2 papers
math.NA2025
Analysis and numerical analysis of the Helmholtz-Korteweg equation
Patrick E. Farrell, Tim van Beeck, Umberto Zerbinati
We analyse the nematic Helmholtz-Korteweg equation, a variant of the classical Helmholtz equation that describes time-harmonic wave propagation in calamitic fluids in the presence…
math.NA2023
Analysis of divergence-preserving unfitted finite element methods for the mixed Poisson problem
Christoph Lehrenfeld, Tim van Beeck, Igor Voulis
In this paper we present a new H(div)-conforming unfitted finite element method for the mixed Poisson problem which is robust in the cut configuration and preserves conservation pr…