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Research Group Numerical Mathematics (Partial Differential Equations)
Dr. Max Winkler

Dr. Max Winkler

Academic Counselor in the Research Group Numerical Mathematics (Partial Differential Equations) (Prof. Dr. Roland Herzog)
Phone:
+49 371 531 33097
Fax:
+49 371 531 833097
Office:
Reichenhainer Str. 41, Office 616 (C47.616)
e-mail:
WWW:
https://www.tu-chemnitz.de/mathematik/part_dgl/people/winkler
ORCID:
ORCID iD icon0000-0002-5292-2280
Scholar:
Max Winkler
Secretary:
Anne-Kristin Glanzberg, Office 607, Phone +49 371 531 22500
Postal address:
TU Chemnitz, Faculty of Mathematics, 09107 Chemnitz, Germany
Office Hours:
any time when present
  • born in 1987 in Freital
  • 2006/2011, Study of Industrial Mathematics at Technische Universität Dresden
  • May 2011, Diploma in Industrial Mathematics
  • 2011-2017, research assistent at the University of the German federal armed forces and member of the international research training group IGDK Munich-Graz
  • June 2015, PhD at the UniBw München, advisor Thomas Apel
  • since July 2017, Academic assistent at TU Chemnitz, work group Numerical Mathematics (partial differential equations)
  • Summer term 2020, Substitute professor at Leibniz University Hannover

Submitted articles

  1. Herzog, R., Pietschmann, J., Winkler, M.:
    Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction
    Preprint arXiv:2011.03580, November 2020
  2. Stoll, M., Winkler, M.:
    Optimization of a partial differential equation on a complex network
    Preprint arXiv:1907.07806, July 2019

Journal articles

  1. Blechschmidt J, Herzog, R., Winkler, M.:
    Error estimation for second-order PDEs in non-variational form
    Numerical Methods for Partial Differential Equations, to appear, 2020
    [Preprint arXiv:1909.12676]
  2. Winkler, M.:
    Error estimates for the finite element approximation of bilinear boundary control problems
    Computational Optimization and Applications 76(1):155-199, 2020
    [ Preprint arXiv:1901.03612 ]
  3. Winkler, M.:
    Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization
    Numerische Mathematik 144:413–445, 2020
    [ Preprint arXiv:1808.01171 ]
  4. Pfefferer, J., Winkler, M.:
    Finite element error estimates for normal derivatives on boundary concentrated meshes
    SIAM J. Numer. Anal. 57(5):2043-2073, 2019
    [ Preprint arXiv:1804.05723 ]
  5. Apel, T., Pfefferer, J., Rogovs, S., Winkler, M.:
    Maximum norm error estimates for Neumann boundary value problems on graded meshes
    IMA J. Numer. Anal. 40(1):474–497, 2020
    [ Preprint arXiv:1804.10904 ]
  6. Apel, T., Pfefferer, J., Winkler, M.:
    Error Estimates for the postprocessing approach applied to Neumann boundary control problems in polyhedral domains,
    IMA J. Numer. Anal.,38(4): 1984–2025, 2018. [ Preprint ]
  7. Apel, T., Steinbach, O., Winkler, M.:
    Error Estimates for Neumann Boundary Control Problems with Energy Regularization,
    J. Numer. Math. 24(4):207-233, 2016. [ Preprint ]
  8. Apel, T., Pfefferer, J., Winkler, M.:
    Local Mesh Refinement for the Discretization of Neumann Boundary Control Problems on Polyhedra,
    Math. Methods Appl. Sci. 39(5):1206-1232, 2015. [ Preprint ]
  9. Apel, T., Lombardi, A. L., Winkler, M.:
    Anisotropic mesh refinement in polyhedral domains: error estimates with data in L2(Ω),
    ESAIM. Math. Model. Numer. Anal. 48(4): 1117-1145, 2014. [ Preprint ]
  10. Grossmann, C., Winkler, M.:
    Mesh-Independent Convergence of Penalty Methods Applied to Optimal Control with Partial Differential Equations,
    Optimization 62(5): 629-647, 2013. [ Preprint ]
  11. Grossmann, C., Winkler, M.:
    A Mesh-Independence Principle for Quadratic Penalties Applied to Semilinear Elliptic Boundary Control,
    Schedae Informaticae 21: 9-26, 2012. [ Preprint ]

Theses

  1. Diploma thesis: Strafmethoden für steuerbeschränkte Kontrollprobleme, TU Dresden, 2011.
  2. PhD thesis: Finite element error analysis for Neumann boundary control problems on polyhedral domains, UniBw München, 2015.