Research Group Inverse Problems

Short Introduction

Florian Oberender
Institute for Numerical and Applied Mathematics
Lotzestraße 16-18
37083 Göttingen

Room 207
Phone 0551 39 24514
j.oberender [at] math.uni-goettingen.de

I am a PhD-student in the Project C01 of the CRC 1456 "Mathematics of Experiment: The challenge of indirect measurements in the natural sciences" supervised by Prof. Dr. Thorsten Hohage and a member in the workgroup Inverse Problems.

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.

  • 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

Submitted papers