14 citations · 18 across the 9 of their papers we have counts for
12 papers
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…
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…
Discretization Error Analysis of a High Order Unfitted Space-Time Method for moving domain problems
Fabian Heimann, Christoph Lehrenfeld, Janosch Preuß
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 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…
Learned infinite elements for helioseismology -- Learning transparent boundary conditions for the solar atmosphere
Damien Fournier, Janosch Preuss, Thorsten Hohage +1
Context. Acoustic waves in the Sun are affected by the atmospheric layers, but this region is often ignored in forward models due to the increase in computational cost. Aims. The p…
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…
Data assimilation finite element method for the linearized Navier-Stokes equations with higher order polynomial approximation
Erik Burman, Deepika Garg, Janosch Preuss
In this article, we design and analyze an arbitrary-order stabilized finite element method to approximate the unique continuation problem for laminar steady flow described by the l…
Unique continuation for the Lamé system using stabilized finite element methods
Erik Burman, Janosch Preuss
We introduce an arbitrary order, stabilized finite element method for solving a unique continuation problem subject to the time-harmonic elastic wave equation with variable coeffic…
Geometrically Higher Order Unfitted Space-Time Methods for PDEs on Moving Domains
Fabian Heimann, Christoph Lehrenfeld, Janosch Preuß
In this paper, we propose new geometrically unfitted space-time Finite Element methods for partial differential equations posed on moving domains of higher order accuracy in space…
Learned infinite elements
Thorsten Hohage, Christoph Lehrenfeld, Janosch Preuss
We study the numerical solution of scalar time-harmonic wave equations on unbounded domains which can be split into a bounded interior domain of primary interest and an exterior do…
Sweeping preconditioners for stratified media in the presence of reflections
Janosch Preuß, Thorsten Hohage, Christoph Lehrenfeld
In this paper we consider sweeping preconditioners for time harmonic wave propagation in stratified media, especially in the presence of reflections. In the most famous class of sw…
A Machian Version of Einstein's Variable Speed of Light Theory
Alexander Unzicker, Jan Preuss
It is a little known fact that while he was developing his theory of general relativity, Einstein's initial idea was a variable speed of light theory. Indeed space-time curvature c…