BTU overview
Faculty 1
Chair of Optimal Control Prof. Dr. rer. nat. habil. Gerd Wachsmuth

List of publications

Recent Preprints

Publications in Journals

  1. Amal Alphonse and Gerd Wachsmuth
    Subdifferentials 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
     
  2. Jonas Marko and Gerd Wachsmuth
    Vector-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
     
  3. Hiba Hmede, Luc Paquet and Gerd Wachsmuth
    No-gap second-order optimality conditions for additive manufacturing
    to appear in: Mathematical Control and Related Fields
    2025
    DOI: 10.3934/mcrf.2025028
    arXiv: 2410.18776
     
  4. Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg and Gerd Wachsmuth
    Minimal 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
     
  5. Nicolas Borchard and Gerd Wachsmuth
    Second-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
     
  6. Alberto De Marchi and Patrick Mehlitz
    Local 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
     
  7. Constantin Christof and Gerd Wachsmuth
    Energy 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
     
  8. Christian Kanzow, Fabius Krämer, Patrick Mehlitz, Gerd Wachsmuth and Frank Werner
    Variational 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
     
  9. Gerd Wachsmuth
    Slater 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
     
  10. Gerd Wachsmuth
    A convex, finite and lower semicontinuous function with empty subdifferential
    Journal of Convex Analysis, 32(3), p.877-882, 2025
    arXiv: 2409.18650
     
  11. Lateef O. Jolaoso, Patrick Mehlitz and Alain B. Zemkoho
    A 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
     
  12. Daniel Hoff and Patrick Mehlitz
    Notes 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
     
  13. Simone Göttlich, Patrick Mehlitz and Thomas Schillinger
    Inverse demand tracking in transportation networks
    Mathematical Methods of Operations Research, 2024
    2024
    DOI: 10.1007/s00186-024-00875-y
    arXiv: 2212.11560
     
  14. Matúš Benko and Patrick Mehlitz
    On the directional asymptotic approach in optimization theory
    Mathematical Programming, p.1-79, 2024
    2024
    DOI: 10.1007/s10107-024-02089-w
     
  15. Alberto Domínguez Corella and Gerd Wachsmuth
    Stability 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
     
  16. Marián Fabian, Alexander Y. Kruger and Patrick Mehlitz
    Fuzzy 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
     
  17. Xiaoxi Jia, Christian Kanzow and Patrick Mehlitz
    Convergence 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
     
  18. Gerd Wachsmuth
    Non-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
     
  19. Jonas Marko and Gerd Wachsmuth
    Integer 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
     
  20. Daniel Wachsmuth and Gerd Wachsmuth
    A 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
     
  21. Matúš Benko and Patrick Mehlitz
    Why 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
     
  22. Patrick Mehlitz
    A 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
     
  23. Constantin Christof and Gerd Wachsmuth
    Semismoothness 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
     
  24. Markus Friedemann, Felix Harder and Gerd Wachsmuth
    Finding 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
     
  25. Alberto De Marchi, Xiaoxi Jia, Christian Kanzow and Patrick Mehlitz
    Constrained composite optimization and augmented Lagrangian methods
    Mathematical Programming, 2023
    2023
    DOI: 10.1007/s10107-022-01922-4
    arXiv: 2203.05276
     
  26. Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz and Gerd Wachsmuth
    An Augmented Lagrangian Method for Optimization Problems with Structured Geometric Constraints
    Mathematical Programming, 199, p.1365-1415, 2023
    DOI: 10.1007/s10107-022-01870-z
     
  27. Patrick Mehlitz
    Asymptotic regularity for Lipschitzian nonlinear optimization problems with applications to complementarity-constrained and bilevel programming
    Optimization, 72, p.277-320, 2023
    DOI: 10.1080/02331934.2022.2031190
     
  28. Hedwig Keller, Sören Bartels and Gerd Wachsmuth
    Numerical 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
     
  29. Ira Neitzel and Gerd Wachsmuth
    First-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
     
  30. Constantin Christof and Gerd Wachsmuth
    Lipschitz 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
     
  31. Christian Kanzow and Patrick Mehlitz
    Convergence 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
     
  32. Daniel Wachsmuth and Gerd Wachsmuth
    Second-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
     
  33. Patrick Mehlitz and Gerd Wachsmuth
    Subdifferentiation 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
     
  34. Gerd Wachsmuth
    From 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
     
  35. Gerd Wachsmuth
    Maximal 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
     
  36. Lev Lokutsievskiy, Gerd Wachsmuth and Mikhail Zelikin
    Non-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
     
  37. Alexander Y. Kruger and Patrick Mehlitz
    Optimality conditions, approximate stationarity, and applications - a story beyond Lipschitzness
    ESAIM: Control, Optimisation and Calculus of Variations (COCV), 28, p.42, 2022
    DOI: 10.1051/cocv/2022024
     
  38. Felix Harder and Gerd Wachsmuth
    M-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
     
  39. Matúš Benko and Patrick Mehlitz
    Calmness and Calculus: Two Basic Patterns
    Set-Valued and Variational Analysis (SVAA), 30, p.81-117, 2022
    DOI: 10.1007/s11228-021-00589-x
     
  40. 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 optimization
    Set-Valued and Variational Analysis (SVAA), 30, p.179-205, 2022
    DOI: 10.1007/s11228-021-00578-0
     
  41. Christian Kanzow, Patrick Mehlitz and Daniel Steck
    Relaxation schemes for mathematical programs with switching constraints
    Optimization Methods and Software, 36(6), p.1223-1258, 2021
    DOI: 10.1080/10556788.2019.1663425
     
  42. Felix Harder
    A 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
     
  43. Matúš Benko and Patrick Mehlitz
    On implicit variables in optimization theory
    Journal of Nonsmooth Analysis and Optimizaton, 2, 2021
    DOI: 10.46298/jnsao-2021-7215
     
  44. Felix Harder, Patrick Mehlitz and Gerd Wachsmuth
    Reformulation 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
     
  45. Yu Deng, Patrick Mehlitz and Uwe Prüfert
    Coupled versus Decoupled Penalization of Control Complementarity Constraints
    ESAIM: Control, Optimisation and Calculus of Variations (COCV), 27, p.1-31, 2021
    DOI: 10.1051/cocv/2021022
     
  46. Tobias Geiger, Daniel Wachsmuth and Gerd Wachsmuth
    Optimal control of ODEs with state suprema
    Mathematical Control and Related Fields, 11(3), p.555-578, 2021
    DOI: 10.3934/mcrf.2021012
     
  47. Patrick Mehlitz and Alain B. Zemkoho
    Sufficient optimality conditions in bilevel programming
    Mathematics of Operations Research, 46(4), p.1573-1598, 2021
    DOI: 10.1287/moor.2021.1122
     
  48. Patrick Mehlitz
    Asymptotic stationarity and regularity for nonsmooth optimization problems
    Journal of Nonsmooth Analysis and Optimizaton, 1, p.6575, 2020
    DOI: 10.46298/jnsao-2020-6575
     
  49. Patrick Mehlitz, Leonid I. Minchenko and Alain B. Zemkoho
    A note on partial calmness for bilevel optimization problems with linearly structured lower level
    Optimization Letters, 15, p.11277-1291, 2021
    DOI: 10.1007/s11590-020-01636-6
     
  50. Eike Börgens, Christian Kanzow, Patrick Mehlitz and Gerd Wachsmuth
    New 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
     
  51. Gerd Wachsmuth
    No-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
     
  52. Constantin Christof and Gerd Wachsmuth
    On 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
     
  53. Patrick Mehlitz
    Stationarity conditions and constraint qualifications for mathematical programs with switching constraints
    Mathematical Programming, 181(1), p.149-186, 2020
    DOI: 10.1007/s10107-019-01380-5
     
  54. Gerd Wachsmuth
    Elliptic 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
     
  55. Tommy Etling, Roland Herzog, Estefanía Loayza and Gerd Wachsmuth
    First 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
     
  56. Sören Bartels and Gerd Wachsmuth
    Numerical 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
     
  57. Patrick Mehlitz
    A comparison of solution approaches for the numerical treatment of or-constrained optimization problems
    Computational Optimization and Applications (COAP), 76(1), p.233-275, 2020
    DOI: 10.1007/s10589-020-00169-z
     
  58. Stephan Dempe and Patrick Mehlitz
    Semivectorial Bilevel Programming versus Scalar Bilevel Programming
    Optimization, 69(4), p.657-679, 2020
    DOI: 10.1080/02331934.2019.1625900
     
  59. Christian Clason, Yu Deng, Patrick Mehlitz and Uwe Prüfert
    Optimal control problems with control complementarity constraints
    Optimization Methods and Software, 35(2), p.142-170, 2020
    DOI: 10.1080/10556788.2019.1604705
     
  60. Patrick Mehlitz
    On the linear independence constraint qualification in disjunctive programming
    Optimization, 69(10), p.2241-2277, 2020
    DOI: 10.1080/02331934.2019.1679811
     
  61. Yu Deng, Patrick Mehlitz and Uwe Prüfert
    On an optimal control problem with gradient constraints
    Optimization, 69(3), p.519-551, 2020
    DOI: 10.1080/02331934.2019.1604707
     
  62. Stephan Dempe, Felix Harder, Patrick Mehlitz and Gerd Wachsmuth
    Solving 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
     
  63. Patrick Mehlitz
    On the sequential normal compactness condition and its restrictiveness in selected function spaces
    Set-Valued and Variational Analysis (SVAA), 27, p.763-782, 2019
    DOI: 10.1007/s11228-018-0475-6
     
  64. Anne-Therese Rauls and Gerd Wachsmuth
    Generalized derivatives for the solution operator of the obstacle problem
    Set-Valued and Variational Analysis (SVAA), 28(2), p.259-285, 2020
    DOI: 10.1007/s11228-019-0506-y
     
  65. Constantin Christof and Gerd Wachsmuth
    Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators
    Applied Mathematics & Optimization (AMO), 81(1), p.23-62, 2020
    DOI: 10.1007/s00245-018-09553-y
     
  66. Yu Deng, Patrick Mehlitz and Uwe Prüfert
    Optimal control in first-order Sobolev spaces with inequality constraints
    Computational Optimization and Applications (COAP), 72(3), p.797-826, 2019
    DOI: 10.1007/s10589-018-0053-8
     
  67. Francisco Benita and Patrick Mehlitz
    Solving optimal control problems with terminal complementarity constraints via Scholtes' relaxation scheme
    Computational Optimization and Applications (COAP), 72(2), p.413-430, 2019
    DOI: 10.1007/s10589-018-0050-y
     
  68. Francisco Benita and Patrick Mehlitz
    Optimal Control Problems with Terminal Complementarity Constraints
    SIAM Journal on Optimization (SIOPT), 28(4), p.3079-3104, 2018
    DOI: 10.1137/16M107637X
     
  69. Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez and Gerd Wachsmuth
    Discrete Total Variation with Finite Elements and Applications to Imaging
    Journal of Mathematical Imaging and Vision (JMIV), 61(4), p.411-431, 2019
    DOI: 10.1007/s10851-018-0852-7
     
  70. Felix Harder
    Legendre 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
     
  71. Eduardo Casas, Daniel Wachsmuth and Gerd Wachsmuth
    Second-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
     
  72. Felix Harder and Gerd Wachsmuth
    Optimality 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
     
  73. Felix Harder and Gerd Wachsmuth
    The 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
     
  74. Constantin Christof and Gerd Wachsmuth
    No-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
     
  75. Constantin Christof and Gerd Wachsmuth
    On 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
     
  76. Felix Harder and Gerd Wachsmuth
    Comparison 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
     
  77. Gerd Wachsmuth
    A guided tour of polyhedric sets
    Journal of Convex Analysis, 26(1), p.153-188, 2019
     
  78. Bernardo González Merino, Thomas Jahn, Alexander Polyanskii and Gerd Wachsmuth
    Hunting 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
     
  79. Patrick Mehlitz and Gerd Wachsmuth
    The 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
     
  80. Eduardo Casas, Daniel Wachsmuth and Gerd Wachsmuth
    Sufficient 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
     
  81. Christopher Schneider and Gerd Wachsmuth
    Regularization 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
     
  82. Gerd Wachsmuth
    Conforming Approximation of Convex Functions with the Finite Element Method
    Numerische Mathematik, 137(3), p.741-772, 2017
    DOI: 10.1007/s00211-017-0884-8
     
  83. Arnd Rösch and Gerd Wachsmuth
    Mass 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
     
  84. Ulisse Stefanelli, Daniel Wachsmuth and Gerd Wachsmuth
    Optimal 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
     
  85. Patrick Mehlitz and Gerd Wachsmuth
    The 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
     
  86. Gerd Wachsmuth
    Pointwise 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
     
  87. Gerd Wachsmuth
    Strong 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
     
  88. Gerd Wachsmuth
    Towards 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
     
  89. René Schneider and Gerd Wachsmuth
    A-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
     
  90. Patrick Mehlitz and Gerd Wachsmuth
    Weak and strong stationarity in generalized bilevel programming and bilevel optimal control
    Optimization, 65(5), p.907-935, 2016
    DOI: 10.1080/02331934.2015.1122007
     
  91. Eduardo Casas, Roland Herzog and Gerd Wachsmuth
    Analysis of Spatio-Temporally Sparse Optimal Control Problems of Semilinear Parabolic Equations
    ESAIM: Control, Optimisation and Calculus of Variations (COCV), 23(1), p.263-295, 2017
    DOI: 10.1051/cocv/2015048
     
  92. Gerd Wachsmuth
    Optimal 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
     
  93. Gerd Wachsmuth
    Optimal 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
     
  94. Gerd Wachsmuth
    Mathematical 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
     
  95. Roland Herzog, Johannes Obermeier and Gerd Wachsmuth
    Annular 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
     
  96. Gerd Wachsmuth
    Strong 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
     
  97. Daniel Wachsmuth and Gerd Wachsmuth
    Optimal control of an oblique derivative problem
    Annals of the Academy of Romanian Scientists. Series on Mathematics and its Applications, 6(1), p.50-73, 2014
     
  98. Gerd Wachsmuth
    Differentiability 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
     
  99. Gerd Wachsmuth
    The 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
     
  100. Gerd Wachsmuth, Michael Lätzer and Erhard Leidich
    Analytical computation of multiple interference fits under elasto-plastic deformations
    Zeitschrift für angewandte Mathematik und Mechanik (ZAMM), 94(12), p.1058-1064, 2013
    DOI: 10.1002/zamm.201300041
     
  101. Gerd Wachsmuth
    On LICQ and the uniqueness of Lagrange multipliers
    Operations Research Letters, 41(1), p.78-80, 2013
    DOI: 10.1016/j.orl.2012.11.009
     
  102. Roland Herzog, Christian Meyer and Gerd Wachsmuth
    B- 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
     
  103. Roland Herzog, Christian Meyer and Gerd Wachsmuth
    C-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
     
  104. Gerd Wachsmuth
    Optimal 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
     
  105. Eduardo Casas, Roland Herzog and Gerd Wachsmuth
    Approximation 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
     
  106. Eduardo Casas, Roland Herzog and Gerd Wachsmuth
    Optimality 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
     
  107. Daniel Wachsmuth and Gerd Wachsmuth
    Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints
    Control and Cybernetics, 40(4), p.1125-1158, 2011
     
  108. Roland Herzog, Georg Stadler and Gerd Wachsmuth
    Directional 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
     
  109. Roland Herzog, Christian Meyer and Gerd Wachsmuth
    Integrability 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
     
  110. Roland Herzog, Christian Meyer and Gerd Wachsmuth
    Existence and Regularity of the Plastic Multiplier in Static and Quasistatic Plasticity
    GAMM Reports, 34(1), p.39-44, 2011
    DOI: 10.1002/gamm.201110006
     
  111. Gerd Wachsmuth and Daniel Wachsmuth
    Convergence 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

Book Chapters

  1. 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
     
  2. 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
     
  3. 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

  1. Christian Clason, Yu Deng, Patrick Mehlitz and Uwe Prüfert
    A penalization scheme for the numerical solution of optimal control problems with control complementarity constraints
    Proceedings in Applied Mathematics and Mechanics (PAMM), 19(1), p.1-2, 2019
    DOI: 10.1002/pamm.201900122
     
  2. Daniel Wachsmuth and Gerd Wachsmuth
    How 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
     
  3. René Schneider and Gerd Wachsmuth
    Achieving 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
     
  4. 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
     
  5. 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
     
  6. 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
     
  7. 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

  1. Gerd Wachsmuth
    Optimization problems with complementarity constraints in infinite-dimensional spaces
    Habilitation thesis, TU Chemnitz, 2017
    URN: urn:nbn:de:bsz:ch1-qucosa-227446
     
  2. Roland Herzog, Christian Meyer and Gerd Wachsmuth
    Optimale Steuerung in der Elastoplastizität
    GAMM-Rundbrief, 02/2012, p.16-20, 2012
     
  3. Gerd Wachsmuth
    Optimal control of quasistatic plasticity - An MPCC in function space
    Dissertation, Technische Universität Chemnitz, 2011
     
  4. Gerd Wachsmuth
    Elliptische Optimalsteuerungsprobleme unter Sparsity-Constraints
    Diplomarbeit, Technische Universität Chemnitz, 2008

Preprints