Latest publications

• Roland Herzog and Estefanía Loayza-Romero
  A discretize-then-optimize approach to PDE-constrained shape optimization
  ESAIM: Control, Optimisation and Calculus of Variations, 2023
  
  arXiv:2109.00076 doi:10.1051/cocv/2023071
  bibtex

  @ARTICLE{HerzogLoayzaRomero:2023:1,
    AUTHOR = {Herzog, Roland and Loayza-Romero, Estefanía},
    PUBLISHER = {EDP Sciences},
    DATE = {2023-10},
    DOI = {10.1051/cocv/2023071},
    EPRINT = {2109.00076},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {ESAIM: Control, Optimisation and Calculus of Variations},
    TITLE = {A discretize-then-optimize approach to PDE-constrained shape optimization},
  }

• Roland Herzog and Estefanía Loayza-Romero
  A manifold of planar triangular meshes with complete Riemannian metric
  Mathematics of Computation 92(339), p.1-50, 2022
  
  arXiv:2012.05624 doi:10.1090/mcom/3775
  bibtex

  @ARTICLE{HerzogLoayzaRomero:2022:1,
    AUTHOR = {Herzog, Roland and Loayza-Romero, Estefanía},
    PUBLISHER = {American Mathematical Society (AMS)},
    DATE = {2022-09},
    DOI = {10.1090/mcom/3775},
    EPRINT = {2012.05624},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {Mathematics of Computation},
    NUMBER = {339},
    PAGES = {1--50},
    TITLE = {A manifold of planar triangular meshes with complete Riemannian metric},
    VOLUME = {92},
  }

• Karen Estefanía Loayza Romero
  A Discrete Perspective on PDE-Constrained Shape Optimization Problems
  2022
  
  doi:10.11588/heidok.00031378
  bibtex

  @THESIS{LoayzaRomero:2022:1,
    AUTHOR = {Loayza Romero, Karen Estefanía},
    INSTITUTION = {Heidelberg University},
    DATE = {2022-03-11},
    DOI = {10.11588/heidok.00031378},
    TITLE = {A Discrete Perspective on PDE-Constrained Shape Optimization Problems},
    TYPE = {phdthesis},
  }

• Caroline Geiersbach, Estefanía Loayza-Romero and Kathrin Welker
  Stochastic approximation for optimization in shape spaces
  SIAM Journal on Optimization 31(1), p.348-376, 2021
  
  arXiv:2001.10786 doi:10.1137/20M1316111
  bibtex

  @ARTICLE{GeiersbachLoayzaRomeroWelker:2021:1,
    AUTHOR = {Geiersbach, Caroline and Loayza-Romero, Estefanía and Welker, Kathrin},
    PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)},
    DATE = {2021-01},
    DOI = {10.1137/20M1316111},
    EPRINT = {2001.10786},
    EPRINTTYPE = {arXiv},
    JOURNALTITLE = {SIAM Journal on Optimization},
    NUMBER = {1},
    PAGES = {348--376},
    TITLE = {Stochastic approximation for optimization in shape spaces},
    VOLUME = {31},
  }

• 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},
  }

• Ronny Bergmann, Roland Herzog, Estefanía Loayza-Romero and Kathrin Welker
  Shape optimization: what to do first, optimize or discretize?
  Proceedings in Applied Mathematics and Mechanics 19(1), 2019
  
  doi:10.1002/pamm.201900067
  bibtex

  @ARTICLE{BergmannHerzogLoayzaRomeroWelker:2019:1,
    AUTHOR = {Bergmann, Ronny and Herzog, Roland and Loayza-Romero, Estefanía and Welker, Kathrin},
    PUBLISHER = {Wiley},
    DATE = {2019},
    DOI = {10.1002/pamm.201900067},
    JOURNALTITLE = {Proceedings in Applied Mathematics and Mechanics},
    NUMBER = {1},
    TITLE = {Shape optimization: what to do first, optimize or discretize?},
    VOLUME = {19},
  }

• Caroline Geiersbach, Estefanía Loayza and Kathrin Welker
  Computational aspects for interface identification problems with stochastic modelling
  2019
  
  arXiv:1902.01160
  bibtex

  @ONLINE{GeiersbachLoayzaWelker:2019:1,
    AUTHOR = {Geiersbach, Caroline and Loayza, Estefanía and Welker, Kathrin},
    DATE = {2019},
    EPRINT = {1902.01160},
    EPRINTTYPE = {arXiv},
    TITLE = {Computational aspects for interface identification problems with stochastic modelling},
  }

• Juan Carlos de los Reyes and Estefanía Loayza-Romero
  Total generalized variation regularization in data assimilation for Burgers' equation
  Inverse Problems and Imaging 13(4), p.755-786, 2019
  
  doi:10.3934/ipi.2019035
  bibtex

  @ARTICLE{DeLosReyesLoayzaRomero:2019:1,
    AUTHOR = {de los Reyes, Juan Carlos and Loayza-Romero, Estefanía},
    DATE = {2019},
    DOI = {10.3934/ipi.2019035},
    JOURNALTITLE = {Inverse Problems and Imaging},
    NUMBER = {4},
    PAGES = {755--786},
    TITLE = {Total generalized variation regularization in data assimilation for Burgers' equation},
    VOLUME = {13},
  }