Institute for Numerical and Applied Mathematics - Research Group Inverse Problems



Short Introduction



Research Interests


  • Inverse problems on operator spaces
  • Density matrix reconstruction
  • Numerical methods for PDEs (Finite Elements)
  • Plasmonics simulations



Conference talks


  • WCCM 2024 in Vancouver. Title: "A new numerical method for scalar eigenvalue problems in heterogeneous, dispersive, sign-changing materials"
  • WAVES 2024 in Berlin. Title: "A new numerical method for scalar eigenvalue problems in heterogeneous, dispersive, sign-changing materials"
  • Austrian Numerical Analysis Day 2023 in Vienna. Title: "Discretization of scalar partial differential equations with sign-changing coefficients"



Publications




    Refereed journal papers


    The linked pdf-files do not necessarily coincide with the article's published version.





    Submitted papers


    • Halla, Martin, Oberender, Florian. 2025. On the instabilities of naive FEM discretizations for PDEs with sign-changing coefficients. arXiv preprint arXiv:2504.07712.download
    • Halla, Martin, Hohage, Thorsten, Oberender, Florian. 2024. A new numerical method for scalar eigenvalue problems in heterogeneous, dispersive, sign-changing materials. arXiv preprint arXiv:2401.16368.download



    BibTeX-file