×
Target groups Quicklinks
Recent Preprints Publications in Journals Markus Friedemann and Gerd WachsmuthA trust-region method for optimal control of ODEs with continuous-or-off controls and TV regularization Journal of Nonsmooth Analysis and Optimizaton , 6, 2026 DOI: 10.46298/jnsao-2026-16354 arXiv: 2508.10692 Gerd Wachsmuth and Daniel WalterNo-gap second-order conditions for minimization problems in spaces of measures ESAIM: Control, Optimisation and Calculus of Variations (COCV) , 32, p.37, 2026 DOI: 10.1051/cocv/2026011 arXiv: 2403.12001 Nicolas Borchard and Gerd WachsmuthCharacterization of Hilbertizable spaces via convex functions to appear in: Journal of Convex Analysis 2025 arXiv: 2506.04686 Amal Alphonse and Gerd WachsmuthSubdifferentials and penalty approximations of the obstacle problem SIAM Journal on Optimization (SIOPT) , 35(3), p.2017–2039, 2025 DOI: 10.1137/24m172202x arXiv: 2412.13029 Jonas Marko and Gerd WachsmuthVector-Valued Integer Optimal Control with TV Regularization: Optimality Conditions and Algorithmic Treatment ESAIM: Control, Optimisation and Calculus of Variations (COCV) , 31, p.51, 2025 DOI: 10.1051/cocv/2025037 arXiv: 2411.06856 Hiba Hmede, Luc Paquet and Gerd WachsmuthNo-gap second-order optimality conditions for additive manufacturing Mathematical Control and Related Fields , 17, p.45–73, 2026 DOI: 10.3934/mcrf.2025028 arXiv: 2410.18776 Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg and Gerd WachsmuthMinimal and maximal solution maps of elliptic QVIs: penalisation, Lipschitz stability, differentiability and optimal control Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications , 27(4), p.521–573, 2025 DOI: 10.4171/ifb/545 arXiv: 2312.13879 Nicolas Borchard and Gerd WachsmuthSecond-order conditions for spatio-temporally sparse optimal control via second subderivatives Journal of Nonsmooth Analysis and Optimizaton , 5, 2024 DOI: 10.46298/jnsao-2024-12604 arXiv: 2311.14538 Alberto De Marchi and Patrick MehlitzLocal properties and augmented Lagrangians in fully nonconvex composite optimization Journal of Nonsmooth Analysis and Optimizaton , 5, 2024 DOI: 10.46298/jnsao-2024-12235 arXiv: 2309.01980 Constantin Christof and Gerd WachsmuthEnergy Space Newton Differentiability for Solution Maps of Unilateral and Bilateral Obstacle Problems SIAM Journal on Control and Optimization (SICON) , 63(1), p.292-320, 2025 DOI: 10.1137/23m1597332 arXiv: 2308.15289 Christian Kanzow, Fabius Krämer, Patrick Mehlitz, Gerd Wachsmuth and Frank WernerVariational Poisson denoising via augmented Lagrangian methods ETNA - Electronic Transactions on Numerical Analysis , 63, p.33–62, 2025 DOI: 10.1553/etna_vol63s33 arXiv: 2304.06434 Gerd WachsmuthSlater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints Optimization , 74(5), p.1105-1123, 2024 DOI: 10.1080/02331934.2024.2328648 arXiv: 2212.11249 Gerd WachsmuthA convex, finite and lower semicontinuous function with empty subdifferential Journal of Convex Analysis , 32(3), p.877-882, 2025 arXiv: 2409.18650 Lateef O. Jolaoso, Patrick Mehlitz and Alain B. ZemkohoA fresh look at nonsmooth Levenberg-Marquardt methods with applications to bilevel optimization Optimization , p.1-48, 2024 2024 DOI: 10.1080/02331934.2024.2313688 arXiv: 2305.19870 Daniel Hoff and Patrick MehlitzNotes on the value function approach to multiobjective bilevel optimization Optimization , 73(10), p.3147-3183, 2024 DOI: 10.1080/02331934.2024.2323107 arXiv: 2303.15824 Simone Göttlich, Patrick Mehlitz and Thomas SchillingerInverse demand tracking in transportation networks Mathematical Methods of Operations Research , 2024 2024 DOI: 10.1007/s00186-024-00875-y arXiv: 2212.11560 Matúš Benko and Patrick Mehlitz On the directional asymptotic approach in optimization theoryMathematical Programming , p.1-79, 2024 2024 DOI: 10.1007/s10107-024-02089-w Alberto Domínguez Corella and Gerd WachsmuthStability and genericity of bang-bang controls in affine problems SIAM Journal on Control and Optimization (SICON) , 62(3), p.1669–1689, 2024 DOI: 10.1137/23m1586446 arXiv: 2307.05418 Marián Fabian, Alexander Y. Kruger and Patrick MehlitzFuzzy multiplier, sum and intersection rules in non-Lipschitzian settings: Decoupling approach revisited Journal of Mathematical Analysis and Applications (JMAA) , 532(2), p.39, 2024 DOI: 10.1016/j.jmaa.2023.127985 arXiv: 2305.08484 Xiaoxi Jia, Christian Kanzow and Patrick MehlitzConvergence analysis of the proximal gradient method in the presence of the Kurdyka-Łojasiewicz property without global Lipschitz assumptions SIAM Journal on Optimization (SIOPT) , 33(4), p.3038–3056, 2023 DOI: 10.1137/23m1548293 arXiv: 2301.05002 Gerd WachsmuthNon-existence of perturbed solutions under a second-order sufficient condition Examples and Counterexamples , 4, p.3, 2023 DOI: 10.1016/j.exco.2023.100122 arXiv: 2208.12115 Jonas Marko and Gerd WachsmuthInteger optimal control problems with total variation regularization: Optimality conditions and fast solution of subproblems ESAIM: Control, Optimisation and Calculus of Variations (COCV) , 29, p.30, 2023 DOI: 10.1051/cocv/2023065 arXiv: 2207.05503 Daniel Wachsmuth and Gerd WachsmuthA simple proof of the Baillon-Haddad theorem on open subsets of Hilbert spaces Journal of Convex Analysis , 30(4), p.1319-1328, 2023 arXiv: 2204.00282 Matúš Benko and Patrick MehlitzWhy second-order sufficient conditions are, in a way, easy - or - revisiting calculus for second subderivatives Journal of Convex Analysis , 30(2), p.541-589, 2023 arXiv: 2206.03918 Patrick MehlitzA simple proof of second-order sufficient optimality conditions in nonlinear semidefinite optimization Optimization Letters , 2023 2023 DOI: 10.1007/s11590-023-02031-7 arXiv: 2209.12209 Constantin Christof and Gerd WachsmuthSemismoothness for Solution Operators of Obstacle-Type Variational Inequalities with Applications in Optimal Control SIAM Journal on Control and Optimization (SICON) , 61(3), p.1162-1186, 2023 DOI: 10.1137/21m1467365 arXiv: 2112.12018 Markus Friedemann, Felix Harder and Gerd WachsmuthFinding global solutions of some inverse optimal control problems using penalization and semismooth Newton methods Journal of Global Optimization , 86(4), p.1025-1061, 2023 DOI: 10.1007/s10898-023-01288-7 arXiv: 2203.00325 Alberto De Marchi, Xiaoxi Jia, Christian Kanzow and Patrick MehlitzConstrained composite optimization and augmented Lagrangian methods Mathematical Programming , 2023 2023 DOI: 10.1007/s10107-022-01922-4 arXiv: 2203.05276 Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz and Gerd Wachsmuth An Augmented Lagrangian Method for Optimization Problems with Structured Geometric ConstraintsMathematical Programming , 199, p.1365-1415, 2023 DOI: 10.1007/s10107-022-01870-z Patrick Mehlitz Asymptotic regularity for Lipschitzian nonlinear optimization problems with applications to complementarity-constrained and bilevel programmingOptimization , 72, p.277-320, 2023 DOI: 10.1080/02331934.2022.2031190 Hedwig Keller, Sören Bartels and Gerd WachsmuthNumerical Approximation of Optimal Convex and Rotationally Symmetric Shapes for an Eigenvalue Problem arising in Optimal Insulation Computers & Mathematics with Applications , 119, p.327-339, 2022 DOI: 10.1016/j.camwa.2022.05.026 arXiv: 2111.03364 Preprint SPP1962-181 Ira Neitzel and Gerd WachsmuthFirst-order conditions for the optimal control of the obstacle problem with state constraints Pure and Applied Functional Analysis , 7(5), p.1881-1911, 2022 arXiv: 2012.15324 Preprint SPP1962-154 Constantin Christof and Gerd WachsmuthLipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-Variational Inequalities SIAM Journal on Control and Optimization (SICON) , 60(6), p.3430-3456, 2022 DOI: 10.1137/21M1419635 arXiv: 2105.05895 Preprint SPP1962-169 Christian Kanzow and Patrick MehlitzConvergence properties of monotone and nonmonotone proximal gradient methods revisited Journal of Optimization Theory and Applications (JOTA) , 195, p.624-646, 2022 DOI: 10.1007/s10957-022-02101-3 arXiv: 2112.01798 Daniel Wachsmuth and Gerd WachsmuthSecond-order conditions for non-uniformly convex integrands: quadratic growth in L¹ Journal of Nonsmooth Analysis and Optimizaton , 3, 2022 DOI: 10.46298/jnsao-2022-8733 arXiv: 2111.10238 Preprint SPP1962-184 Patrick Mehlitz and Gerd WachsmuthSubdifferentiation of nonconvex sparsity-promoting functionals on Lebesgue spaces SIAM Journal on Control and Optimization (SICON) , 60(3), p.1819-1839, 2022 DOI: 10.1137/21m1435173 arXiv: 2107.09340 Preprint SPP1962-173 Gerd WachsmuthFrom resolvents to generalized equations and quasi-variational inequalities: existence and differentiability Journal of Nonsmooth Analysis and Optimizaton , 3, 2022 DOI: 10.46298/jnsao-2022-8537 arXiv: 2109.13569 Preprint SPP1962-177 Gerd WachsmuthMaximal monotone operators with non-maximal graphical limit Examples and Counterexamples , 2, 2022 DOI: 10.1016/j.exco.2022.100073 arXiv: 2107.10055 Preprint SPP1962-174 Lev Lokutsievskiy, Gerd Wachsmuth and Mikhail ZelikinNon-optimality of conical parts for Newton's problem of minimal resistance in the class of convex bodies Calculus of Variations and Partial Differential Equations , 61(1), 2022 DOI: 10.1007/s00526-021-02118-y arXiv: 2009.12128 Preprint SPP1962-147 Alexander Y. Kruger and Patrick Mehlitz Optimality conditions, approximate stationarity, and applications - a story beyond LipschitznessESAIM: Control, Optimisation and Calculus of Variations (COCV) , 28, p.42, 2022 DOI: 10.1051/cocv/2022024 Felix Harder and Gerd WachsmuthM-stationarity for a class of MPCCs in Lebesgue spaces Journal of Mathematical Analysis and Applications (JMAA) , 512(2), p.1-28, 2022 DOI: 10.1016/j.jmaa.2022.126167 arXiv: 2110.11693 Preprint SPP1962-180 Matúš Benko and Patrick Mehlitz Calmness and Calculus: Two Basic PatternsSet-Valued and Variational Analysis (SVAA) , 30, p.81-117, 2022 DOI: 10.1007/s11228-021-00589-x Patrick Mehlitz and Leonid I. Minchenko R-regularity of set-valued mappings under the relaxed constant positive linear dependence constraint qualification with applications to parametric and bilevel optimizationSet-Valued and Variational Analysis (SVAA) , 30, p.179-205, 2022 DOI: 10.1007/s11228-021-00578-0 Christian Kanzow, Patrick Mehlitz and Daniel Steck Relaxation schemes for mathematical programs with switching constraintsOptimization Methods and Software , 36(6), p.1223-1258, 2021 DOI: 10.1080/10556788.2019.1663425 Felix HarderA new elementary proof for M-stationarity under MPCC-GCQ for mathematical programs with complementarity constraints Journal of Nonsmooth Analysis and Optimizaton , 2, 2021 DOI: 10.46298/jnsao-2021-6903 arXiv: 2011.04474 Preprint SPP1962-151 Matúš Benko and Patrick Mehlitz On implicit variables in optimization theoryJournal of Nonsmooth Analysis and Optimizaton , 2, 2021 DOI: 10.46298/jnsao-2021-7215 Felix Harder, Patrick Mehlitz and Gerd WachsmuthReformulation of the M-stationarity conditions as a system of discontinuous equations and its solution by a semismooth Newton method SIAM Journal on Optimization (SIOPT) , 31(2), p.1459-1488, 2021 DOI: 10.1137/20m1321413 arXiv: 2002.10124 Preprint SPP1962-135 Yu Deng, Patrick Mehlitz and Uwe Prüfert Coupled versus Decoupled Penalization of Control Complementarity ConstraintsESAIM: Control, Optimisation and Calculus of Variations (COCV) , 27, p.1-31, 2021 DOI: 10.1051/cocv/2021022 Tobias Geiger, Daniel Wachsmuth and Gerd Wachsmuth Optimal control of ODEs with state supremaMathematical Control and Related Fields , 11(3), p.555-578, 2021 DOI: 10.3934/mcrf.2021012 Patrick Mehlitz and Alain B. Zemkoho Sufficient optimality conditions in bilevel programmingMathematics of Operations Research , 46(4), p.1573-1598, 2021 DOI: 10.1287/moor.2021.1122 Patrick Mehlitz Asymptotic stationarity and regularity for nonsmooth optimization problemsJournal of Nonsmooth Analysis and Optimizaton , 1, p.6575, 2020 DOI: 10.46298/jnsao-2020-6575 Patrick Mehlitz, Leonid I. Minchenko and Alain B. Zemkoho A note on partial calmness for bilevel optimization problems with linearly structured lower levelOptimization Letters , 15, p.11277-1291, 2021 DOI: 10.1007/s11590-020-01636-6 Eike Börgens, Christian Kanzow, Patrick Mehlitz and Gerd WachsmuthNew Constraint Qualifications for Optimization Problems in Banach Spaces Based on Asymptotic KKT Conditions SIAM Journal on Optimization (SIOPT) , 30(4), p.2956-2982, 2020 DOI: 10.1137/19M1306804 arXiv: 1912.06531 Preprint SPP1962-128 Gerd WachsmuthNo-gap second-order conditions under n-polyhedric constraints and finitely many nonlinear constraints Journal of Convex Analysis , 27(2), p.733-751, 2020 arXiv: 1902.07750 Constantin Christof and Gerd WachsmuthOn Second-Order Optimality Conditions for Optimal Control Problems Governed by the Obstacle Problem Optimization , 70(10), p.2247-2287, 2021 DOI: 10.1080/02331934.2020.1778686 arXiv: 1906.09065 Preprint SPP1962-113 Patrick Mehlitz Stationarity conditions and constraint qualifications for mathematical programs with switching constraintsMathematical Programming , 181(1), p.149-186, 2020 DOI: 10.1007/s10107-019-01380-5 Gerd WachsmuthElliptic quasi-variational inequalities under a smallness assumption: Uniqueness, differential stability and optimal control Calculus of Variations and Partial Differential Equations , 59(2), 2020 DOI: 10.1007/s00526-020-01743-3 arXiv: 1909.02934 Preprint SPP1962-118 Tommy Etling, Roland Herzog, Estefanía Loayza and Gerd WachsmuthFirst and Second Order Shape Optimization based on Restricted Mesh Deformations SIAM Journal on Scientific Computing (SISC) , 42(2), p.A1200-A1225, 2020 DOI: 10.1137/19m1241465 arXiv: 1810.10313 Preprint SPP1962-088 Sören Bartels and Gerd WachsmuthNumerical approximation of optimal convex shapes SIAM Journal on Scientific Computing (SISC) , 42(2), p.A1226-A1244, 2020 DOI: 10.1137/19m1256853 arXiv: 1810.10735 Preprint SPP1962-089 Patrick Mehlitz A comparison of solution approaches for the numerical treatment of or-constrained optimization problemsComputational Optimization and Applications (COAP) , 76(1), p.233-275, 2020 DOI: 10.1007/s10589-020-00169-z Stephan Dempe and Patrick Mehlitz Semivectorial Bilevel Programming versus Scalar Bilevel ProgrammingOptimization , 69(4), p.657-679, 2020 DOI: 10.1080/02331934.2019.1625900 Christian Clason, Yu Deng, Patrick Mehlitz and Uwe Prüfert Optimal control problems with control complementarity constraintsOptimization Methods and Software , 35(2), p.142-170, 2020 DOI: 10.1080/10556788.2019.1604705 Patrick Mehlitz On the linear independence constraint qualification in disjunctive programmingOptimization , 69(10), p.2241-2277, 2020 DOI: 10.1080/02331934.2019.1679811 Yu Deng, Patrick Mehlitz and Uwe Prüfert On an optimal control problem with gradient constraintsOptimization , 69(3), p.519-551, 2020 DOI: 10.1080/02331934.2019.1604707 Stephan Dempe, Felix Harder, Patrick Mehlitz and Gerd WachsmuthSolving Inverse Optimal Control Problems via Value Functions to Global Optimality Journal of Global Optimization , 74(2), p.297-325, 2019 DOI: 10.1007/s10898-019-00758-1 Preprint SPP1962-066 Patrick Mehlitz On the sequential normal compactness condition and its restrictiveness in selected function spacesSet-Valued and Variational Analysis (SVAA) , 27, p.763-782, 2019 DOI: 10.1007/s11228-018-0475-6 Anne-Therese Rauls and Gerd Wachsmuth Generalized derivatives for the solution operator of the obstacle problemSet-Valued and Variational Analysis (SVAA) , 28(2), p.259-285, 2020 DOI: 10.1007/s11228-019-0506-y Constantin Christof and Gerd Wachsmuth Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution OperatorsApplied Mathematics & Optimization (AMO) , 81(1), p.23-62, 2020 DOI: 10.1007/s00245-018-09553-y Yu Deng, Patrick Mehlitz and Uwe Prüfert Optimal control in first-order Sobolev spaces with inequality constraintsComputational Optimization and Applications (COAP) , 72(3), p.797-826, 2019 DOI: 10.1007/s10589-018-0053-8 Francisco Benita and Patrick Mehlitz Solving optimal control problems with terminal complementarity constraints via Scholtes' relaxation schemeComputational Optimization and Applications (COAP) , 72(2), p.413-430, 2019 DOI: 10.1007/s10589-018-0050-y Francisco Benita and Patrick Mehlitz Optimal Control Problems with Terminal Complementarity ConstraintsSIAM Journal on Optimization (SIOPT) , 28(4), p.3079-3104, 2018 DOI: 10.1137/16M107637X Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez and Gerd Wachsmuth Discrete Total Variation with Finite Elements and Applications to ImagingJournal of Mathematical Imaging and Vision (JMIV) , 61(4), p.411-431, 2019 DOI: 10.1007/s10851-018-0852-7 Felix HarderLegendre Forms in Reflexive Banach Spaces Zeitschrift für Analysis und ihre Anwendungen (ZAA) , 37(4), p.377-388, 2018 DOI: 10.4171/zaa/1619 Preprint SPP1962-030 Eduardo Casas, Daniel Wachsmuth and Gerd WachsmuthSecond-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems SIAM Journal on Control and Optimization (SICON) , 56(6), p.4203-4227, 2018 DOI: 10.1137/17m1139953 arXiv: 1707.06880 Felix Harder and Gerd WachsmuthOptimality conditions for a class of inverse optimal control problems with partial differential equations Optimization , 68(2-3), p.615-643, 2018 DOI: 10.1080/02331934.2018.1495205 Preprint SPP1962-048 Felix Harder and Gerd WachsmuthThe limiting normal cone of a complementarity set in Sobolev spaces Optimization , 67(5), p.1579-1603, 2018 DOI: 10.1080/02331934.2018.1484467 Preprint SPP1962-023 Constantin Christof and Gerd WachsmuthNo-Gap Second-Order Conditions via a Directional Curvature Functional SIAM Journal on Optimization (SIOPT) , 28(3), p.2097-2130, 2018 DOI: 10.1137/17M1140418 arXiv: 1707.07579 Preprint SPP1962-026 Constantin Christof and Gerd WachsmuthOn the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces GAMM Reports , 40(4), p.339-350, 2018 DOI: 10.1002/gamm.201740005 arXiv: 1711.02588 Preprint SPP1962-031 Felix Harder and Gerd WachsmuthComparison of Optimality Systems for the Optimal Control of the Obstacle Problem GAMM Reports , 40(4), p.312-338, 2018 DOI: 10.1002/gamm.201740004 Preprint SPP1962-029 Gerd WachsmuthA guided tour of polyhedric sets Journal of Convex Analysis , 26(1), p.153-188, 2019 Bernardo González Merino, Thomas Jahn, Alexander Polyanskii and Gerd WachsmuthHunting for reduced polytopes Discrete & Computational Geometry , 60(3), p.801-808, 2018 DOI: 10.1007/s00454-018-9982-3 Code: Hunting for reduced polytopes: Evaluating your catches (DOI: 10.5281/zenodo.58491 ) arXiv: 1701.08629 Patrick Mehlitz and Gerd WachsmuthThe weak sequential closure of decomposable sets in Lebesgue spaces and its application to variational geometry Set-Valued and Variational Analysis (SVAA) , 27(1), p.265-294, 2019 DOI: 10.1007/s11228-017-0464-1 Preprint SPP1962-016 Eduardo Casas, Daniel Wachsmuth and Gerd Wachsmuth Sufficient Second-Order Conditions for Bang-Bang Control ProblemsSIAM Journal on Control and Optimization (SICON) , 55(5), p.3066-3090, 2017 DOI: 10.1137/16M1099674 Christopher Schneider and Gerd Wachsmuth Regularization and discretization error estimates for optimal control of ODEs with group sparsityESAIM: Control, Optimisation and Calculus of Variations (COCV) , 24(2), p.811-834, 2018 DOI: 10.1051/cocv/2017049 Gerd Wachsmuth Conforming Approximation of Convex Functions with the Finite Element MethodNumerische Mathematik , 137(3), p.741-772, 2017 DOI: 10.1007/s00211-017-0884-8 Arnd Rösch and Gerd Wachsmuth Mass lumping for the optimal control of elliptic partial differential equationsSIAM Journal on Numerical Analysis (SINUM) , 55(3), p.1412-1436, 2017 DOI: 10.1137/16M1074473 Ulisse Stefanelli, Daniel Wachsmuth and Gerd WachsmuthOptimal control of a rate-independent evolution equation via viscous regularization Discrete and Continuous Dynamical Systems - Series S (DCDS-S) , 10(6), p.1467-1485, 2017 DOI: 10.3934/dcdss.2017076 Preprint SPP1962-001 Patrick Mehlitz and Gerd WachsmuthThe limiting normal cone to pointwise defined sets in Lebesgue spaces Set-Valued and Variational Analysis (SVAA) , 26(3), p.449-467, 2018 DOI: 10.1007/s11228-016-0393-4 Preprint SPP1962-004 Gerd Wachsmuth Pointwise Constraints in Vector-Valued Sobolev Spaces. With Applications in Optimal ControlApplied Mathematics & Optimization (AMO) , 77(3), p.463-497, 2016 DOI: 10.1007/s00245-016-9381-1 Gerd Wachsmuth Strong stationarity for optimization problems with complementarity constraints in absence of polyhedricitySet-Valued and Variational Analysis (SVAA) , 25(1), p.133-175, 2017 DOI: 10.1007/s11228-016-0370-y Gerd Wachsmuth Towards M-stationarity for optimal control of the obstacle problem with control constraintsSIAM Journal on Control and Optimization (SICON) , 54(2), p.964-986, 2016 DOI: 10.1137/140980582 René Schneider and Gerd Wachsmuth A-posteriori error estimation for control-constrained, linear-quadratic optimal control problemsSIAM Journal on Numerical Analysis (SINUM) , 54(2), p.1169-1192, 2016 DOI: 10.1137/15M1020460 Patrick Mehlitz and Gerd Wachsmuth Weak and strong stationarity in generalized bilevel programming and bilevel optimal controlOptimization , 65(5), p.907-935, 2016 DOI: 10.1080/02331934.2015.1122007 Eduardo Casas, Roland Herzog and Gerd Wachsmuth Analysis of Spatio-Temporally Sparse Optimal Control Problems of Semilinear Parabolic EquationsESAIM: Control, Optimisation and Calculus of Variations (COCV) , 23(1), p.263-295, 2017 DOI: 10.1051/cocv/2015048 Gerd Wachsmuth Optimal Control of Quasistatic Plasticity with Linear Kinematic Hardening II: Regularization and DifferentiabilityZeitschrift für Analysis und ihre Anwendungen (ZAA) , 34(4), p.391-418, 2015 DOI: 10.4171/ZAA/1546 Gerd Wachsmuth Optimal Control of Quasistatic Plasticity with Linear Kinematic Hardening III: Optimality ConditionsZeitschrift für Analysis und ihre Anwendungen (ZAA) , 35(1), p.81-118, 2016 DOI: 10.4171/ZAA/1556 Gerd Wachsmuth Mathematical Programs with Complementarity Constraints in Banach SpacesJournal of Optimization Theory and Applications (JOTA) , 166(2), p.480-507, 2015 DOI: 10.1007/s10957-014-0695-3 Roland Herzog, Johannes Obermeier and Gerd Wachsmuth Annular and Sectorial Sparsity in Optimal Control of Elliptic EquationsComputational Optimization and Applications (COAP) , 62(1), p.157-180, 2015 DOI: 10.1007/s10589-014-9721-5 Gerd Wachsmuth Strong Stationarity for Optimal Control of the Obstacle Problem with Control ConstraintsSIAM Journal on Optimization (SIOPT) , 24(4), p.1914-1932, 2014 DOI: 10.1137/130925827 Daniel Wachsmuth and Gerd WachsmuthOptimal 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 Gerd Wachsmuth Differentiability of implicit functions: Beyond the implicit function theoremJournal of Mathematical Analysis and Applications (JMAA) , 414(1), p.259-272, 2014 DOI: 10.1016/j.jmaa.2014.01.007 Gerd Wachsmuth The Numerical Solution of Newton's Problem of Least ResistanceMathematical Programming , 147(1-2), p.331-350, 2014 DOI: 10.1007/s10107-014-0756-2 Gerd Wachsmuth, Michael Lätzer and Erhard Leidich Analytical computation of multiple interference fits under elasto-plastic deformationsZeitschrift für angewandte Mathematik und Mechanik (ZAMM) , 94(12), p.1058-1064, 2013 DOI: 10.1002/zamm.201300041 Gerd Wachsmuth On LICQ and the uniqueness of Lagrange multipliersOperations Research Letters , 41(1), p.78-80, 2013 DOI: 10.1016/j.orl.2012.11.009 Roland Herzog, Christian Meyer and Gerd Wachsmuth B- and Strong Stationarity for Optimal Control of Static Plasticity with HardeningSIAM Journal on Optimization (SIOPT) , 23(1), p.321-352, 2013 DOI: 10.1137/110821147 Roland Herzog, Christian Meyer and Gerd Wachsmuth C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic HardeningSIAM Journal on Control and Optimization (SICON) , 50(5), p.3052-3082, 2012 DOI: 10.1137/100809325 Gerd Wachsmuth Optimal Control of Quasistatic Plasticity with Linear Kinematic Hardening, Part I: Existence and Discretization in TimeSIAM Journal on Control and Optimization (SICON) , 50(5), p.2836-2861, 2012 DOI: 10.1137/110839187 Eduardo Casas, Roland Herzog and Gerd Wachsmuth Approximation of Sparse Controls in Semilinear Equations by Piecewise Linear FunctionsNumerische Mathematik , 122(4), p.645-669, 2012 DOI: 10.1007/s00211-012-0475-7 Eduardo Casas, Roland Herzog and Gerd Wachsmuth Optimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with L1 Cost FunctionalSIAM Journal on Optimization (SIOPT) , 22(3), p.795-820, 2012 DOI: 10.1137/110834366 Daniel Wachsmuth and Gerd Wachsmuth Regularization error estimates and discrepancy principle for optimal control problems with inequality constraintsControl and Cybernetics , 40(4), p.1125-1158, 2011 Roland Herzog, Georg Stadler and Gerd Wachsmuth Directional Sparsity in Optimal Control of Partial Differential EquationsSIAM Journal on Control and Optimization (SICON) , 50(2), p.943-963, 2012 DOI: 10.1137/100815037 Erratum: Directional Sparsity in Optimal Control of Partial Differential Equations DOI: 10.1137/15M102544X Roland Herzog, Christian Meyer and Gerd Wachsmuth Integrability of Displacement and Stresses in Linear and Nonlinear Elasticity with Mixed Boundary ConditionsJournal of Mathematical Analysis and Applications (JMAA) , 382(2), p.802-813, 2011 DOI: 10.1016/j.jmaa.2011.04.074 Roland Herzog, Christian Meyer and Gerd Wachsmuth Existence and Regularity of the Plastic Multiplier in Static and Quasistatic PlasticityGAMM Reports , 34(1), p.39-44, 2011 DOI: 10.1002/gamm.201110006 Gerd Wachsmuth and Daniel Wachsmuth Convergence and Regularization Results for Optimal Control Problems with Sparsity FunctionalESAIM: Control, Optimisation and Calculus of Variations (COCV) , 17(3), p.858-886, 2011 DOI: 10.1051/cocv/2010027 Book Chapters Stephan Dempe, Felix Harder, Patrick Mehlitz and Gerd Wachsmuth Analysis and Solution Methods for Bilevel Optimal Control Problems in: Non-Smooth and Complementarity-Based Distributed Parameter Systems , p.77-99, Birkhäuser Basel, 2021 DOI: 10.1007/978-3-030-79393-7_4 Patrick Mehlitz and Gerd Wachsmuth Bilevel optimal control: existence results and stationarity conditions in: Bilevel Optimization: Advances and Next Challenges , Optimization and Its Applications, p.451-484, Springer, 2020 DOI: 10.1007/978-3-030-52119-6_16 Roland Herzog, Christian Meyer and Gerd Wachsmuth 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, Springer, 2014 DOI: 10.1007/978-3-319-05083-6_4 Publications in Proceedings Christian Clason, Yu Deng, Patrick Mehlitz and Uwe Prüfert A penalization scheme for the numerical solution of optimal control problems with control complementarity constraintsProceedings in Applied Mathematics and Mechanics (PAMM) , 19(1), p.1-2, 2019 DOI: 10.1002/pamm.201900122 Daniel Wachsmuth and Gerd WachsmuthHow not to discretize the control Proceedings in Applied Mathematics and Mechanics (PAMM) , 16(1), p.793-794, 2016 DOI: 10.1002/pamm.201610385 arXiv: 1603.07099 René Schneider and Gerd Wachsmuth Achieving optimal convergence order for FEM in control constrained optimal control problemsProceedings in Applied Mathematics and Mechanics (PAMM) , 15(1), p.731-734, 2015 DOI: 10.1002/pamm.201510350 Sophia Frankeser, Sebastian Hiller, Gerd Wachsmuth, Josef Lutz Using the On-state-Vbe Sat-Voltage for Temperature Estimation of SiC-BJTs During Normal Operation in: Proceedings of PCIM Europe, p.132-139, 2015 Daniel Wachsmuth and Gerd Wachsmuth Necessary Conditions for Convergence Rates of Regularizations of Optimal Control Problems in: System Modeling and Optimization , IFIP Advances in Information and Communication Technology, p.145-154, Springer Berlin Heidelberg, 2013 DOI: 10.1007/978-3-642-36062-6_15 Eduardo Casas, Roland Herzog and Gerd Wachsmuth Approximation of Sparse Controls in Semilinear Elliptic Equations in: Large-Scale Scientific Computing , Lecture Notes in Computer Science 7116, p.16-27, Springer, 2012 DOI: 10.1007/978-3-642-29843-1_2 Erhard Leidich, Michael Lätzer and Gerd Wachsmuth Elastisch-plastisch beanspruchte Mehrfachpressverbände in: Welle-Nabe-Verbindungen. Gestaltung - Fertigung - Anwendungen, VDI-Berichte 2114, p.335-342, 2010 Further Documents Gerd Wachsmuth Optimization problems with complementarity constraints in infinite-dimensional spaces Habilitation thesis, TU Chemnitz, 2017 URN: urn:nbn:de:bsz:ch1-qucosa-227446 Roland Herzog, Christian Meyer and Gerd WachsmuthOptimale Steuerung in der Elastoplastizität GAMM-Rundbrief , 02/2012, p.16-20, 2012 Gerd WachsmuthOptimal control of quasistatic plasticity - An MPCC in function space Dissertation, Technische Universität Chemnitz, 2011 Gerd Wachsmuth Elliptische Optimalsteuerungsprobleme unter Sparsity-Constraints Diplomarbeit, Technische Universität Chemnitz, 2008 Preprints
This website uses cookies. There are two types of cookies: The first type supports the basic functionality of our website. The second allows us to improve our content for you by saving and analyzing pseudonymised user data. Since this second type is technically not required to run the website, you can withdraw your consent to those cookies at any time. For more information please visit our pages on data protection .
Settings
Accept mandatory Cookies
Accept all cookies
Save settings
×