1 citations · 1 across the 2 of their papers we have counts for
8 papers · 1 filter
Adaptive Iterative Numerical Homogenization for Quasilinear Nonmonotone Elliptic PDE
Maher Khrais, Barbara Verfürth
We propose and analyze an adaptive iterative numerical homogenization method to approximate the solution of a class of quasilinear nonmonotone elliptic problems that is of multisca…
Linearized Localized Orthogonal Decomposition for Quasilinear Nonmonotone Elliptic PDE
Maher Khrais, Barbara Verfürth
In this paper, we propose and analyze a multiscale method for a class of quasilinear elliptic problems of nonmonotone type with spatially multiscale coefficient. The numerical appr…
Offline-online approximation of multiscale eigenvalue problems with random defects
Dilini Kolombage, Barbara Verfürth
In this paper, we consider an elliptic eigenvalue problem with multiscale, randomly perturbed coefficients. For an efficient and accurate approximation of the solutions for many di…
Fully discrete Heterogeneous Multiscale Method for parabolic problems with multiple spatial and temporal scales
Daniel Eckhardt, Barbara Verfürth
The aim of this work is the numerical homogenization of a parabolic problem with several time and spatial scales using the heterogeneous multiscale method. We replace the actual ce…
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…