On the Convergence Rates of GMsFEMs for Heterogeneous Elliptic Problems Without Oversampling Techniques

DOI10.1137/18M1172715zbMath1426.65179arXiv1802.08873MaRDI QIDQ5197622

Guanglian Li

Publication date: 19 September 2019

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.08873

zbMATH Keywords

multiscale methodshigh-contrastGMsFEMspectral basisheterogeneous coefficientharmonic extension basis functions

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Integral representations of solutions to PDEs (35C15) Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80) Connections of harmonic functions with differential equations in two dimensions (31A35)

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