From 2016 to 2024, Fabian was a member of the CPDE group before moving to University College London. His PhD dissertation concerns unfitted finite element methods and how geometric flexibility can be exploited for moving domains.

Research interests

Fabian’s research focuses on Unfitted Finite Element Methods and their application to moving domains.

Higher Order Unfitted Space-Time Methods

Fabian developed unfitted higher-order space-time methods for convection-diffusion problems on moving domains. These allow straightforward handling of complex geometries and offer high flexibility in choosing space and time discretisation orders. A time-dependent isoparametric mapping provides high-order geometry approximation in both space and time.

Key outputs: Preprint · SISC
Collaborators: C. Lehrenfeld, J. Preuß

Ghost-Penalty Stabilization

Work on ghost-penalty stabilization for unfitted FEM on cut cells, ensuring robustness with respect to the cut position.

Thesis

Unfitted Finite Element Methods for Moving Domains, University of Göttingen, 2024.