Multiscale methods with compactly supported radial basis functions for Galerkin approximation of elliptic PDEs

DOI10.1093/imanum/drt004zbMath1293.65149arXiv1211.1431OpenAlexW2963822080MaRDI QIDQ5416816

Andrew Chernih, Quoc Thong Le Gia

Publication date: 15 May 2014

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.1431

zbMATH Keywords

algorithmconvergenceGalerkin methodnumerical experimentsradial basis functionserror estimatemultiscale methodPoisson equationmeshless methodslinear elliptic second-order equation

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

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