Latest publications

• Roland Herzog, Jan-Frederik Pietschmann and Max Winkler
  Optimal control of Hughes' model for pedestrian flow via local attraction
  Applied Mathematics and Optimization 88(3), 2023
  
  arXiv:2011.03580 doi:10.1007/s00245-023-10064-8
  bibtex

  @ARTICLE{HerzogPietschmannWinkler:2023:1,
    AUTHOR = {Herzog, Roland and Pietschmann, Jan-Frederik and Winkler, Max},
    DATE = {2023-10-17},
    DOI = {10.1007/s00245-023-10064-8},
    EPRINT = {2011.03580},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Applied Mathematics and Optimization},
    NUMBER = {3},
    TITLE = {Optimal control of Hughes' model for pedestrian flow via local attraction},
    VOLUME = {88},
  }

• Martin Stoll and Max Winkler
  Optimal Dirichlet control of partial differential equations on networks
  Electronic Transactions on Numerical Analysis 54, p.392-419, 2021
  
  arXiv:1907.07806 doi:10.1553/etna_vol54s392
  bibtex

  @ARTICLE{StollWinkler:2021:1,
    AUTHOR = {Stoll, Martin and Winkler, Max},
    DATE = {2021},
    DOI = {10.1553/etna_vol54s392},
    EPRINT = {1907.07806},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Electronic Transactions on Numerical Analysis},
    PAGES = {392--419},
    TITLE = {Optimal Dirichlet control of partial differential equations on networks},
    VOLUME = {54},
  }

• Jan Blechschmidt, Roland Herzog and Max Winkler
  Error estimation for second-order partial differential equations in nonvariational form
  Numerical Methods for Partial Differential Equations 37(3), p.2190-2221, 2020
  
  arXiv:1909.12676 doi:10.1002/num.22678
  bibtex

  @ARTICLE{BlechschmidtHerzogWinkler:2020:1,
    AUTHOR = {Blechschmidt, Jan and Herzog, Roland and Winkler, Max},
    PUBLISHER = {Wiley},
    DATE = {2020-12},
    DOI = {10.1002/num.22678},
    EPRINT = {1909.12676},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Numerical Methods for Partial Differential Equations},
    NUMBER = {3},
    PAGES = {2190--2221},
    TITLE = {Error estimation for second-order partial differential equations in nonvariational form},
    VOLUME = {37},
  }

• Max Winkler
  Error estimates for the finite element approximation of bilinear boundary control problems
  Computational Optimization and Applications 76(1), p.155-199, 2020
  
  doi:10.1007/s10589-020-00171-5
  bibtex

  @ARTICLE{Winkler:2020:1,
    AUTHOR = {Winkler, Max},
    PUBLISHER = {Springer Science and Business Media LLC},
    DATE = {2020-02},
    DOI = {10.1007/s10589-020-00171-5},
    JOURNALTITLE = {Computational Optimization and Applications},
    NUMBER = {1},
    PAGES = {155--199},
    TITLE = {Error estimates for the finite element approximation of bilinear boundary control problems},
    VOLUME = {76},
  }

• Johannes Pfefferer and Max Winkler
  Finite element error estimates for normal derivatives on boundary concentrated meshes
  SIAM Journal on Numerical Analysis 57(5), p.2043-2073, 2019
  
  doi:10.1137/18M1181341
  bibtex

  @ARTICLE{PfeffererWinkler:2019:1,
    AUTHOR = {Pfefferer, Johannes and Winkler, Max},
    DATE = {2019},
    DOI = {10.1137/18M1181341},
    JOURNALTITLE = {SIAM Journal on Numerical Analysis},
    NUMBER = {5},
    PAGES = {2043--2073},
    TITLE = {Finite element error estimates for normal derivatives on boundary concentrated meshes},
    VOLUME = {57},
  }

• Max Winkler
  Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization
  Numerische Mathematik, 2019
  
  doi:10.1007/s00211-019-01091-1
  bibtex

  @ARTICLE{Winkler:2019:1,
    AUTHOR = {Winkler, Max},
    DATE = {2019},
    DOI = {10.1007/s00211-019-01091-1},
    JOURNALTITLE = {Numerische Mathematik},
    TITLE = {Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization},
  }

• Thomas Apel, Sergejs Rogovs, Johannes Pfefferer and Max Winkler
  Maximum norm error estimates for Neumann boundary value problems on graded meshes
  IMA Journal of Numerical Analysis 40(1), p.474-497, 2018
  
  arXiv:1804.10904 doi:10.1093/imanum/dry076
  bibtex

  @ARTICLE{ApelRogovsPfeffererWinkler:2018:1,
    AUTHOR = {Apel, Thomas and Rogovs, Sergejs and Pfefferer, Johannes and Winkler, Max},
    PUBLISHER = {Oxford University Press (OUP)},
    DATE = {2018-12},
    DOI = {10.1093/imanum/dry076},
    EPRINT = {1804.10904},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {IMA Journal of Numerical Analysis},
    NUMBER = {1},
    PAGES = {474--497},
    TITLE = {Maximum norm error estimates for Neumann boundary value problems on graded meshes},
    VOLUME = {40},
  }