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    Veronika Karl

    Veronika Karl

    Chair of Mathematics VII
    (Numerical Mathematics and Optimization)

    Adresse:
    University of Würzburg
    Institute for Mathematics
    Campus Hubland Nord
    Emil-Fischer-Straße 30
    97074 Würzburg

    Office:
    Mathematik West, Room 02.020

    Contact:
    Phone:+49 (0)931 31-82469
    Fax: +49 (0)931 31-84675

    E-Mail: veronika.karl@mathematik.uni-wuerzburg.de

    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

    DFG Priority Programme

    Research

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

    Publications

    • 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).

    Conferences and Workshops


    Teaching

    • Summer term 2016
      Exercises to Mathematics II for Physicists
    • Winter term 2016/2017
      Exercises to Introduction into Functional Analysis
    Institut für Mathematik     Campus Hubland Nord     97074 Würzburg     Tel. 0931/31-82469