {109456},
TITLE = {Computational homogenization of sheet molding compound composites based on high fidelity representative volume elements},
VOLUME = {174},
}
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Error estimates for the finite element approximation of bilinear boundary control problems
Computational Optimization and Applications 76(1), p.155-199,
2020
bibtex
@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},
}
-
An extragradient-type algorithm for variational inequality on Hadamard manifolds
ESAIM: Control, Optimisation and Calculus of Variations 26,
2020
bibtex
@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},
PAGES = {63},
TITLE = {An extragradient-type algorithm for variational inequality on Hadamard manifolds},
VOLUME = {26},
}
-
Total variation of the normal vector field as shape prior
Inverse Problems 36(5),
2020
bibtex
@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},
PAGES = {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
Inverse Problems 36(5),
2020
bibtex
@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},
PAGES = {054003},
TITLE = {Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems},
VOLUME = {36},
}
-
First and second order shape optimization based on restricted mesh deformations
SIAM Journal on Scientific Computing 42(2), p.A1200-A1225,
2020
bibtex
@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},
}
-
Hyper-differential sensitivity analysis of uncertain parameters in PDE-constrained optimization
International Journal for Uncertainty Quantification 10(3), p.225-248,
2020
bibtex
@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
Mathematical Control and Related Fields 10(4), p.735-759,
2020
bibtex
@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},
}
-
Iteration-complexity and asymptotic analysis of steepest descent method for multiobjective optimization on Riemannian manifolds
Journal of Optimization Theory and Applications 184(2), p.507-533,
2019
bibtex
@ARTICLE{FerreiraLouzeiroPrudente:2019:2,
AUTHOR = {Ferreira, Orizon and Louzeiro, Maurício and Prudente, Leandro},
PUBLISHER = {Springer Science and Business Media LLC},
DATE = {2019-12},
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},
}
-
A proximal point method for difference of convex functions in multi-objective optimization with application to group dynamic problems
Computational Optimization and Applications 75(1), p.263-290,
2019
bibtex
@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 = {2019-10},
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},
}
-
Glaydston de Carvalho Bento, Sandro Dimy Barbosa Bitar, João Xavier da Cruz Neto, Paulo Roberto Oliveira and João Carlos de Oliveira Souza
Computing Riemannian center of mass on Hadamard manifolds
Journal of Optimization Theory and Applications 183(3), p.977-992,
2019
bibtex
@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},
}
-
fibergen: An introductory tool for FFT-based material homogenization
Journal of Open Source Software 4(34),
2019
bibtex
@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},
PAGES = {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
Engineering Optimization 51(3), p.465-483,
2019
bibtex
@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},
}
-
Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds
SIAM Journal on Optimization 29(4), p.2423-2444,
2019
bibtex
@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},
}
-
Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators
Applied Mathematics \& Optimization 81(1), p.23-62,
2019
bibtex
@ARTICLE{ChristofWachsmuth:2019:1,
AUTHOR = {Christof, Constantin and Wachsmuth, Gerd},
PUBLISHER = {Springer Science and Business Media LLC},
DATE = {2019-01},
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},
}
-
Optimum experimental design for interface identification problems
SIAM Journal on Scientific Computing 41(6), p.A3498-A3523,
2019
bibtex
@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
SIAM Journal on Optimization 29(4), p.2517-2541,
2019
bibtex
@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
Journal of Mathematical Imaging and Vision 61(4), p.411-431,
2019
bibtex
@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
Advances in Computational Mathematics 45(2), p.495-517,
2019
bibtex
@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
Pure and Applied Functional Analysis 4(2), p.271-295,
2019
bibtex
@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},
}
-
Finite element error estimates for normal derivatives on boundary concentrated meshes
SIAM Journal on Numerical Analysis 57(5), p.2043-2073,
2019
bibtex
@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
Inverse Problems and Imaging 13(4), p.755-786,
2019
bibtex
@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
Journal of Convex Analysis 26(1), p.153-188,
2019
bibtex
@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},
}
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Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization
Numerische Mathematik,
2019
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@ARTICLE{Winkler:2019:1,
AUTHOR = {Winkler, Max},
DATE = {2019},
DOI = {10.1007/s00211-019-01091-1},
JOURNALTITLE = {Numerische Mathematik},
TITLE = {Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization},
}
-
Thomas Apel, Sergejs Rogovs, Johannes Pfefferer and
Max Winkler Maximum norm error estimates for Neumann boundary value problems on graded meshes
IMA Journal of Numerical Analysis 40(1), p.474-497,
2018
bibtex
@ARTICLE{ApelRogovsPfeffererWinkler:2018:1,
AUTHOR = {Apel, Thomas and Rogovs, Sergejs and Pfefferer, Johannes and Winkler, Max},
PUBLISHER = {Oxford University Press (OUP)},
DATE = {2018-12},
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},
}
-
Optimality conditions for a class of inverse optimal control problems with partial differential equations
Optimization 68(2--3), p.615-643,
2018
bibtex
@ARTICLE{HarderWachsmuth:2018:3,
AUTHOR = {Harder, Felix and Wachsmuth, Gerd},
PUBLISHER = {Informa UK Limited},
DATE = {2018-08},
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 limiting normal cone of a complementarity set in Sobolev spaces
Optimization, p.1-25,
2018
bibtex
@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},
PAGES = {1--25},
TITLE = {The limiting normal cone of a complementarity set in Sobolev spaces},
}
-
Jonathan Köbler, Matti Schneider,
Felix Ospald, Heiko Andrä and Ralf Müller
Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts
Computational Mechanics 61(6), p.729-750,
2018
bibtex
@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},
}
-
A note on the equivalence and the boundary behavior of a class of Sobolev capacities
GAMM-Mitteilungen 40(3), p.238-266,
2018
bibtex
@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},
}
-
Bernardo González Merino, Thomas Jahn, Alexandr Polyanskii and
Gerd Wachsmuth Hunting for reduced polytopes
Discrete \& Computational Geometry 60(3), p.801-808,
2018
bibtex
@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},
}
-
A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve
Frontiers in Applied Mathematics and Statistics 4,
2018
bibtex
@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},
}
-
Second-order analysis and numerical approximation for bang-bang bilinear control problems
SIAM Journal on Control and Optimization 56(6), p.4203-4227,
2018
bibtex
@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
SIAM Journal on Optimization 28(3), p.2097-2130,
2018
bibtex
@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
GAMM-Mitteilungen 40(4), p.339-350,
2018
bibtex
@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
SIAM Journal on Applied Mathematics 78(3), p.1553-1576,
2018
bibtex
@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
Zeitschrift für Analysis und ihre Anwendungen 37(4), p.377-388,
2018
bibtex
@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
GAMM-Mitteilungen 40(4), p.312-338,
2018
bibtex
@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
SIAM Journal on Imaging Sciences 11(2), p.889-922,
2018
bibtex
@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
Optimization and Engineering 19(3), p.591-627,
2018
bibtex
@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},
}
-
Optimal control of an elastic crane-trolley-load system---A case study for optimal control of coupled ODE-PDE systems
Mathematical and Computer Modelling of Dynamical Systems 24(2), p.182-206,
2018
bibtex
@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
IFAC-PapersOnLine 51(2), p.272-277,
2018
bibtex
@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},
}
-
Pointwise constraints in vector-valued Sobolev spaces. With applications in optimal control
Applied Mathematics \& Optimization 77(3), p.463-497,
2018
bibtex
@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},
}
-
The weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry
Set-Valued and Variational Analysis 27(1), p.265-294,
2017
bibtex
@ARTICLE{MehlitzWachsmuth:2017:1,
AUTHOR = {Mehlitz, Patrick and Wachsmuth, Gerd},
PUBLISHER = {Springer Science and Business Media LLC},
DATE = {2017-12},
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},
}
-
A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites
Computational Mechanics 60(4), p.595-611,
2017
bibtex
@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
ESAIM: Control, Optimisation and Calculus of Variations 23(1), p.263-295,
2017
bibtex
@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
SIAM Journal on Control and Optimization 55(5), p.3066-3090,
2017
bibtex
@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
Nonlinear Analysis: Real World Applications 35, p.75-101,
2017
bibtex
@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
International Journal for Numerical Methods in Engineering 110(8), p.703-725,
2017
bibtex
@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},
}
-
A modified implementation of MINRES to monitor residual subvector norms for block systems
SIAM Journal on Scientific Computing 39(6), p.A2645-A2663,
2017
bibtex
@ARTICLE{HerzogSoodhalter:2017:1,
AUTHOR = {Herzog, Roland and Soodhalter, Kirk},
DATE = {2017},
DOI = {10.1137/16M1093021},
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
Journal of Inverse and Ill-Posed Problems 25(5), p.553-572,
2017
bibtex
@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
Optimal Control Applications and Methods 38(1), p.112-132,
2017
bibtex
@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
Computational Optimization and Applications 68(2), p.243-287,
2017
bibtex
@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
SIAM Journal on Numerical Analysis 55(3), p.1412-1436,
2017
bibtex
@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},
}
-
Regularization and discretization error estimates for optimal control of ODEs with group sparsity
ESAIM: Control, Optimisation and Calculus of Variations,
2017
bibtex
@ARTICLE{SchneiderWachsmuth:2017:1,
AUTHOR = {Schneider, Christopher and Wachsmuth, Gerd},
DATE = {2017},
DOI = {10.1051/cocv/2017049},
JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations},
TITLE = {Regularization and discretization error estimates for optimal control of ODEs with group sparsity},
}
-
Optimal control of a rate-independent evolution equation via viscous regularization
Discrete and Continuous Dynamical Systems - Series S 10(6), p.1467-1485,
2017
bibtex
@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
Set-Valued and Variational Analysis 25(1), p.133-175,
2017
bibtex
@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
Numerische Mathematik 137(3), p.741-772,
2017
bibtex
@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},
}
-
Optimal control problems in finite strain elasticity by inner pressure and fiber tension
Frontiers in Applied Mathematics and Statistics 2(4),
2016
bibtex
@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
SIAM Journal on Numerical Analysis 54(2), p.688-718,
2016
bibtex
@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},
}
-
Weak and strong stationarity in generalized bilevel programming and bilevel optimal control
Optimization 65(5), p.907-935,
2016
bibtex
@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},
}
-
The limiting normal cone to pointwise defined sets in Lebesgue spaces
Set-Valued and Variational Analysis, p.1-19,
2016
bibtex
@ARTICLE{MehlitzWachsmuth:2016:2,
AUTHOR = {Mehlitz, Patrick and Wachsmuth, Gerd},
DATE = {2016},
DOI = {10.1007/s11228-016-0393-4},
JOURNALTITLE = {Set-Valued and Variational Analysis},
PAGES = {1--19},
TITLE = {The limiting normal cone to pointwise defined sets in Lebesgue spaces},
}
-
Optimal control of static elastoplasticity in primal formulation
SIAM Journal on Control and Optimization 54(6), p.3016-3039,
2016
bibtex
@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
International Journal for Numerical Methods in Engineering 105(9), p.693-720,
2016
bibtex
@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
Computer Methods in Applied Mechanics and Engineering 309, p.476-496,
2016
bibtex
@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
SIAM Journal on Numerical Analysis 54(2), p.1169-1192,
2016
bibtex
@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
Proceedings in Applied Mathematics and Mechanics 16(1), p.793-794,
2016
bibtex
@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
Zeitschrift für Analysis und ihre Anwendungen 35(1), p.81-118,
2016
bibtex
@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
SIAM Journal on Control and Optimization 54(2), p.964-986,
2016
bibtex
@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},
}
-
Annular and sectorial sparsity in optimal control of elliptic equations
Computational Optimization and Applications 62(1), p.157-180,
2015
bibtex
@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
Optimization and Engineering 16(4), p.737-766,
2015
bibtex
@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
SIAM Journal on Numerical Analysis 53(3), p.1304-1324,
2015
bibtex
@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
SIAM Journal on Control and Optimization 53(4), p.2722-2723,
2015
bibtex
@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},
}
-
Achieving optimal convergence order for FEM in control constrained optimal control problems
Proceedings in Applied Mathematics and Mechanics 15(1), p.731-734,
2015
bibtex
@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
Zeitschrift für Analysis und ihre Anwendungen 34(4), p.391-418,
2015
bibtex
@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
Journal of Optimization Theory and Applications 166(2), p.480-507,
2015
bibtex
@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},
}
-
A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space
Electronic Transactions on Numerical Analysis 41, p.13-20,
2014
bibtex
@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 an oblique derivative problem
Annals of the Academy of Romanian Scientists. Series on Mathematics and its Applications 6(1), p.50-73,
2014
bibtex
@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
Journal of Mathematical Analysis and Applications 414(1), p.259-272,
2014
bibtex
@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
Mathematical Programming 147(1--2), p.331-350,
2014
bibtex
@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
SIAM Journal on Optimization 24(4), p.1914-1932,
2014
bibtex
@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},
}
-
Analytical computation of multiple interference fits under elasto-plastic deformations
Zeitschrift für Angewandte Mathematik und Mechanik 94(12), p.1058-1064,
2013
bibtex
@ARTICLE{WachsmuthLaetzerLeidich:2013:1,
AUTHOR = {Wachsmuth, Gerd and Lätzer, Michael and Leidich, Erhard},
PUBLISHER = {Wiley},
DATE = {2013-09},
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},
}
-
Primal-dual methods for the computation of trading regions under proportional transaction costs
Mathematical Methods of Operations Research 77(1), p.101-130,
2013
bibtex
@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
SIAM Journal on Optimization 23(1), p.321-352,
2013
bibtex
@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},
}
-
On LICQ and the uniqueness of Lagrange multipliers
Operations Research Letters 41(1), p.78-80,
2013
bibtex
@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},
}
-
Implementation of an X-FEM solver for the classical two-phase Stefan problem
Journal of Scientific Computing 52(2), p.271-293,
2012
bibtex
@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},
}
-
Optimality conditions and error analysis of semilinear elliptic control problems with $L^1$ cost functional
SIAM Journal on Optimization 22(3), p.795-820,
2012
bibtex
@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
Numerische Mathematik 122(4), p.645-669,
2012
bibtex
@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
SIAM Journal on Control and Optimization 50(5), p.3052-3082,
2012
bibtex
@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
GAMM-Rundbrief(2), p.16-20,
2012
bibtex
@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
Optimization 61, p.685-697,
2012
bibtex
@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
SIAM Journal on Control and Optimization 50(2), p.943-963,
2012
bibtex
@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
SIAM Journal on Control and Optimization 50(5), p.2836-2861,
2012
bibtex
@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},
}
-
Optimal control of the classical two-phase Stefan problem in level set formulation
SIAM Journal on Scientific Computing 33(1), p.342-363,
2011
bibtex
@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
Journal of Applied Mathematics and Mechanics 91(10), p.777-794,
2011
bibtex
@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
Journal of Mathematical Analysis and Applications 382(2), p.802-813,
2011
bibtex
@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
GAMM Reports 34(1), p.39-44,
2011
bibtex
@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
Control and Cybernetics 40(4), p.1125-1158,
2011
bibtex
@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},
}
-
Convergence and regularization results for optimal control problems with sparsity functional
ESAIM: Control, Optimisation and Calculus of Variations 17(3), p.858-886,
2011
bibtex
@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},
}
-
Lipschitz stability for elliptic optimal control problems with mixed control-state constraints
Optimization 59(6), p.833-849,
2010
bibtex
@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},
}
-
Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints
Control and Cybernetics 39(3), p.717-738,
2010
bibtex
@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
GAMM Reports 33(2), p.163-176,
2010
bibtex
@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
SIAM Journal on Matrix Analysis and Applications 31(5), p.2291-2317,
2010
bibtex
@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},
}
-
A robustification approach in unconstrained quadratic optimization
Mathematical Programming Series A 128(1--2), p.231-252,
2009
bibtex
@ARTICLE{BernauerGriesse:2009:1,
AUTHOR = {Bernauer, Martin K. and Griesse, Roland},
DATE = {2009},
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},
}
-
A semismooth Newton method for solving elliptic equations with gradient constraints
ESAIM M2AN. Mathematical Modelling and Numerical Analysis 43(2), p.209-238,
2009
bibtex
@ARTICLE{GriesseKunisch:2009:1,
AUTHOR = {Griesse, Roland and Kunisch, Karl},
DATE = {2009},
DOI = {10.1051/m2an:2008049},
JOURNALTITLE = {ESAIM M2AN. 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
Mathematical and Computer Modelling of Dynamical Systems 15(2), p.163-175,
2009
bibtex
@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
Computational Optimization and Applications 44(1), p.57-81,
2009
bibtex
@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},
}
-
Update strategies for perturbed nonsmooth equations
Optimization Methods and Software 23(3), p.321-343,
2008
bibtex
@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 Tikhonov functionals with sparsity constraints
Inverse Problems 24(3),
2008
bibtex
@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},
PAGES = {035007 (19pp)},
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
Journal of Applied Mathematics and Mechanics 88(10), p.776-792,
2008
bibtex
@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
Journal of Mathematical Analysis and Applications 337(2), p.771-793,
2008
bibtex
@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
Journal of Mathematical Analysis and Applications 343(1), p.257-272,
2008
bibtex
@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},
}
-
Quantitative stability analysis of optimal solutions in PDE-constrained optimization
Journal of Computational and Applied Mathematics 206(2), p.908-926,
2007
bibtex
@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},
}
-
Numerical sensitivity analysis for the quantity of interest in PDE-constrained optimization
SIAM Journal on Scientific Computing 29(1), p.22-48,
2007
bibtex
@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},
}
-
Distributed optimal control of Lambda--Omega systems
Journal of Numerical Mathematics 14(1), p.17-40,
2006
bibtex
@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
Journal of Optimization Theory and Applications 131(1), p.17-35,
2006
bibtex
@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
Journal of Analysis and its Applications 25, p.435-455,
2006
bibtex
@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
SIAM Journal on Control and Optimization 45(5), p.1822-1845,
2006
bibtex
@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},
}
-
Experiences with a space-time multigrid method for the optimal control of a chemical turbulence model
International Journal for Numerical Methods in Fluids 47(8--9), p.879-885,
2005
bibtex
@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
Numerical Functional Analysis and Optimization 26(7--8), p.829-850,
2005
bibtex
@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},
}
-
A primal-dual active set strategy for optimal boundary control of a nonlinear reaction-diffusion system
SIAM Journal on Control and Optimization 44(2), p.467-494,
2005
bibtex
@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
Proceedings in Applied Mathematics and Mechanics 5(1), p.47-50,
2005
bibtex
@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},
}
-
Parametric sensitivity analysis in optimal control of a reaction-diffusion system---Part I: solution differentiability
Numerical Functional Analysis and Optimization 25(1--2), p.93-117,
2004
bibtex
@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
Optimization Methods and Software 19(2), p.217-242,
2004
bibtex
@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},
}
-
Evaluating gradients in optimal control: continuous adjoints versus automatic differentiation
Journal of Optimization Theory and Applications 122(1), p.63-86,
2004
bibtex
@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},
}
-
Parametric sensitivity analysis for optimal control problems using automatic differentiation
Optimal Control Applications and Methods 24(6), p.297-314,
2003
bibtex
@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},
}
-
Unit-aware genetic programming for the development of empirical equations
Parallel Problem Solving from Nature – PPSN XVIII, p.168-183,
2024
bibtex
@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},
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},
}
-
Christian Naumann,
Andreas Naumann, Nico Bertaggia, Alexander Geist, Janine Glänzel,
Roland Herzog, Daniel Zontar, Christian Brecher and Martin Dix
Hybrid thermal error compensation combining integrated deformation sensor and regression analysis based models for complex machine tool designs
3rd International Conference on Thermal Issues in Machine Tools (ICTIMT2023), p.28-40,
2023
bibtex
@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},
}
-
Advanced open source data formats for geometrically and physically coupled systems
Proceedings of Asian Modelica Conference 2022,
2022
bibtex
@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},
}
-
A nonlinear optimized Schwarz preconditioner for elliptic optimal control problems
Domain Decomposition Methods in Science and Engineering XXVI, p.391-398,
2022
bibtex
@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},
}
-
Influence of solidification rate on hot crack behavior in heat conduction laser beam welding of EN AW-6082
Procedia CIRP 111, p.490-495,
2022
bibtex
@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},
}
-
Optimal sensor placement for stochastic sources in machine tools
Proceedings in Applied Mathematics and Mechanics 21(1),
2021
bibtex
@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
Proceedings in Applied Mathematics and Mechanics 21(1),
2021
bibtex
@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
Oberwolfach Reports 17(4), p.1791-1821,
2021
bibtex
@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},
}
-
Optimal positioning methods of integral deformation sensors --- expert knowledge versus mathematical optimization
MM Science Journal 2021(3), p.4628-4635,
2021
bibtex
@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
MM Science Journal 2021(3), p.4652-4659,
2021
bibtex
@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},
}
-
Optimal sensor placement for thermo-elastic coupled machine models
Proceedings in Applied Mathematics and Mechanics 20(1),
2021
bibtex
@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},
}
-
Evaluation of optimal positioning methods of integral deformation sensors for the correction of thermal errors in machine tools
Conference Proceedings on Thermal Issues 2020, p.26-29,
2020
bibtex
@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},
}
-
Stefan Sauerzapf, Julia Vettermann,
Andreas Naumann, Jens Saak, Michael Beitelschmidt and Peter Benner
Simulation of the thermal behavior of machine tools for efficient machine development and online correction of the tool center point (TCP)-displacement
Conference Proceedings on Thermal Issues 2020, p.135-138,
2020
bibtex
@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},
}
-
Sparse discretization of sparse control problems
Proceedings in Applied Mathematics and Mechanics 19(1),
2019
bibtex
@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},
}
-
Geometry processing problems using the total variation of the normal vector field
Proceedings in Applied Mathematics and Mechanics 19(1),
2019
bibtex
@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},
}
-
Shape optimization: what to do first, optimize or discretize?
Proceedings in Applied Mathematics and Mechanics 19(1),
2019
bibtex
@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},
}
-
Optimal sensor placement based on model order reduction
Conference on Thermal Issues in Machine Tools, p.355-365,
2018
bibtex
@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},
}
-
Iterative solution of optimality systems in optimal control
Oberwolfach Reports 14(1), p.185-186,
2018
bibtex
@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},
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},
}
-
Jean Pierre Bergmann, Martin Bielenin,
Roland A. Herzog, Jörg Hildebrand,
Ilka Riedel, Klaus Schricker, Carsten Trunk and Karl Worthmann
Prevention of solidification cracking during pulsed laser beam welding
Proceedings in Applied Mathematics and Mechanics 17(1), p.405-406,
2017
bibtex
@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},
}
-
SIMP based topology optimization for injection molding of SFRPs
Advances in Structural and Multidisciplinary Optimization, p.850-861,
2017
bibtex
@INPROCEEDINGS{OspaldHerzog:2017:1,
AUTHOR = {Ospald, Felix and Herzog, Roland},
PUBLISHER = {Springer International Publishing},
BOOKTITLE = {Advances in Structural and Multidisciplinary Optimization},
DATE = {2017-12},
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},
}
-
Topology optimization for injection molding of short fiber-reinforced plastics
Proceedings in Applied Mathematics and Mechanics 17(1), p.337-338,
2017
bibtex
@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},
}
-
Optimale Sensorplatzierung und Online-Zustands- und Parameter-Identifikation
Proceedings of the 5th Colloquium of SFB/Transregio 96,
2017
bibtex
@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},
}
-
Janine Glänzel,
Roland Herzog, Steffen Ihlenfeldt, Arnd Meyer and Roman Unger
Simulation-based correction approach for thermo-elastic workpiece deformations during milling process
Proceedings of the 7th HPC 2016 - CIRP Conference on High Performance Cutting 46, p.103-106,
2016
bibtex
@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},
}
-
Parameteridentifikation in thermo-elastischen Systemen
Proceedings of the 4th Colloquium of SFB/Transregio 96, p.55-82,
2016
bibtex
@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},
}
-
Matthias Kabel, Andreas Fink,
Felix Ospald and Matti Schneider
Nonlinear composite voxels and FFT-based homogenization
ECCOMAS,
2016
bibtex
@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},
}
-
Christian Naumann,
Ilka Riedel, Steffen Ihlenfeldt and Ulrich Priber
Characteristic diagram based correction algorithms for the thermo-elastic deformation of machine tools
Procedia CIRP 41, p.801-805,
2016
bibtex
@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
Proceedings in Applied Mathematics and Mechanics 16(1), p.673-674,
2016
bibtex
@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},
}
-
Using the on-state-V$_{be,sat}$-voltage for temperature estimation of SiC-BJTs during normal operation
PCIM Europe 2015, p.132-139,
2015
bibtex
@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},
}
-
Susann Hannusch, Michael Herzog, Jörn Ihlemann, Lothar Kroll, Arnd Meyer,
Felix Ospald, Gudula Rünger, Rolf Springer, Martin Stockmann and Lars Ulke-Winter
Efficient simulation, optimization, and validation of lightweight structures
Proceedings of the 2nd International MERGE Technologies Conference for Lightweight Structures (IMTC 2015), p.219-227,
2015
bibtex
@INPROCEEDINGS{HannuschHerzogHofmannIhlemannKrollMeyerOspaldRuengerSpringerStockmannUlkeWinter:2015:1,
AUTHOR = {Hannusch, Susann and Herzog, Roland 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},
DOI = {10.1364/ofs.2018.tub6},
PAGES = {219--227},
TITLE = {Efficient simulation, optimization, and validation of lightweight structures},
}
-
Towards topology optimization in quasi-static elastoplasticity
IFAC-PapersOnLine 48(1), p.627-628,
2015
bibtex
@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
Conference Proceedings of the YIC GACM 2015, p.178-181,
2015
bibtex
@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},
}
-
Using cylindrical algebraic decomposition and local Fourier analysis to study numerical methods: two examples
16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, p.42-49,
2014
bibtex
@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},
}
-
Michael Hofmann,
Felix Ospald, Hansjorg Schmidt and Rolf Springer
Programming support for the flexible coupling of distributed software components for scientific simulations
Software Engineering and Applications (ICSOFT-EA), 2014 9th International Conference on, p.506-511,
2014
bibtex
@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},
}
-
Optimal control of large deformation elasticity by fiber tension
Proceedings in Applied Mathematics and Mechanics 14(1), p.879-880,
2014
bibtex
@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},
}
-
FETI-DP methods for optimal control problems
Domain Decomposition Methods in Science and Engineering XXI 98, p.337-344,
2014
bibtex
@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},
PAGES = {337--344},
SERIES = {Lecture Notes in Computational Science and Engineering},
TITLE = {FETI-DP methods for optimal control problems},
VOLUME = {98},
}
-
Scalability of a FETI-DP method for optimal control problems
Proceedings in Applied Mathematics and Mechanics 14(1), p.837-838,
2014
bibtex
@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
Proceedings in Applied Mathematics and Mechanics 14(1), p.881-882,
2014
bibtex
@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},
}
-
Numerical simulation of injection molding using OpenFOAM
Proceedings in Applied Mathematics and Mechanics 14(1), p.673-674,
2014
bibtex
@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 experimental design for heat transfer experiments
Oberwolfach Reports 10(4), p.256-257,
2013
bibtex
@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},
}
-
Approximation of sparse controls in semilinear elliptic equations
Large-Scale Scientific Computing 7116, p.16-27,
2012
bibtex
@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},
PAGES = {16--27},
SERIES = {Lecture Notes in Computer Science},
TITLE = {Approximation of sparse controls in semilinear elliptic equations},
VOLUME = {7116},
}
-
Optimal control of the two-phase Stefan problem in level set formulation
Oberwolfach Reports,
2010
bibtex
@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},
JOURNALTITLE = {Oberwolfach Reports},
PAGES = {261},
TITLE = {Optimal control of the two-phase Stefan problem in level set formulation},
}
-
A semismooth Newton method for solving elliptic equations with gradient constraints
Oberwolfach Reports, p.603-605,
2008
bibtex
@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},
JOURNALTITLE = {Oberwolfach Reports},
PAGES = {603--605},
TITLE = {A semismooth Newton method for solving elliptic equations with gradient constraints},
}
-
Control issues in magnetohydrodynamics
Oberwolfach Reports, p.447-486,
2007
bibtex
@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},
DATE = {2007},
DOI = {10.4171/owr/2007/08},
JOURNALTITLE = {Oberwolfach Reports},
PAGES = {447--486},
TITLE = {Control issues in magnetohydrodynamics},
}
-
Modeling of an MHD free surface problem arising in CZ crystal growth
5th IMACS Symposium on Mathematical Modelling---5th MATHMOD Vienna,
2006
bibtex
@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
Large-Scale Nonlinear Optimization 83, p.127-149,
2006
bibtex
@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},
PAGES = {127--149},
SERIES = {Nonconvex Optimization and its Applications},
TITLE = {Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system},
VOLUME = {83},
}
-
Optimal control in magnetohydrodynamics
Oberwolfach Reports, p.1011-1014,
2005
bibtex
@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},
DATE = {2005},
DOI = {10.4171/owr/2005/18},
JOURNALTITLE = {Oberwolfach Reports},
PAGES = {1011--1014},
TITLE = {Optimal control in magnetohydrodynamics},
}
-
A semi-smooth Newton method for optimal boundary control of a nonlinear reaction-diffusion system
Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium,
2004
bibtex
@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
Progress in Industrial Mathematics at ECMI 2002 5, p.127-132,
2004
bibtex
@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},
PAGES = {127--132},
SERIES = {Mathematics in Industry},
TITLE = {Using AD-generated derivatives in optimal control of an industrial robot},
VOLUME = {5},
}
-
A reduced SQP algorithm for the optimal control of semilinear parabolic equations
System Modeling and Optimization XX 130, p.239-253,
2003
bibtex
@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},
PAGES = {239--253},
SERIES = {IFIP — The International Federation for Information Processing},
TITLE = {A reduced SQP algorithm for the optimal control of semilinear parabolic equations},
VOLUME = {130},
}
-
Some aspects for instantaneous boundary control of backward-facing step flow
Short Communications in Mathematics and Mechanics 81(Supplement 2), p.S251-S252,
2001
bibtex
@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},
}
