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Deutsch Intern
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Optimal Control

Karl Veronika

Veronika Karl

Wissenschaftliche Mitarbeiterin
Professur für Mathematik am Lehrstuhl Mathematik VII
Emil-Fischer-Straße 30
97074 Würzburg
Building: 30 (Mathematik West)
Room: 02.020
Portrait Veronika Karl

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

  • 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
    arXiv:1805.03009, (2018)
     
  • The Multiplier-Penalty Method for Generalized Nash Equilibrium Problems in Banach Spaces
    C. Kanzow, V. Karl, D. Steck, D. Wachsmuth
    Preprint SPP1962-028, (2017)
     
  • 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) (doi:10.1080/01630563.2018.1486858).
    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).

Winter Semester 2016/2017

  • Übungen zur Vorlesung Einführung in die Funktionalanalysis
     

Summer Semester 2016

  • Übungen zur Vorlesung Mathematik II für Physik und Nanostrukturtechnik