Liste der Publikationen

Neuere Preprints

Veröffentlichungen in Zeitschriften

  1. 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
     
  2. Matúš Benko und Patrick Mehlitz
    On implicit variables in optimization theory
    Journal of Nonsmooth Analysis and Optimizaton, 2, p.7215, 2021
    DOI: 10.46298/jnsao-2021-7215
     
  3. 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 optimization
    Set-Valued and Variational Analysis (SVAA), p.1-27, 2021
    2021
    DOI: 10.1007/s11228-021-00578-0
     
  4. Matúš Benko und Patrick Mehlitz
    Calmness and Calculus: Two Basic Patterns
    Set-Valued and Variational Analysis (SVAA), p.1-37, 2021
    2021
    DOI: 10.1007/s11228-021-00589-x
     
  5. Felix Harder, Patrick Mehlitz und 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
     
  6. Yu Deng, Patrick Mehlitz und 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
     
  7. Tobias Geiger, Daniel Wachsmuth und 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
     
  8. Patrick Mehlitz und Alain B. Zemkoho
    Sufficient optimality conditions in bilevel programming
    Mathematics of Operations Research, p.1-26, 2021
    2021
    DOI: 10.1287/moor.2021.1122
     
  9. 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
     
  10. Patrick Mehlitz, Leonid I. Minchenko und 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
     
  11. Eike Börgens, Christian Kanzow, Patrick Mehlitz und 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
     
  12. 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
     
  13. Constantin Christof und Gerd Wachsmuth
    On Second-Order Optimality Conditions for Optimal Control Problems Governed by the Obstacle Problem
    erscheint in: Optimization
    Juni 2019
    DOI: 10.1080/02331934.2020.1778686
    arXiv: 1906.09065
    Preprint SPP1962-113
     
  14. 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
     
  15. 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
     
  16. Tommy Etling, Roland Herzog, Estefanía Loayza und 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
     
  17. Sören Bartels und 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
     
  18. Patrick Mehlitz
    A comparison of first-order methods for the numerical solution of or-constrained optimization problems
    Computational Optimization and Applications (COAP), 76(1), p.233-275, 2020
    DOI: 10.1007/s10589-020-00169-z
     
  19. Stephan Dempe und Patrick Mehlitz
    Semivectorial Bilevel Programming versus Scalar Bilevel Programming
    Optimization, 69(4), p.657-679, 2020
    DOI: 10.1080/02331934.2019.1625900
     
  20. Christian Clason, Yu Deng, Patrick Mehlitz und 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
     
  21. Patrick Mehlitz
    On the linear independence constraint qualification in disjunctive programming
    Optimization, 69(10), p.2241-2277, 2020
    DOI: 10.1080/02331934.2019.1679811
     
  22. Christian Kanzow, Patrick Mehlitz und Daniel Steck
    Relaxation schemes for mathematical programs with switching constraints
    Optimization Methods and Software, p.1--36, 2019
    2019
    DOI: 10.1080/10556788.2019.1663425
     
  23. Yu Deng, Patrick Mehlitz und Uwe Prüfert
    On an optimal control problem with gradient constraints
    Optimization, 69(3), p.519-551, 2020
    DOI: 10.1080/02331934.2019.1604707
     
  24. Stephan Dempe, Felix Harder, Patrick Mehlitz und 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
     
  25. 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
     
  26. Anne-Therese Rauls und Gerd Wachsmuth
    Generalized derivatives for the solution operator of the obstacle problem
    Set-Valued and Variational Analysis (SVAA), 28(2), p.259-285, 2019
    DOI: 10.1007/s11228-019-0506-y
     
  27. Constantin Christof und 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
     
  28. Yu Deng, Patrick Mehlitz und 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
     
  29. Francisco Benita und Patrick Mehlitz
    Solving optimal control problems with terminal complementarity constraints via Scholtes' relaxation scheme
    Computational Optimization and Applications (COAP), 72(2), p.413-430, 2018
    DOI: 10.1007/s10589-018-0050-y
     
  30. Francisco Benita und Patrick Mehlitz
    Optimal Control Problems with Terminal Complementarity Constraints
    SIAM Journal on Optimization (SIOPT), 28(4), p.3079-3104, 2018
    DOI: 10.1137/16M107637X
     
  31. Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez und 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
     
  32. 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
     
  33. Eduardo Casas, Daniel Wachsmuth und 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
     
  34. Felix Harder und 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
     
  35. Felix Harder und 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
     
  36. Constantin Christof und 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
     
  37. Constantin Christof und 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
     
  38. Felix Harder und 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
     
  39. Gerd Wachsmuth
    A guided tour of polyhedric sets
    Journal of Convex Analysis, 26(1), p.153-188, 2019
     
  40. Bernardo González Merino, Thomas Jahn, Alexander Polyanskii und Gerd Wachsmuth
    Hunting 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
     
  41. Patrick Mehlitz und 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
     
  42. Eduardo Casas, Daniel Wachsmuth und 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
     
  43. Christopher Schneider und 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
     
  44. 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
     
  45. Arnd Rösch und 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
     
  46. Ulisse Stefanelli, Daniel Wachsmuth und 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
     
  47. Patrick Mehlitz und 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
     
  48. 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
     
  49. 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
     
  50. 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
     
  51. René Schneider und 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
     
  52. Patrick Mehlitz und 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
     
  53. Eduardo Casas, Roland Herzog und 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
     
  54. 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
     
  55. 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
     
  56. 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
     
  57. Roland Herzog, Johannes Obermeier und 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
     
  58. 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
     
  59. Daniel Wachsmuth und 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
     
  60. 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
     
  61. 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
     
  62. Gerd Wachsmuth, Michael Lätzer und 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
     
  63. 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
     
  64. Roland Herzog, Christian Meyer und 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
     
  65. Roland Herzog, Christian Meyer und 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
     
  66. 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
     
  67. Eduardo Casas, Roland Herzog und 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
     
  68. Eduardo Casas, Roland Herzog und 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
     
  69. Daniel Wachsmuth und Gerd Wachsmuth
    Regularization error estimates and discrepancy principle for optimal control problems with inequality constraints
    Control and Cybernetics, 40(4), p.1125-1158, 2011
     
  70. Roland Herzog, Georg Stadler und 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
     
  71. Roland Herzog, Christian Meyer und 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
     
  72. Roland Herzog, Christian Meyer und 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
     
  73. Gerd Wachsmuth und 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

Buchbeiträge

  1. 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
     
  2. Roland Herzog, Christian Meyer und 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

Veröffentlichungen in Tagungsbänden

  1. Christian Clason, Yu Deng, Patrick Mehlitz und 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 und 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 und 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 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
     
  6. 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
     
  7. 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

  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 und 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

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