Latest publications

• Tommy Etling, Roland Herzog, Estefanía Loayza and Gerd Wachsmuth
  First and second order shape optimization based on restricted mesh deformations
  SIAM Journal on Scientific Computing 42(2), p.A1200-A1225, 2020
  
  arXiv:1810.10313 doi:10.1137/19m1241465
  bibtex

  @ARTICLE{EtlingHerzogLoayzaWachsmuth:2020:1,
    AUTHOR = {Etling, Tommy and Herzog, Roland and Loayza, Estefanía and Wachsmuth, Gerd},
    PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
    DATE = {2020-01},
    DOI = {10.1137/19m1241465},
    EPRINT = {1810.10313},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {SIAM Journal on Scientific Computing},
    NUMBER = {2},
    PAGES = {A1200--A1225},
    TITLE = {First and second order shape optimization based on restricted mesh deformations},
    VOLUME = {42},
  }

• Constantin Christof and Gerd Wachsmuth
  Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators
  Applied Mathematics \& Optimization 81(1), p.23-62, 2019
  
  arXiv:1711.02720 doi:10.1007/s00245-018-09553-y
  bibtex

  @ARTICLE{ChristofWachsmuth:2019:1,
    AUTHOR = {Christof, Constantin and Wachsmuth, Gerd},
    PUBLISHER = {Springer Science and Business Media LLC},
    DATE = {2019-01},
    DOI = {10.1007/s00245-018-09553-y},
    EPRINT = {1711.02720},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Applied Mathematics \& Optimization},
    NUMBER = {1},
    PAGES = {23--62},
    TITLE = {Differential sensitivity analysis of variational inequalities with locally Lipschitz continuous solution operators},
    VOLUME = {81},
  }

• Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez and Gerd Wachsmuth
  Discrete total variation with finite elements and applications to imaging
  Journal of Mathematical Imaging and Vision 61(4), p.411-431, 2019
  
  arXiv:1804.07477 doi:10.1007/s10851-018-0852-7
  bibtex

  @ARTICLE{HerrmannHerzogSchmidtVidalNunezWachsmuth:2019:1,
    AUTHOR = {Herrmann, Marc and Herzog, Roland and Schmidt, Stephan and Vidal-Núñez, José and Wachsmuth, Gerd},
    DATE = {2019},
    DOI = {10.1007/s10851-018-0852-7},
    EPRINT = {1804.07477},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Journal of Mathematical Imaging and Vision},
    NUMBER = {4},
    PAGES = {411--431},
    TITLE = {Discrete total variation with finite elements and applications to imaging},
    VOLUME = {61},
  }

• Gerd Wachsmuth
  A guided tour of polyhedric sets
  Journal of Convex Analysis 26(1), p.153-188, 2019
  
  bibtex

  @ARTICLE{Wachsmuth:2019:1,
    AUTHOR = {Wachsmuth, Gerd},
    DATE = {2019},
    JOURNALTITLE = {Journal of Convex Analysis},
    NUMBER = {1},
    PAGES = {153--188},
    TITLE = {A guided tour of polyhedric sets},
    VOLUME = {26},
  }

• Felix Harder and Gerd Wachsmuth
  Optimality conditions for a class of inverse optimal control problems with partial differential equations
  Optimization 68(2--3), p.615-643, 2018
  
  doi:10.1080/02331934.2018.1495205
  bibtex

  @ARTICLE{HarderWachsmuth:2018:3,
    AUTHOR = {Harder, Felix and Wachsmuth, Gerd},
    PUBLISHER = {Informa UK Limited},
    DATE = {2018-08},
    DOI = {10.1080/02331934.2018.1495205},
    JOURNALTITLE = {Optimization},
    NUMBER = {2--3},
    PAGES = {615--643},
    TITLE = {Optimality conditions for a class of inverse optimal control problems with partial differential equations},
    VOLUME = {68},
  }

• Felix Harder and Gerd Wachsmuth
  The limiting normal cone of a complementarity set in Sobolev spaces
  Optimization, p.1-25, 2018
  
  doi:10.1080/02331934.2018.1484467
  bibtex

  @ARTICLE{HarderWachsmuth:2018:4,
    AUTHOR = {Harder, Felix and Wachsmuth, Gerd},
    PUBLISHER = {Informa UK Limited},
    DATE = {2018-07},
    DOI = {10.1080/02331934.2018.1484467},
    JOURNALTITLE = {Optimization},
    PAGES = {1--25},
    TITLE = {The limiting normal cone of a complementarity set in Sobolev spaces},
  }

• Bernardo González Merino, Thomas Jahn, Alexandr Polyanskii and Gerd Wachsmuth
  Hunting for reduced polytopes
  Discrete \& Computational Geometry 60(3), p.801-808, 2018
  
  arXiv:1701.08629 doi:10.1007/s00454-018-9982-3
  bibtex

  @ARTICLE{GonzalezMerinoJahnPolyanskiiWachsmuth:2018:1,
    AUTHOR = {González Merino, Bernardo and Jahn, Thomas and Polyanskii, Alexandr and Wachsmuth, Gerd},
    PUBLISHER = {Springer Science and Business Media LLC},
    DATE = {2018-03},
    DOI = {10.1007/s00454-018-9982-3},
    EPRINT = {1701.08629},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Discrete \& Computational Geometry},
    NUMBER = {3},
    PAGES = {801--808},
    TITLE = {Hunting for reduced polytopes},
    VOLUME = {60},
  }

• Eduardo Casas, Daniel Wachsmuth and Gerd Wachsmuth
  Second-order analysis and numerical approximation for bang-bang bilinear control problems
  SIAM Journal on Control and Optimization 56(6), p.4203-4227, 2018
  
  doi:10.1137/17m1139953
  bibtex

  @ARTICLE{CasasWachsmuthWachsmuth:2018:1,
    AUTHOR = {Casas, Eduardo and Wachsmuth, Daniel and Wachsmuth, Gerd},
    PUBLISHER = {Society for Industrial and Applied Mathematics (SIAM)},
    DATE = {2018-01},
    DOI = {10.1137/17m1139953},
    JOURNALTITLE = {SIAM Journal on Control and Optimization},
    NUMBER = {6},
    PAGES = {4203--4227},
    TITLE = {Second-order analysis and numerical approximation for bang-bang bilinear control problems},
    VOLUME = {56},
  }