4 papers · 1 filter
Error analysis of an implicit-explicit time discretization scheme for semilinear wave equations with application to multiscale problems
Daniel Eckhardt, Marlis Hochbruck, Barbara Verfürth
We present an implicit-explicit (IMEX) scheme for semilinear wave equations with strong damping. By treating the nonlinear, nonstiff term explicitly and the linear, stiff part impl…
Statistical Variational Data Assimilation
Amina Benaceur, Barbara Verfürth
This paper is a contribution in the context of variational data assimilation combined with statistical learning. The framework of data assimilation traditionally uses data collecte…
Wave propagation in high-contrast media: periodic and beyond
Élise Fressart, Barbara Verfürth
This work is concerned with the classical wave equation with a high-contrast coefficient in the spatial derivative operator. We first treat the periodic case, where we derive a new…
Numerical upscaling for wave equations with time-dependent multiscale coefficients
Bernhard Maier, Barbara Verfürth
In this paper, we consider the classical wave equation with time-dependent, spatially multiscale coefficients. We propose a fully discrete computational multiscale method in the sp…