Publications

Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler, Emmanuel Trélat (2022). Optimization and Control for Partial Differential Equations.

Maurício Silva Louzeiro, Ronny Bergmann, Roland Herzog (2022). Fenchel duality and a separation theorem on Hadamard manifolds. SIAM Journal on Optimization.

Ophelia Frotscher, Roland Herzog, Markus Richter (2021). Planning of measurement series for thermodynamic properties based on optimal experimental design. International Journal of Thermophysics 42(7).

Roland Herzog (2021). Dimensionally consistent preconditioning for saddle-point problems. Computational Methods in Applied Mathematics 21(3), p.593-607.

Robert Altmann, Roland Herzog (2021). Continuous Galerkin schemes for semiexplicit differential-algebraic equations. IMA Journal of Numerical Analysis.

Christian Brecher, Roland Herzog, Robert Spierling, Andreas Naumann, Filippos Tzanetos (2021). Optimal positioning methods of integral deformation sensors -- expert knowledge versus mathematical optimization. in: MM Science Journal, p.4628-4635.

Julia Vettermann, Stefan Sauerzapf, Andreas Naumann, Jens Saak, Peter Benner, Michael Beitelschmidt, Roland Herzog (2021). Model order reduction methods for coupled machine tool models. in: MM Science Journal.

Felix Ospald, Kai Bergermann, Roland Herzog (2021). An extension of the strain transfer principle for fiber reinforced materials. Computational Mechanics 67(5), p.1453-1463.

Caroline Geiersbach, Estefanía Loayza-Romero, Kathrin Welker (2021). Stochastic approximation for optimization in shape spaces. SIAM Journal on Optimization 31(1), p.348-376.

Marco Bernreuther, Georg Müller, Stefan Volkwein (2021). Stationarity conditions and scalarization in multiobjective optimal control of a nonsmooth PDE.

Kai Bergermann, Martin Stoll, Toni Volkmer (2021). Semi-supervised learning for aggregated multilayer graphs using diffuse interface methods and fast matrix vector products. SIAM Journal on Mathematics of Data Science 3(2), p.758-785.

Marco Bernreuther, Georg Müller, Stefan Volkwein (2021). Reduced basis model order reduction in optimal control of a nonsmooth semilinear elliptic PDE. in: Optimization and Control for Partial Differential Equations, Radon Series on Computational and Applied Mathematics.

Andreas Naumann, Roland Herzog (2021). Optimal sensor placement for thermo-elastic coupled machine models. in: Proceedings in Applied Mathematics and Mechanics 20(1).

Masoumeh Hashemi, Roland Herzog, Thomas M. Surowiec (2021). Optimal control of the Kirchhoff equation.

Gabriele Ciaramella, Felix Kwok, Georg Müller (2021). Nonlinear optimized Schwarz preconditioner for elliptic optimal control problems.

Constantin Christof, Georg Müller (2021). Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation. ESAIM: Control, Optimisation and Calculus of Variations 27, p.S13.

Ronny Bergmann, Roland Herzog, Julián Ortiz López, Anton Schiela (2021). First- and second-order analysis for optimization problems with manifold-valued constraints.

Ronny Bergmann, Roland Herzog, Maurício Silva Louzeiro, Daniel Tenbrinck, José Vidal-Núñez (2021). Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds. Foundations of Computational Mathematics.

Roland Herzog, Dmytro Strelnikov (2021). An optimal control problem for single-spot pulsed laser welding.

Roland Herzog, Estefanía Loayza-Romero (2021). A discretize-then-optimize approach to PDE-constrained shape optimization.

Jan Blechschmidt, Roland Herzog, Max Winkler (2020). Error estimation for second-order partial differential equations in nonvariational form. Numerical Methods for Partial Differential Equations 37(3), p.2190-2221.

María Dolores Fajardo, Sorin-Mihai Grad, José Vidal (2020). New duality results for evenly convex optimization problems. Optimization, p.1-22.

Johannes Görthofer, Matti Schneider, Felix Ospald, Andrew Hrymak, Thomas Böhlke (2020). Computational homogenization of sheet molding compound composites based on high fidelity representative volume elements. Computational Materials Science 174, p.109456.

Stefan Sauerzapf, Julia Vettermann, Andreas Naumann, Jens Saak, Michael Beitelschmidt, Peter Benner (2020). Simulation of the thermal behavior of machine tools for efficient machine development and online correction of the tool center point (TCP)-displacement. in: , p.135-138.

Christian Brecher, Roland Herzog, Robert Spierling, Filippos Tzanetos, Andreas Naumann (2020). Evaluation of optimal positioning methods of integral deformation sensors for the correction of thermal errors in machine tools. in: euspen Special Interest Group Meeting on Thermal Issues, p.26-29.

Max Winkler (2020). Error estimates for the finite element approximation of bilinear boundary control problems. Computational Optimization and Applications 76(1), p.155-199.

Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez (2020). Total variation of the normal vector field as shape prior. Inverse Problems 36(5), p.054004.

Felix Ospald, Roland Herzog (2020). Short note on a relation between the inverse of the cosine and Carlson's elliptic integral $R_D$.

M. Sajjad Edalatzadeh, Dante Kalise, Kirsten A. Morris, Kevin Sturm (2020). Shape optimization of actuators over Banach spaces for nonlinear systems.

Roland Herzog, Jan-Frederik Pietschmann, Max Winkler (2020). Optimal control of Hughes' model for pedestrian flow via local attraction.

Lukas Baumgärtner, Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez (2020). Mesh denoising and inpainting using the total variation of the normal.

Joseph Hart, Bart Bloemen Waanders, Roland Herzog (2020). Hyper-differential sensitivity analysis of uncertain parameters in PDE-constrained optimization. International Journal for Uncertainty Quantification 10(3), p.225-248.

Roland Herzog, Eric Legler (2020). First-order methods for optimal experimental design problems with bound constraints.

Orizon Ferreira, Maurício Louzeiro, Leandro Prudente (2020). First order methods for optimization on Riemannian manifolds. in: Handbook of Variational Methods for Nonlinear Geometric Data, p.499-525.

Tommy Etling, Roland Herzog, Estefanía Loayza, Gerd Wachsmuth (2020). First and second order shape optimization based on restricted mesh deformations. SIAM Journal on Scientific Computing 42(2), p.A1200-A1225.

Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez (2020). Discrete total variation of the normal vector field as shape prior with applications in geometric inverse problems. Inverse Problems 36(5), p.054003.

Edvaldo Elias Batista, Glaydston Bento, Orizon Ferreira (2020). An extragradient-type algorithm for variational inequality on Hadamard manifolds. ESAIM: Control, Optimisation and Calculus of Variations 26, p.63.

Roland Herzog, Estefanía Loayza-Romero (2020). A manifold of planar triangular meshes with complete Riemannian metric.

Orizon Ferreira, Maurício Louzeiro, Leandro Prudente (2019). 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.

Glaydston Carvalho Bento, Sandro Dimy Barbosa Bitar, João Xavier Cruz Neto, Antoine Soubeyran, João Carlos Oliveira Souza (2019). 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.

Glaydston Carvalho Bento, Sandro Dimy Barbosa Bitar, João Xavier Cruz Neto, Paulo Roberto Oliveira, João Carlos Oliveira Souza (2019). Computing Riemannian center of mass on Hadamard manifolds. Journal of Optimization Theory and Applications 183(3), p.977-992.

Felix Ospald (2019). fibergen: An introductory tool for FFT-based material homogenization. Journal of Open Source Software 4(34), p.1027.

Juan Carlos Reyes, Estefanía Loayza-Romero (2019). Total generalized variation regularization in data assimilation for Burgers' equation. Inverse Problems and Imaging 13(4), p.755-786.

Ronny Bergmann, Roland Herzog, Estefanía Loayza-Romero, Kathrin Welker (2019). Shape optimization: what to do first, optimize or discretize?. in: Proceedings in Applied Mathematics and Mechanics 19(1).

Roland Herzog, Dorothee Knees, Christian Meyer, Michael Sievers, Ailyn Stötzner, Stephanie Thomas (2019). Rate-independent systems and their viscous regularizations: analysis, simulation and optimal control. in: Non-Smooth and Complementarity-Based Distributed Parameter Systems, International Series of Numerical Mathematics.

Tommy Etling, Roland Herzog, Martin Siebenborn (2019). Optimum experimental design for interface identification problems. SIAM Journal on Scientific Computing 41(6), p.A3498-A3523.

Martin Stoll, Max Winkler (2019). Optimization of a partial differential equation on a complex network.

M. Sajjad Edalatzadeh, Dante Kalise, Kirsten A. Morris, Kevin Sturm (2019). Optimal actuator design for vibration control based on LQR performance and shape calculus.

Robert Dietze, Niels Goldberg, Roland Herzog, Susann Hannusch, Michael Hofmann, Jörn Ihlemann, Lothar Kroll, Arnd Meyer, Felix Ospald, Edgar Peretzki, Gudula Rünger, Hansjörg Schmidt, Norbert Schramm, Rolf Springer, Martin Stockmann, Lars Ulke-Winter (2019). Modellierung, integrative Simulation und Optimierung. in: Technologiefusion für multifunktionale Leichtbaustrukturen: Ressourceneffizienz durch die Schlüsseltechnologie ``Leichtbau'', p.577-645.

Ronny Bergmann, Roland Herzog (2019). Intrinsic formulation of KKT conditions and constraint qualifications on smooth manifolds. SIAM Journal on Optimization 29(4), p.2423-2444.

Roland Herzog, Ailyn Stötzner (2019). Hadamard differentiability of the solution map in thermoviscoplasticity. Pure and Applied Functional Analysis 4(2), p.271-295.

Orizon Ferreira, Maurício Louzeiro, Leandro Prudente (2019). Gradient method for optimization on Riemannian manifolds with lower bounded curvature. SIAM Journal on Optimization 29(4), p.2517-2541.

Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez (2019). Geometry processing problems using the total variation of the normal vector field. in: Proceedings in Applied Mathematics and Mechanics 19(1).

Johannes Pfefferer, Max Winkler (2019). Finite element error estimates for normal derivatives on boundary concentrated meshes. SIAM Journal on Numerical Analysis 57(5), p.2043-2073.

Roland Herzog, John W. Pearson, Martin Stoll (2019). Fast iterative solvers for an optimal transport problem. Advances in Computational Mathematics 45(2), p.495-517.

Max Winkler (2019). Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization. Numerische Mathematik.

Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez, Gerd Wachsmuth (2019). Discrete total variation with finite elements and applications to imaging. Journal of Mathematical Imaging and Vision 61(4), p.411-431.

Constantin Christof, Gerd Wachsmuth (2019). Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators. Applied Mathematics & Optimization 81(1), p.23-62.

Caroline Geiersbach, Estefanía Loayza, Kathrin Welker (2019). Computational aspects for interface identification problems with stochastic modelling.

Peter Benner, Roland Herzog, Norman Lang, Ilka Riedel, Jens Saak (2019). Comparison of model order reduction methods for optimal sensor placement for thermo-elastic models. Engineering Optimization 51(3), p.465-483.

Gerd Wachsmuth (2019). A guided tour of polyhedric sets. Journal of Convex Analysis 26(1), p.153-188.

Thomas Apel, Sergejs Rogovs, Johannes Pfefferer, Max Winkler (2018). Maximum norm error estimates for Neumann boundary value problems on graded meshes. IMA Journal of Numerical Analysis 40(1), p.474-497.

Felix Harder, Gerd Wachsmuth (2018). Optimality conditions for a class of inverse optimal control problems with partial differential equations. Optimization 68(2–3), p.615-643.

Felix Harder, Gerd Wachsmuth (2018). The limiting normal cone of a complementarity set in Sobolev spaces. Optimization, p.1-25.

Jonathan Köbler, Matti Schneider, Felix Ospald, Heiko Andrä, Ralf Müller (2018). Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts. Computational Mechanics 61(6), p.729-750.

Bernardo González Merino, Thomas Jahn, Alexandr Polyanskii, Gerd Wachsmuth (2018). Hunting for reduced polytopes. Discrete & Computational Geometry 60(3), p.801-808.

Constantin Christof, Georg Müller (2018). A note on the equivalence and the boundary behavior of a class of Sobolev capacities. GAMM-Mitteilungen 40(3), p.238-266.

Eduardo Casas, Daniel Wachsmuth, Gerd Wachsmuth (2018). Second-order analysis and numerical approximation for bang-bang bilinear control problems. SIAM Journal on Control and Optimization 56(6), p.4203-4227.

Gerd Wachsmuth (2018). Pointwise constraints in vector-valued Sobolev spaces. With applications in optimal control. Applied Mathematics & Optimization 77(3), p.463-497.

Tommy Etling, Roland Herzog (2018). Optimum experimental design by shape optimization of specimens in linear elasticity. SIAM Journal on Applied Mathematics 78(3), p.1553-1576.

Roland Herzog, Ilka Riedel, Dariusz Uciński (2018). 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.

Peter Benner, Roland Herzog, Norman Lang, Ilka Riedel, Jens Saak (2018). Optimal sensor placement based on model order reduction. in: Proceedings of the 1st Conference on Thermal Issues in Machine Tools, p.355-365.

Sven-Joachim Kimmerle, Matthias Gerdts, Roland Herzog (2018). 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.

Constantin Christof, Gerd Wachsmuth (2018). On the non-polyhedricity of sets with upper and lower bounds in dual spaces. GAMM-Mitteilungen 40(4), p.339-350.

Constantin Christof, Gerd Wachsmuth (2018). No-gap second-order conditions via a directional curvature functional. SIAM Journal on Optimization 28(3), p.2097-2130.

Felix Harder (2018). Legendre forms in reflexive Banach spaces. Zeitschrift für Analysis und ihre Anwendungen 37(4), p.377-388.

Roland Herzog, Kirk Soodhalter (2018). Iterative solution of optimality systems in optimal control. in: Oberwolfach Reports 14(1), p.185-186.

Jan Blechschmidt, Roland Herzog (2018). Improving policies for Hamilton-Jacobi-Bellman equations by postprocessing. in: Hamilton-Jacobi-Bellman Equations, Radon Series on Computational and Applied Mathematics 21, p.25-42.

Felix Harder, Gerd Wachsmuth (2018). Comparison of optimality systems for the optimal control of the obstacle problem. GAMM-Mitteilungen 40(4), p.312-338.

Marc Herrmann, Roland Herzog, Heiko Kröner, Stephan Schmidt, José Vidal-Núñez (2018). Analysis and an interior point approach for TV image reconstruction problems on smooth surfaces. SIAM Journal on Imaging Sciences 11(2), p.889-922.

Sven-Joachim Kimmerle, Matthias Gerdts, Roland Herzog (2018). An optimal control problem for a rotating elastic crane-trolley-load system. IFAC-PapersOnLine 51(2), p.272-277.

Ronny Bergmann, Pierre-Yves Gousenbourger (2018). A variational model for data fitting on manifolds by minimizing the acceleration of a Bézier curve. Frontiers in Applied Mathematics and Statistics 4.

Felix Ospald, Roland Herzog (2017). Topology optimization for injection molding of short fiber-reinforced plastics. in: Proceedings in Applied Mathematics and Mechanics 17(1), p.337-338.

Patrick Mehlitz, Gerd Wachsmuth (2017). 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.

Felix Ospald, Roland Herzog (2017). SIMP based topology optimization for injection molding of SFRPs. in: Advances in Structural and Multidisciplinary Optimization, p.850-861.

Jean Pierre Bergmann, Martin Bielenin, Roland A. Herzog, Jörg Hildebrand, Ilka Riedel, Klaus Schricker, Carsten Trunk, Karl Worthmann (2017). Prevention of solidification cracking during pulsed laser beam welding. in: Proceedings in Applied Mathematics and Mechanics 17(1), p.405-406.

Niels Goldberg, Felix Ospald, Matti Schneider (2017). A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites. Computational Mechanics 60(4), p.595-611.

Eduardo Casas, Daniel Wachsmuth, Gerd Wachsmuth (2017). Sufficient second-order conditions for bang-bang control problems. SIAM Journal on Control and Optimization 55(5), p.3066-3090.

Gerd Wachsmuth (2017). Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricity. Set-Valued and Variational Analysis 25(1), p.133-175.

Christopher Schneider, Gerd Wachsmuth (2017). Regularization and discretization error estimates for optimal control of ODEs with group sparsity. ESAIM: Control, Optimisation and Calculus of Variations.

Roland Herzog, Felix Ospald (2017). Parameter identification for short fiber-reinforced plastics using optimal experimental design. International Journal for Numerical Methods in Engineering 110(8), p.703-725.

Roland Herzog, Ilka Riedel (2017). Optimale Sensorplatzierung und Online-Zustands- und Parameter-Identifikation. in: Proceedings of the 5th Colloquium of SFB/Transregio 96.

Juri Merger, Alfio Borzì, Roland Herzog (2017). Optimal control of a system of reaction-diffusion equations modeling the wine fermentation process. Optimal Control Applications and Methods 38(1), p.112-132.

Ulisse Stefanelli, Daniel Wachsmuth, Gerd Wachsmuth (2017). Optimal control of a rate-independent evolution equation via viscous regularization. Discrete and Continuous Dynamical Systems - Series S 10(6), p.1467-1485.

Georg Müller, Anton Schiela (2017). On the control of time discretized dynamic contact problems. Computational Optimization and Applications 68(2), p.243-287.

Arnd Rösch, Gerd Wachsmuth (2017). Mass lumping for the optimal control of elliptic partial differential equations. SIAM Journal on Numerical Analysis 55(3), p.1412-1436.

Roland Herzog, Christian Meyer, Ailyn Stötzner (2017). Existence of solutions of a thermoviscoplastic model and associated optimal control problems. Nonlinear Analysis: Real World Applications 35, p.75-101.

Gerd Wachsmuth (2017). Conforming approximation of convex functions with the finite element method. Numerische Mathematik 137(3), p.741-772.

Eduardo Casas, Roland Herzog, Gerd Wachsmuth (2017). Analysis of spatio-temporally sparse optimal control problems of semilinear parabolic equations. ESAIM: Control, Optimisation and Calculus of Variations 23(1), p.263-295.

Roland Herzog, Kirk Soodhalter (2017). A modified implementation of MINRES to monitor residual subvector norms for block systems. SIAM Journal on Scientific Computing 39(6), p.A2645-A2663.

Roland Herzog, Winnifried Wollner (2017). A conjugate direction method for linear systems in Banach spaces. Journal of Inverse and Ill-Posed Problems 25(5), p.553-572.

Patrick Mehlitz, Gerd Wachsmuth (2016). Weak and strong stationarity in generalized bilevel programming and bilevel optimal control. Optimization 65(5), p.907-935.

Gerd Wachsmuth (2016). Towards M-stationarity for optimal control of the obstacle problem with control constraints. SIAM Journal on Control and Optimization 54(2), p.964-986.

Patrick Mehlitz, Gerd Wachsmuth (2016). The limiting normal cone to pointwise defined sets in Lebesgue spaces. Set-Valued and Variational Analysis, p.1-19.

Janine Glänzel, Roland Herzog, Steffen Ihlenfeldt, Arnd Meyer, Roman Unger (2016). Simulation-based correction approach for thermo-elastic workpiece deformations during milling process. in: Proceedings of the 7th HPC 2016 - CIRP Conference on High Performance Cutting 46, p.103-106.

Roland Herzog, Susann Mach (2016). Preconditioned solution of state gradient constrained elliptic optimal control problems. SIAM Journal on Numerical Analysis 54(2), p.688-718.

Roland Herzog, Ilka Riedel, Bernd Kauschinger, Steffen Schroeder (2016). Parameteridentifikation in thermo-elastischen Systemen. in: Proceedings of the 4th Colloquium of SFB/Transregio 96, p.55-82.

Felix Ospald, Roland Herzog (2016). Optimal experimental design to identify the average stress-strain response in short fiber-reinforced plastics. in: Proceedings in Applied Mathematics and Mechanics 16(1), p.673-674.

Andreas Günnel, Roland Herzog (2016). Optimal control problems in finite strain elasticity by inner pressure and fiber tension. Frontiers in Applied Mathematics and Statistics 2(4).

Juan Carlos Reyes, Roland Herzog, Christian Meyer (2016). Optimal control of static elastoplasticity in primal formulation. SIAM Journal on Control and Optimization 54(6), p.3016-3039.

Gerd Wachsmuth (2016). Optimal control of quasistatic plasticity with linear kinematic hardening III: optimality conditions. Zeitschrift für Analysis und ihre Anwendungen 35(1), p.81-118.

Matthias Kabel, Andreas Fink, Felix Ospald, Matti Schneider (2016). Nonlinear composite voxels and FFT-based homogenization. in: ECCOMAS.

Daniel Wachsmuth, Gerd Wachsmuth (2016). How not to discretize the control. Proceedings in Applied Mathematics and Mechanics 16(1), p.793-794.

Matti Schneider, Felix Ospald, Matthias Kabel (2016). Computational homogenization of elasticity on a staggered grid. International Journal for Numerical Methods in Engineering 105(9), p.693-720.

Christian Naumann, Ilka Riedel, Steffen Ihlenfeldt, Ulrich Priber (2016). Characteristic diagram based correction algorithms for the thermo-elastic deformation of machine tools. in: Procedia CIRP 41, p.801-805.

René Schneider, Gerd Wachsmuth (2016). A-posteriori error estimation for control-constrained, linear-quadratic optimal control problems. SIAM Journal on Numerical Analysis 54(2), p.1169-1192.

Matti Schneider, Felix Ospald, Matthias Kabel (2016). 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.

Sophia Frankeser, Sebastian Hiller, Gerd Wachsmuth, Josef Lutz (2015). Using the on-state-V$_{be,sat}$-voltage for temperature estimation of SiC-BJTs during normal operation. in: , p.132-139.

Roland Herzog, Ekkehard Sachs (2015). Superlinear convergence of Krylov subspace methods for self-adjoint problems in Hilbert space. SIAM Journal on Numerical Analysis 53(3), p.1304-1324.

Roland Herzog, Ilka Riedel (2015). Sequentially optimal sensor placement in thermoelastic models for real time applications. Optimization and Engineering 16(4), p.737-766.

Gerd Wachsmuth (2015). Optimal control of quasistatic plasticity with linear kinematic hardening II: regularization and differentiability. Zeitschrift für Analysis und ihre Anwendungen 34(4), p.391-418.

Gerd Wachsmuth (2015). Mathematical programs with complementarity constraints in Banach spaces. Journal of Optimization Theory and Applications 166(2), p.480-507.

Roland Herzog, Georg Stadler, Gerd Wachsmuth (2015). Erratum: directional sparsity in optimal control of partial differential equations. SIAM Journal on Control and Optimization 53(4), p.2722-2723.

Susann Hannusch, Michael Herzog, Jörn Ihlemann, Lothar Kroll, Arnd Meyer, Felix Ospald, Gudula Rünger, Rolf Springer, Martin Stockmann, Lars Ulke-Winter (2015). Efficient simulation, optimization, and validation of lightweight structures. in: Proceedings of the 2nd International MERGE Technologies Conference for Lightweight Structures (IMTC 2015), p.219-227.

Christian Naumann, Ilka Riedel, Ulrich Priber, Roland Herzog (2015). Correction algorithms and high-dimensional characteristic diagrams. in: Thermo-Energetic Design of Machine Tools, Lecture Notes in Production Engineering, p.159-174.

Matti Schneider, Felix Ospald, Matthias Kabel (2015). Computational homogenization of elasticity at large deformations on a staggered grid. in: Conference Proceedings of the YIC GACM 2015, p.178-181.

Roland Herzog, Johannes Obermeier, Gerd Wachsmuth (2015). Annular and sectorial sparsity in optimal control of elliptic equations. Computational Optimization and Applications 62(1), p.157-180.

René Schneider, Gerd Wachsmuth (2015). Achieving optimal convergence order for FEM in control constrained optimal control problems. Proceedings in Applied Mathematics and Mechanics 15(1), p.731-734.

Stefan Takacs (2014). Using cylindrical algebraic decomposition and local Fourier analysis to study numerical methods: two examples. in: 16th International Symposium on Symbolic and Numeric Algorithms for Scientific Computing, p.42-49.

Michael Hofmann, Felix Ospald, Hansjörg Schmidt, Rolf Springer (2014). Programming support for the flexible coupling of distributed software components for scientific simulations. in: Software Engineering and Applications (ICSOFT-EA), 2014 9th International Conference on, p.506-511.

Gerd Wachsmuth (2014). The numerical solution of Newton's problem of least resistance. Mathematical Programming 147(1–2), p.331-350.

Gerd Wachsmuth (2014). Strong stationarity for optimal control of the obstacle problem with control constraints. SIAM Journal on Optimization 24(4), p.1914-1932.

Roland Herzog, Oliver Rheinbach (2014). Scalability of a FETI-DP method for optimal control problems. in: Proceedings in Applied Mathematics and Mechanics 14(1), p.837-838.

Roland Herzog, Arnd Rösch, Stefan Ulbrich, Winnifried Wollner (2014). OPTPDE: a collection of problems in PDE-constrained optimization. in: Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, p.539-543.

Andreas Günnel, Roland Herzog (2014). Optimal control of large deformation elasticity by fiber tension. in: Proceedings in Applied Mathematics and Mechanics 14(1), p.879-880.

Roland Herzog, Christian Meyer, Gerd Wachsmuth (2014). Optimal control of elastoplastic processes: analysis, algorithms, numerical analysis and applications. in: Trends in PDE Constrained Optimization, International Series of Numerical Mathematics, p.27-41.

Daniel Wachsmuth, Gerd Wachsmuth (2014). 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.

Felix Ospald (2014). Numerical simulation of injection molding using OpenFOAM. in: Proceedings in Applied Mathematics and Mechanics 14(1), p.673-674.

Roland Herzog, Oliver Rheinbach (2014). FETI-DP methods for optimal control problems. in: Domain Decomposition Methods in Science and Engineering XXI, Lecture Notes in Computational Science and Engineering, p.337-344.

Gerd Wachsmuth (2014). Differentiability of implicit functions: beyond the implicit function theorem. Journal of Mathematical Analysis and Applications 414(1), p.259-272.

Roland Herzog, Ilka Riedel (2014). Comparison of two suboptimal sensor placement strategies in thermo-elastic models. in: Proceedings in Applied Mathematics and Mechanics 14(1), p.881-882.

Andreas Günnel, Roland Herzog, Ekkehard Sachs (2014). 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.

Gerd Wachsmuth, Michael Lätzer, Erhard Leidich (2013). Analytical computation of multiple interference fits under elasto-plastic deformations. Zeitschrift für Angewandte Mathematik und Mechanik 94(12), p.1058-1064.

Roland Herzog, Karl Kunisch, Jörn Sass (2013). Primal-dual methods for the computation of trading regions under proportional transaction costs. Mathematical Methods of Operations Research 77(1), p.101-130.

Gerd Wachsmuth (2013). On LICQ and the uniqueness of Lagrange multipliers. Operations Research Letters 41(1), p.78-80.

Daniel Wachsmuth, Gerd Wachsmuth (2013). Necessary conditions for convergence rates of regularizations of optimal control problems. in: System Modeling and Optimization, IFIP Advances in Information and Communication Technology 391, p.145-154.

Roland Herzog, Christian Meyer, Gerd Wachsmuth (2013). B- and strong stationarity for optimal control of static plasticity with hardening. SIAM Journal on Optimization 23(1), p.321-352.

Roland Herzog, Frank Schmidt (2012). Weak lower semi-continuity of the optimal value function and applications to worst-case robust optimal control problems. Optimization 61, p.685-697.

Eduardo Casas, Roland Herzog, Gerd Wachsmuth (2012). Optimality conditions and error analysis of semilinear elliptic control problems with $L^1$ cost functional. SIAM Journal on Optimization 22(3), p.795-820.

Roland Herzog, Christian Meyer, Gerd Wachsmuth (2012). Optimale Steuerung in der Elastoplastizität. GAMM-Rundbrief(2), p.16-20.

Gerd Wachsmuth (2012). 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.

Martin Bernauer, Roland Herzog (2012). Implementation of an X-FEM solver for the classical two-phase Stefan problem. Journal of Scientific Computing 52(2), p.271-293.

Roland Herzog, Georg Stadler, Gerd Wachsmuth (2012). Directional sparsity in optimal control of partial differential equations. SIAM Journal on Control and Optimization 50(2), p.943-963.

Roland Herzog, Christian Meyer, Gerd Wachsmuth (2012). C-stationarity for optimal control of static plasticity with linear kinematic hardening. SIAM Journal on Control and Optimization 50(5), p.3052-3082.

Eduardo Casas, Roland Herzog, Gerd Wachsmuth (2012). Approximation of sparse controls in semilinear equations by piecewise linear functions. Numerische Mathematik 122(4), p.645-669.

Eduardo Casas, Roland Herzog, Gerd Wachsmuth (2012). Approximation of sparse controls in semilinear elliptic equations. in: Large-Scale Scientific Computing 7116, p.16-27.

Daniel Wachsmuth, Gerd Wachsmuth (2011). Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints. Control and Cybernetics 40(4), p.1125-1158.

Martin Bernauer, Roland Herzog (2011). Optimal control of the classical two-phase Stefan problem in level set formulation. SIAM Journal on Scientific Computing 33(1), p.342-363.

Roland Herzog, Christian Meyer (2011). Optimal control of static plasticity with linear kinematic hardening. Journal of Applied Mathematics and Mechanics 91(10), p.777-794.

Roland Herzog, Christian Meyer, Gerd Wachsmuth (2011). 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.

Roland Herzog, Christian Meyer, Gerd Wachsmuth (2011). Existence and regularity of the plastic multiplier in static and quasistatic plasticity. GAMM Reports 34(1), p.39-44.

Gerd Wachsmuth, Daniel Wachsmuth (2011). Convergence and regularization results for optimal control problems with sparsity functional. ESAIM: Control, Optimisation and Calculus of Variations 17(3), p.858-886.

Roland Herzog, Ekkehard Sachs (2010). 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.

Martin Bernauer, Roland Herzog, Karl Kunisch (2010). Optimal control of the two-phase Stefan problem in level set formulation. in: Oberwolfach Reports, p.261.

Roland Griesse, Nataliya Metla, Arnd Rösch (2010). Local quadratic convergence of SQP for elliptic optimal control problems with mixed control-state constraints. Control and Cybernetics 39(3), p.717-738.

Walter Alt, Roland Griesse, Nataliya Metla, Arnd Rösch (2010). Lipschitz stability for elliptic optimal control problems with mixed control-state constraints. Optimization 59(6), p.833-849.

Roland Herzog, Karl Kunisch (2010). Algorithms for PDE-constrained optimization. GAMM Reports 33(2), p.163-176.

Roland Griesse, Daniel Wachsmuth (2009). 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.

Roland Griesse, Amnon J. Meir (2009). Modeling of a magnetohydrodynamics free surface problem arising in Czochralski crystal growth. Mathematical and Computer Modelling of Dynamical Systems 15(2), p.163-175.

Roland Griesse, Karl Kunisch (2009). A semismooth Newton method for solving elliptic equations with gradient constraints. ESAIM M2AN. Mathematical Modelling and Numerical Analysis 43(2), p.209-238.

Martin K. Bernauer, Roland Griesse (2009). A robustification approach in unconstrained quadratic optimization. Mathematical Programming Series A 128(1–2), p.231-252.

Roland Griesse, Thomas Grund, Daniel Wachsmuth (2008). Update strategies for perturbed nonsmooth equations. Optimization Methods and Software 23(3), p.321-343.

Juan Carlos Reyes, Roland Griesse (2008). State-constrained optimal control of the three-dimensional stationary Navier-Stokes equations. Journal of Mathematical Analysis and Applications 343(1), p.257-272.

Roland Griesse, Martin Weiser (2008). On the interplay between interior point approximation and parametric sensitivities in optimal control. Journal of Mathematical Analysis and Applications 337(2), p.771-793.

Roland Griesse, Nataliya Metla, Arnd Rösch (2008). 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.

Roland Griesse, Dirk Lorenz (2008). A semismooth Newton method for Tikhonov functionals with sparsity constraints. Inverse Problems 24(3), p.035007 (19pp).

Roland Griesse, Karl Kunisch (2008). A semismooth Newton method for solving elliptic equations with gradient constraints. in: Oberwolfach Reports, p.603-605.

Kerstin Brandes, Roland Griesse (2007). Quantitative stability analysis of optimal solutions in PDE-constrained optimization. Journal of Computational and Applied Mathematics 206(2), p.908-926.

Roland Griesse, Boris Vexler (2007). Numerical sensitivity analysis for the quantity of interest in PDE-constrained optimization. SIAM Journal on Scientific Computing 29(1), p.22-48.

Roland Griesse, Amnon J. Meir, Karl Kunisch (2007). Control issues in magnetohydrodynamics. in: Oberwolfach Reports, p.447-486.

Christof Büskens, Roland Griesse (2006). 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.

Roland Griesse, Stefan Volkwein (2006). Parametric sensitivity analysis for optimal boundary control of a 3D reaction-diffusion system. in: Large-Scale Nonlinear Optimization 83, p.127-149.

Roland Griesse, Karl Kunisch (2006). Optimal control for a stationary MHD system in velocity--current formulation. SIAM Journal on Control and Optimization 45(5), p.1822-1845.

Roland Griesse, Amnon J. Meir (2006). Modeling of an MHD free surface problem arising in CZ crystal growth. in: 5th IMACS Symposium on Mathematical Modelling—5th MATHMOD Vienna.

Roland Griesse (2006). Lipschitz stability of solutions to some state-constrained elliptic optimal control problems. Journal of Analysis and its Applications 25, p.435-455.

Alfio Borzì, Roland Griesse (2006). Distributed optimal control of Lambda--Omega systems. Journal of Numerical Mathematics 14(1), p.17-40.

Roland Griesse, Andrea Walther (2005). Towards matrix-free AD-based preconditioning of KKT systems in PDE-constrained optimization. Proceedings in Applied Mathematics and Mechanics 5(1), p.47-50.

Roland Griesse, Karl Kunisch (2005). Optimal control in magnetohydrodynamics. in: Oberwolfach Reports, p.1011-1014.

Alfio Borzì, Roland Griesse (2005). 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.

Roland Griesse, Michael Hintermüller, Michael Hinze (2005). Differential stability of control constrained optimal control problems for the Navier-Stokes equations. Numerical Functional Analysis and Optimization 26(7–8), p.829-850.

Roland Griesse, Stefan Volkwein (2005). 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.

Roland Griesse, Andrea Walther (2004). Using AD-generated derivatives in optimal control of an industrial robot. in: Progress in Industrial Mathematics at ECMI 2002 5, p.127-132.

Roland Griesse (2004). 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.

Roland Griesse (2004). 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.

Roland Griesse, Andrea Walther (2004). Evaluating gradients in optimal control: continuous adjoints versus automatic differentiation. Journal of Optimization Theory and Applications 122(1), p.63-86.

Roland Griesse, Stefan Volkwein (2004). A semi-smooth Newton method for optimal boundary control of a nonlinear reaction-diffusion system. in: Proceedings of the Sixteenth International Symposium on Mathematical Theory of Networks and Systems (MTNS), Leuven, Belgium.

Roland Griesse, Andrea Walther (2003). Parametric sensitivity analysis for optimal control problems using automatic differentiation. Optimal Control Applications and Methods 24(6), p.297-314.

Roland Griesse (2003). A reduced SQP algorithm for the optimal control of semilinear parabolic equations. in: System Modeling and Optimization~XX, p.239-253.

Roland Griesse (2001). Some aspects for instantaneous boundary control of backward-facing step flow. Short Communications in Mathematics and Mechanics 81(Supplement 2), p.S251-S252.