Current Group Member

Dr. Georg Müller

Deputy Group Leader

I have been the deputy group leader and a postdoctoral researcher at the Scientific Computing and Optimization group at the Interdisciplinary Center for Scientific Computing of Heidelberg University since September 2021.

You can find my CV here.

Research Interests

My research mainly focuses on

  • nonsmooth optimization
  • optimal control of PDEs
  • multiobjective optimization
  • (nonlinear) preconditioning

Recent Completed Projects

Latest Publications

  • Bastian Dittrich, Evelyn Herberg, Roland Herzog and Georg Müller
    A DC-reformulation for gradient-$L^0$-constrained problems in function spaces, 2025
    arXiv:2506.11917
    bibtex 
    @ONLINE{DittrichHerbergHerzogMueller:2025:1,
  AUTHOR = {Dittrich, Bastian and Herberg, Evelyn and Herzog, Roland and Müller, Georg},
  DATE = {2025-06},
  EPRINT = {2506.11917},
  EPRINTTYPE = {arXiv},
  TITLE = {A DC-reformulation for gradient-$L^0$-constrained problems in function spaces},
}
  • Gabriele Ciaramella, Michael Kartmann and Georg Müller
    Solving semi-linear elliptic optimal control problems with $L^1$-cost via regularization and RAS-preconditioned Newton methods, 2024
    arXiv:2411.00546
    bibtex 
    @ONLINE{CiaramellaKartmannMueller:2024:1,
  AUTHOR = {Ciaramella, Gabriele and Kartmann, Michael and Müller, Georg},
  DATE = {2024-11},
  EPRINT = {2411.00546},
  EPRINTTYPE = {arXiv},
  TITLE = {Solving semi-linear elliptic optimal control problems with $L^1$-cost via regularization and RAS-preconditioned Newton methods},
}
  • Konstantin Sonntag, Bennet Gebken, Georg Müller, Sebastian Peitz and Stefan Volkwein
    A descent method for nonsmooth multiobjective optimization in Hilbert spaces
    Journal of Optimization Theory and Applications 203(1), p.455-487, 2024
    doi:10.1007/s10957-024-02520-4
    bibtex 
    @ARTICLE{SonntagGebkenMuellerPeitzVolkwein:2024:1,
  AUTHOR = {Sonntag, Konstantin and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Volkwein, Stefan},
  PUBLISHER = {Springer Science and Business Media LLC},
  DATE = {2024-09},
  DOI = {10.1007/s10957-024-02520-4},
  JOURNALTITLE = {Journal of Optimization Theory and Applications},
  NUMBER = {1},
  PAGES = {455--487},
  TITLE = {A descent method for nonsmooth multiobjective optimization in Hilbert spaces},
  VOLUME = {203},
}
  • Marco Bernreuther, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian Peitz, Konstantin Sonntag and Stefan Volkwein
    Multiobjective optimization of non-smooth PDE-constrained problems, 2023
    arXiv:2308.01113
    bibtex 
    @ONLINE{BernreutherDellnitzGebkenMuellerPeitzSonntagVolkwein:2023:1,
  AUTHOR = {Bernreuther, Marco and Dellnitz, Michael and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Sonntag, Konstantin and Volkwein, Stefan},
  DATE = {2023-08},
  EPRINT = {2308.01113},
  EPRINTTYPE = {arXiv},
  TITLE = {Multiobjective optimization of non-smooth PDE-constrained problems},
}

Recent Teaching

Currently Supervising

  • B.Sc. Thesis of Gero Brunke:
    Sorting by Linear Programming
    B.Sc. Mathematik, Heidelberg University
    Supervision: Roland Herzog and Georg Müller

Recent Events Organized