Computational PDEs

I am a Ph.D. student supervised by Christoph Lehrenfeld (since 04/2024) and a member of the CRC 1456. My thesis is on the numerical analysis of time-harmonic wave problems (T-coercivity, Galbrun’s equation, Helmholtz–Korteweg). My research currently focuses on numerical methods for Galbrun’s equation, a PDE that models the propagation of waves in the Sun. I also work on the numerical analysis of the nematic Helmholtz–Korteweg equation, which models acoustic waves in nematic liquid crystals. I previously wrote my Master’s thesis on discontinuous Galerkin discretizations for Galbrun’s equation and my Bachelor’s thesis on a DG discretization for a degenerate diffusion equation, and I have contributed to a project on unfitted mixed finite element methods.

From October to December 2026 I am on a research stay at the University of Oxford with Patrick Farrell and Umberto Zerbinati, funded by a DAAD research fellowship. I have been selected as a GAMM Junior for 2027–2029.

Selected publications

See the publications page for the full, automatically generated list. Recent highlights:

  • Releasing the pressure: high-order surface flow discretizations via discrete Helmholtz–Hodge decompositions (2026, with T. Brüers, C. Lehrenfeld, M. Wardetzky).
  • Pressure-robustness for the axisymmetric Stokes problem by velocity reconstruction (2026, with P. L. Lederer, C. Lehrenfeld, C. Merdon).
  • Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun’s equation (2025, with M. Halla, C. Lehrenfeld).
  • Analysis and numerical analysis of the Helmholtz–Korteweg equation (2025, with P. E. Farrell, U. Zerbinati).