Last Publications

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

  BibLaTeX

  @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},
  }

• Error estimation for second-order partial differential equations in nonvariational form Article
  Jan Blechschmidt, Roland Herzog and Max Winkler
  Numerical Methods for Partial Differential Equations 37(3), p.2190-2221 · 2021
  arXiv:1909.12676 doi:10.1002/num.22678

  BibLaTeX

  @ARTICLE{BlechschmidtHerzogWinkler:2020:1,
    AUTHOR = {Blechschmidt, Jan and Herzog, Roland and Winkler, Max},
    PUBLISHER = {Wiley},
    DATE = {2021-05},
    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},
  }

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

  BibLaTeX

  @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},
  }

• Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization Article
  Max Winkler
  Numerische Mathematik 144(2), p.413-445 · 2020
  doi:10.1007/s00211-019-01091-1

  BibLaTeX

  @ARTICLE{Winkler:2019:1,
    AUTHOR = {Winkler, Max},
    DATE = {2020-02},
    DOI = {10.1007/s00211-019-01091-1},
    JOURNALTITLE = {Numerische Mathematik},
    NUMBER = {2},
    PAGES = {413--445},
    TITLE = {Error estimates for variational normal derivatives and Dirichlet control problems with energy regularization},
    VOLUME = {144},
  }

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

  BibLaTeX

  @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},
  }

• Maximum norm error estimates for Neumann boundary value problems on graded meshes Article
  Thomas Apel, Sergejs Rogovs, Johannes Pfefferer and Max Winkler
  IMA Journal of Numerical Analysis 40(1), p.474-497 · 2020
  arXiv:1804.10904 doi:10.1093/imanum/dry076

  BibLaTeX

  @ARTICLE{ApelRogovsPfeffererWinkler:2018:1,
    AUTHOR = {Apel, Thomas and Rogovs, Sergejs and Pfefferer, Johannes and Winkler, Max},
    PUBLISHER = {Oxford University Press (OUP)},
    DATE = {2020-01},
    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},
  }

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

  BibLaTeX

  @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},
  }