Latest publications

  • A discretize-then-optimize approach to PDE-constrained shape optimization
    ESAIM: Control, Optimisation and Calculus of Variations, 2023
    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},
    }
  • A manifold of planar triangular meshes with complete Riemannian metric
    Mathematics of Computation 92(339), p.1-50, 2022
    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},
    }
  • A Discrete Perspective on PDE-Constrained Shape Optimization Problems, 2022
    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
    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},
    }
  • First and second order shape optimization based on restricted mesh deformations
    SIAM Journal on Scientific Computing 42(2), p.A1200-A1225, 2020
    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},
    }
  • Caroline Geiersbach, Estefanía Loayza and Kathrin Welker
    Computational aspects for interface identification problems with stochastic modelling, 2019
    bibtex
    @ONLINE{GeiersbachLoayzaWelker:2019:1,
      AUTHOR = {Geiersbach, Caroline and Loayza, Estefanía and Welker, Kathrin},
      DATE = {2019-02},
      EPRINT = {1902.01160},
      EPRINTTYPE = {arXiv},
      TITLE = {Computational aspects for interface identification problems with stochastic modelling},
    }
  • Shape optimization: what to do first, optimize or discretize?
    Proceedings in Applied Mathematics and Mechanics 19(1), 2019
    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},
    }
  • 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
    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},
    }