Current semester: Summer term 2021

• Lecture Numerical methods for partial differential equations

Former semesters

Winter term 2020/2021

• Exercise for the lecture Introduction to Optimization

Summer term 2020

Temporary professorship at Leibniz-Universität Hannover

• Mathematics II für life sciences and geology
• Computeralgebra
• Discontinuous Galerkin methods

Winter term 2019/2020

• Exercise for the lecture Introduction to Optimization
• Exercise for the lecture Statistics for economists

Summer term 2019

• Lecture Numerical Methods for Partial Differential Equations (in english)

Winter term 2018/2019

• Lecture Numerical Methods for Ordinary Differential Equations

Summer term 2018

• Übung zur Vorlesung Numerik partieller Differentialgleichungen
• Übung zur Vorlesung Mathematik II (für IF, ET, Ph)

Winter term 2017/18

• Übung zur Vorlesung Grundlagen der Optimierung
• Übung zur Vorlesung Mathematik I (für IF, ET, Ph)

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, published electronically, 2020
   [Article | 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.