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Neuere Preprints Jonas Marko und Gerd WachsmuthVector-Valued Integer Optimal Control with TV Regularization: Optimality Conditions and Algorithmic Treatment November 2024 arXiv: 2411.06856 Hiba Hmede, Luc Paquet und Gerd WachsmuthNo-gap second-order optimality conditions for additive manufacturing Oktober 2024 arXiv: 2410.18776 Gerd Wachsmuth und Daniel WalterNo-gap second-order conditions for minimization problems in spaces of measures März 2024 arXiv: 2403.12001 Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg und Gerd WachsmuthMinimal and maximal solution maps of elliptic QVIs: penalisation, Lipschitz stability, differentiability and optimal control Dezember 2023 arXiv: 2312.13879 Nicolas Borchard und Gerd WachsmuthSecond-order conditions for spatio-temporally sparse optimal control via second subderivatives November 2023 arXiv: 2311.14538 Sören Bartels, Hedwig Keller und Gerd WachsmuthNumerical Approximation of Optimal Convex Shapes in ℝ³ November 2023 arXiv: 2311.13386 Alberto De Marchi und Patrick MehlitzLocal properties and augmented Lagrangians in fully nonconvex composite optimization September 2023 arXiv: 2309.01980 Constantin Christof und Gerd WachsmuthEnergy Space Newton Differentiability for Solution Maps of Unilateral and Bilateral Obstacle Problems August 2023 arXiv: 2308.15289 Stephan Dempe, Markus Friedemann, Felix Harder, Patrick Mehlitz und Gerd WachsmuthBilevel optimal control: theory, algorithms, and applications Mai 2023 arXiv: 2305.19786 Christian Kanzow, Fabius Krämer, Patrick Mehlitz, Gerd Wachsmuth und Frank WernerA nonsmooth augmented Lagrangian method and its application to Poisson denoising and sparse control April 2023 arXiv: 2304.06434 Veröffentlichungen in Zeitschriften Gerd WachsmuthSlater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints Optimization , p.1-19, 2024 2024 DOI: 10.1080/02331934.2024.2328648 arXiv: 2212.11249 Gerd WachsmuthA convex, finite and lower semicontinuous function with empty subdifferential erscheint in: Journal of Convex Analysis September 2024 arXiv: 2409.18650 Lateef O. Jolaoso, Patrick Mehlitz und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und 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 und Gerd WachsmuthHunting for reduced polytopes Discrete & Computational Geometry , 60(3), p.801-808, 2018 DOI: 10.1007/s00454-018-9982-3 Quelltext: Hunting for reduced polytopes: Evaluating your catches (DOI: 10.5281/zenodo.58491 ) arXiv: 1701.08629 Patrick Mehlitz und 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 und Gerd WachsmuthSufficient Second-Order Conditions for Bang-Bang Control Problems SIAM Journal on Control and Optimization (SICON) , 55(5), p.3066-3090, 2017 DOI: 10.1137/16M1099674 Christopher Schneider und Gerd WachsmuthRegularization and discretization error estimates for optimal control of ODEs with group sparsity ESAIM: Control, Optimisation and Calculus of Variations (COCV) , 24(2), p.811-834, 2018 DOI: 10.1051/cocv/2017049 Gerd WachsmuthConforming Approximation of Convex Functions with the Finite Element Method Numerische Mathematik , 137(3), p.741-772, 2017 DOI: 10.1007/s00211-017-0884-8 Arnd Rösch und Gerd WachsmuthMass lumping for the optimal control of elliptic partial differential equations SIAM Journal on Numerical Analysis (SINUM) , 55(3), p.1412-1436, 2017 DOI: 10.1137/16M1074473 Ulisse Stefanelli, Daniel Wachsmuth und 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 und 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 WachsmuthPointwise Constraints in Vector-Valued Sobolev Spaces. With Applications in Optimal Control Applied Mathematics & Optimization (AMO) , 77(3), p.463-497, 2016 DOI: 10.1007/s00245-016-9381-1 Gerd WachsmuthStrong stationarity for optimization problems with complementarity constraints in absence of polyhedricity Set-Valued and Variational Analysis (SVAA) , 25(1), p.133-175, 2017 DOI: 10.1007/s11228-016-0370-y Gerd WachsmuthTowards M-stationarity for optimal control of the obstacle problem with control constraints SIAM Journal on Control and Optimization (SICON) , 54(2), p.964-986, 2016 DOI: 10.1137/140980582 René Schneider und Gerd WachsmuthA-posteriori error estimation for control-constrained, linear-quadratic optimal control problems SIAM Journal on Numerical Analysis (SINUM) , 54(2), p.1169-1192, 2016 DOI: 10.1137/15M1020460 Patrick Mehlitz und Gerd WachsmuthWeak and strong stationarity in generalized bilevel programming and bilevel optimal control Optimization , 65(5), p.907-935, 2016 DOI: 10.1080/02331934.2015.1122007 Eduardo Casas, Roland Herzog und 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 WachsmuthOptimal Control of Quasistatic Plasticity with Linear Kinematic Hardening II: Regularization and Differentiability Zeitschrift für Analysis und ihre Anwendungen (ZAA) , 34(4), p.391-418, 2015 DOI: 10.4171/ZAA/1546 Gerd WachsmuthOptimal Control of Quasistatic Plasticity with Linear Kinematic Hardening III: Optimality Conditions Zeitschrift für Analysis und ihre Anwendungen (ZAA) , 35(1), p.81-118, 2016 DOI: 10.4171/ZAA/1556 Gerd WachsmuthMathematical Programs with Complementarity Constraints in Banach Spaces Journal of Optimization Theory and Applications (JOTA) , 166(2), p.480-507, 2015 DOI: 10.1007/s10957-014-0695-3 Roland Herzog, Johannes Obermeier und Gerd WachsmuthAnnular and Sectorial Sparsity in Optimal Control of Elliptic Equations Computational Optimization and Applications (COAP) , 62(1), p.157-180, 2015 DOI: 10.1007/s10589-014-9721-5 Gerd WachsmuthStrong Stationarity for Optimal Control of the Obstacle Problem with Control Constraints SIAM Journal on Optimization (SIOPT) , 24(4), p.1914-1932, 2014 DOI: 10.1137/130925827 Daniel Wachsmuth und 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 WachsmuthDifferentiability of implicit functions: Beyond the implicit function theorem Journal of Mathematical Analysis and Applications (JMAA) , 414(1), p.259-272, 2014 DOI: 10.1016/j.jmaa.2014.01.007 Gerd WachsmuthThe Numerical Solution of Newton's Problem of Least Resistance Mathematical Programming , 147(1-2), p.331-350, 2014 DOI: 10.1007/s10107-014-0756-2 Gerd Wachsmuth, Michael Lätzer und 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 WachsmuthOn LICQ and the uniqueness of Lagrange multipliers Operations Research Letters , 41(1), p.78-80, 2013 DOI: 10.1016/j.orl.2012.11.009 Roland Herzog, Christian Meyer und Gerd WachsmuthB- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening SIAM Journal on Optimization (SIOPT) , 23(1), p.321-352, 2013 DOI: 10.1137/110821147 Roland Herzog, Christian Meyer und Gerd WachsmuthC-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening SIAM Journal on Control and Optimization (SICON) , 50(5), p.3052-3082, 2012 DOI: 10.1137/100809325 Gerd WachsmuthOptimal Control of Quasistatic Plasticity with Linear Kinematic Hardening, Part I: Existence and Discretization in Time SIAM Journal on Control and Optimization (SICON) , 50(5), p.2836-2861, 2012 DOI: 10.1137/110839187 Eduardo Casas, Roland Herzog und Gerd WachsmuthApproximation of Sparse Controls in Semilinear Equations by Piecewise Linear Functions Numerische Mathematik , 122(4), p.645-669, 2012 DOI: 10.1007/s00211-012-0475-7 Eduardo Casas, Roland Herzog und Gerd WachsmuthOptimality Conditions and Error Analysis of Semilinear Elliptic Control Problems with L1 Cost Functional SIAM Journal on Optimization (SIOPT) , 22(3), p.795-820, 2012 DOI: 10.1137/110834366 Daniel Wachsmuth und Gerd WachsmuthRegularization error estimates and discrepancy principle for optimal control problems with inequality constraints Control and Cybernetics , 40(4), p.1125-1158, 2011 Roland Herzog, Georg Stadler und Gerd WachsmuthDirectional Sparsity in Optimal Control of Partial Differential Equations SIAM 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 und Gerd WachsmuthIntegrability of Displacement and Stresses in Linear and Nonlinear Elasticity with Mixed Boundary Conditions Journal of Mathematical Analysis and Applications (JMAA) , 382(2), p.802-813, 2011 DOI: 10.1016/j.jmaa.2011.04.074 Roland Herzog, Christian Meyer und Gerd WachsmuthExistence and Regularity of the Plastic Multiplier in Static and Quasistatic Plasticity GAMM Reports , 34(1), p.39-44, 2011 DOI: 10.1002/gamm.201110006 Gerd Wachsmuth und Daniel WachsmuthConvergence and Regularization Results for Optimal Control Problems with Sparsity Functional ESAIM: Control, Optimisation and Calculus of Variations (COCV) , 17(3), p.858-886, 2011 DOI: 10.1051/cocv/2010027 Buchbeiträge Stephan Dempe, Felix Harder, Patrick Mehlitz und 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 und 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 und Gerd WachsmuthOptimal 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 Veröffentlichungen in Tagungsbänden Christian Clason, Yu Deng, Patrick Mehlitz und 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 und 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 und Gerd WachsmuthAchieving optimal convergence order for FEM in control constrained optimal control problems Proceedings 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 und 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 und 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 und Gerd Wachsmuth Elastisch-plastisch beanspruchte Mehrfachpressverbände in: Welle-Nabe-Verbindungen. Gestaltung - Fertigung - Anwendungen, VDI-Berichte 2114, p.335-342, 2010 Weitere Dokumente 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 und 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 WachsmuthElliptische Optimalsteuerungsprobleme unter Sparsity-Constraints Diplomarbeit, Technische Universität Chemnitz, 2008 Preprints
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