4 papers
A multiscale method for heterogeneous bulk-surface coupling
Robert Altmann, Barbara Verfürth
In this paper, we construct and analyze a multiscale (finite element) method for parabolic problems with heterogeneous dynamic boundary conditions. As origin, we consider a reformu…
A generalized finite element method for problems with sign-changing coefficients
Théophile Chaumont-Frelet, Barbara Verfürth
Problems with sign-changing coefficients occur, for instance, in the study of transmission problems with metamaterials. In this work, we present and analyze a generalized finite el…
Numerical homogenization for nonlinear strongly monotone problems
Barbara Verfürth
In this work we introduce and analyze a new multiscale method for strongly nonlinear monotone equations in the spirit of the Localized Orthogonal Decomposition. A problem-adapted m…
Computational high frequency scattering from high contrast heterogeneous media
Daniel Peterseim, Barbara Verfürth
This article considers the computational (acoustic) wave propagation in strongly heterogeneous structures beyond the assumption of periodicity. A high contrast between the constitu…