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math.AP2021
Nonlinear Helmholtz equations with sign-changing diffusion coefficient
Rainer Mandel, Zoïs Moitier, Barbara Verfürth
In this paper we study nonlinear Helmholtz equations with sign-changing diffusion coefficients on bounded domains. The existence of an orthonormal basis of eigenfunctions is establ…
math.NA2021
An offline-online strategy for multiscale problems with random defects
Axel Målqvist, Barbara Verfürth
In this paper, we propose an offline-online strategy based on the Localized Orthogonal Decomposition (LOD) method for elliptic multiscale problems with randomly perturbed diffusion…