79 citations · 258 across the 61 of their papers we have counts for
7 papers · 2 filters
Wavenumber explicit convergence of a multiscale generalized finite element method for heterogeneous Helmholtz problems
Chupeng Ma, Christian Alber, Robert Scheichl
In this paper, a generalized finite element method (GFEM) with optimal local approximation spaces for solving high-frequency heterogeneous Helmholtz problems is systematically stud…
Overlapping Schwarz methods with GenEO coarse spaces for indefinite and non-self-adjoint problems
Niall Bootland, Victorita Dolean, Ivan G. Graham +2
GenEO (`Generalised Eigenvalue problems on the Overlap') is a method for computing an operator-dependent spectral coarse space to be combined with local solves on subdomains to for…
Error estimates for fully discrete generalized FEMs with locally optimal spectral approximations
Chupeng Ma, Robert Scheichl
This paper is concerned with error estimates of the fully discrete generalized finite element method (GFEM) with optimal local approximation spaces for solving elliptic problems wi…
Multilevel Spectral Domain Decomposition
Peter Bastian, Robert Scheichl, Linus Seelinger +1
Highly heterogeneous, anisotropic coefficients, e.g. in the simulation of carbon-fibre composite components, can lead to extremely challenging finite element systems. Direct solver…
GenEO coarse spaces for heterogeneous indefinite elliptic problems
Niall Bootland, Victorita Dolean, Ivan G. Graham +2
Motivated by recent work on coarse spaces for Helmholtz problems, we provide in this paper a comparative study on the use of spectral coarse spaces of GenEO type for heterogeneous…
Novel design and analysis of generalized FE methods based on locally optimal spectral approximations
Chupeng Ma, Robert Scheichl, Tim Dodwell
In this paper, the generalized finite element method (GFEM) for solving second order elliptic equations with rough coefficients is studied. New optimal local approximation spaces f…