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Fast-convergent two-level restricted additive Schwarz methods based on optimal local approximation spaces
Arne Strehlow, Chupeng Ma, Robert Scheichl
This paper proposes a two-level restricted additive Schwarz (RAS) method for multiscale PDEs, built on top of a multiscale spectral generalized finite element method (MS-GFEM). The…
A Mixed Multiscale Spectral Generalized Finite Element Method
Christian Alber, Chupeng Ma, Robert Scheichl
We present a multiscale mixed finite element method for solving second order elliptic equations with general -coefficients arising from flow in highly heterogeneous por…
Efficient Multigrid Preconditioners for Atmospheric Flow Simulations at High Aspect Ratio
Andreas Dedner, Eike Hermann Müller, Robert Scheichl
Many problems in fluid modelling require the efficient solution of highly anisotropic elliptic partial differential equations (PDEs) in "flat" domains. For example, in numerical we…