3 papers
math.NA2026
Variational data assimilation for the wave equation in heterogeneous media: Numerical investigation of stability
Erik Burman, Janosch Preuss, Tim van Beeck
In recent years, several numerical methods for solving the unique continuation problem for the wave equation in a homogeneous medium with given data on the lateral boundary of the…
math.NA2025
Unique continuation for the wave equation: the stability landscape
Erik Burman, Lauri Oksanen, Janosch Preuss +1
We consider a unique continuation problem for the wave equation given data in a volumetric subset of the space time domain. In the absence of data on the lateral boundary of the sp…
math.NA2025
Discretization Error Analysis of a High Order Unfitted Space-Time Method for moving domain problems
Fabian Heimann, Christoph Lehrenfeld, Janosch PreuÃ
We present a numerical analysis of a higher order unfitted space-time Finite Element method applied to a convection-diffusion model problem posed on a moving bulk domain. The metho…