Dr. Max Winkler

Max Winkler

Telefon:

0371-531-+49 371 531 33097

Fax:

+49 371 531 22509

Raum:

Reichenhainer Str. 41, Zimmer 616

E-Mail:

max.winkler@mathematik.tu-chemnitz.de

Short CV

• born in 1987 in Freital
• 2006-2011: Diploma in Mathematics at Technische Universität Dresden
• 2011-2015: PhD student at UniBw München within the international research training group IGDK Munich-Graz
• 2015-2017: PostDoc at UniBw München
• 2017-now: Academic assistent at TU Chemnitz
• Summer term 2020: Substitute professor at Leibniz University Hannover

Teaching

Current semester: Winter term 2023

• Exercise Mathematik III (für IF/ET/Ph)
• Exercise Höhere Mathematik I (für IW/Ch/SK/CC)

Former semesters

Summer term 2023

• Exercise Numerical methods for partial differential equations
• Exercise Mathematisches Programmieren
• Exercise Mathematik IV (für IF/ET/Ph)

Winter term 2022/23

• Exercise Statistik (für Wirtschaftswissenschaftler)
• Exercise Höhere Mathematik III (für Maschinenbauer)

Summer term 2022

• Lecture Mathematisches Programmieren
• Exercise Mathematics IV

Winter term 2021/2022

• Lecture Optimization with partial differential equations
• Exercise Mathematics III

Summer term 2021

• Lecture Numerical methods for partial differential equations

Winter term 2020/2021

• Exercise for the lecture Introduction to Optimization

Summer term 2020

• 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)

Publications

Submitted articles

1. Marino, G., Pietschmann, J., Winkler, M.:
   A free boundary model for transport induced neurite growth
   Preprint arXiv:2302.00527, 2023
2. Blechschmidt, J, Pietschmann, J.-F., Riemer, T.-C., Stoll, M., Winkler, M.: A comparison of PINN approaches for drift-diffusion equations on metric graphs
   Preprint arXiv:2205.07195, 2022

Journal articles

1. Pietschmann, J., Stötzner, A., Winkler, M.:
   Numerical investigation of agent controlled pedestrian dynamics using a structure preserving finite volume scheme
   Advances in Computational Mathematics 50(4), 2024
   [Article | Preprint arXiv:2301.02516 ]
   Program code available in GitHub
2. Herzog, R., Pietschmann, J., Winkler, M.:
   Optimal Control of Hughes' Model for Pedestrian Flow via Local Attraction
   Applied Mathematics & Optimization 88(87), 2023
   [Article | Preprint arXiv:2011.03580]
3. Pfefferer, J., Winkler, M.:
   Finite element approximations for PDEs with irregular Dirichlet boundary data on boundary concentrated meshes
   Computational Methods in Applied Mathematics 23(4), 2022
   [Article ]
4. Stoll, M., Winkler, M.:
   Optimization of a partial differential equation on a complex network
   Electronic Transactions on Numerical Analysis 54:392-419, 2021
   [ Article | Preprint arXiv:1907.07806]
5. Blechschmidt J, Herzog, R., Winkler, M.:
   Error estimation for second-order PDEs in non-variational form
   Numerical Methods for Partial Differential Equations 37(3):2190-2221, 2021
   [Article | Preprint arXiv:1909.12676]
6. 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 ]
7. 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 ]
8. 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 ]
9. 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 ]
10. 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 ]
11. 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 ]
12. 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 ]
13. 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 ]
14. 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 ]
15. 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.