Former Employee

Research Interests

• Optimal Control
  • Optimal control problems with state constraints
  • Augmented Lagrange methods for optimal control problems
• (Quasi-)variational-inequalities
  • GNEPs in Banach spaces
  • Nash equilibrium problems in the optimal control setting

DFG Priority Programme 1962

Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization. (Website)

Member of Project 14:
Algorithms for Quasi-Variational Inequalities in Infinite-dimensional Spaces

• Safeguarded augmented Lagrangian methods in Banach spaces
  Kanzow, C., Karl, V., Steck, D., Wachsmuth, D. (2019).
  Preprint, Institute of Mathematics, University of Würzburg, Würzburg, Juni 2019.
   
• A Lagrange Multiplier Method for Semilinear Elliptic State Constrained Optimal Control Problems
  V. Karl, I. Neitzel, D. Wachsmuth
  arXiv:1806.08124, (2018)
   
• On Non-Reducible Multi-Player Control Problems and their Numerical Computation
  V. Karl, F. Pörner
  Optimization Methods and Software, to appear.
  Preprint: arXiv:1805.03009, (2018)
   
• The Multiplier-Penalty Method for Generalized Nash Equilibrium Problems in Banach Spaces
  C. Kanzow, V. Karl, D. Steck, D. Wachsmuth
  SIAM J. Optim. 29, 767--793  (2019).
   
• A Joint Tikhonov Regularization and Augmented Lagrange Approach for Ill-posed State Constrained Control Problems with Sparse Controls
  V. Karl, F. Pörner
  Numerical Functional Analysis and Optimization (2018)
  Preprint: arXiv:1707.08460, (2017)
   
• An Augmented Lagrange Method for State Constrained Optimal Control Problems
  V. Karl, D. Wachsmuth
  Comp. Opt. Appl. 69(3), 857-880 (2018).

Sommersemester 2020

• Übungen zur Vorlesung Mathematik für Informatiker 2
  
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Winter Semester 2016/2017

• Übungen zur Vorlesung Einführung in die Funktionalanalysis
   

Summer Semester 2016

• Übungen zur Vorlesung Mathematik II für Physik und Nanostrukturtechnik

• Fall School 2019: Quasi-Variational Inequalities: Theory, Algorithms, and Applications
  Würzburg, Deutschland, 23. - 25. September 2019
   
• Annual Meeting of the DFG Priority Programme 1962 (2018)
  Kremmen, Deutschland, 1.-3. Oktober 2018
   
• IFIP TC 7 Conference on System Modelling and Optimization
  Essen, Deutschland, 23.-27. Juli 2018
   

• Organisation des SPP 1962 Annual Women’s Meeting 2018
  Würzburg, 16. — 17. July 2018

• Winter School 2018: Modern Methods in Nonsmooth Optimization
  Würzburg, Deutschland, 27. February  - 02. March 2018

• Annual Meeting of the DFG Priority Programme 1962 (2017)
  Kremmen, Deutschland, 9.-11. Oktober 2017
   
• OCIP 2017 - Workshop on Numerical Methods for Optimal Control and Inverse Problems
  Technische Universität München, Deutschland, 5.-7. April 2017
   
• ALOP Workshop: Women in Optimization 2017
  Universität Trier, Deutschland, 20. - 22. März 2017