5 papers · 1 filter
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…
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…
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…
Unique continuation for an elliptic interface problem using unfitted isoparametric finite elements
Erik Burman, Janosch Preuss
We study unique continuation over an interface using a stabilized unfitted finite element method tailored to the conditional stability of the problem. The interface is approximated…
Unique continuation for the wave equation based on a discontinuous Galerkin time discretization
Erik Burman, Janosch Preuss
We consider a stable unique continuation problem for the wave equation where the initial data is lacking and the solution is reconstructed using measurements in some subset of the…