5 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…
Subspace decomposition with defect diffusion coefficient
Dilini Kolombage, Axel Målqvist, Barbara Verfürth
Elliptic diffusion problems with multiscale heterogeneous coefficients lead to poorly conditioned discrete systems and therefore require effective preconditioning strategies. While…
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…
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…