3 papers
math.NA2023
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…
math.NA2023
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…
math.NA2021
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…