Quasi-optimal rates of convergence for the generalized finite element method in polygonal domains

DOI10.1016/j.cam.2013.12.026zbMath1295.65115OpenAlexW2021474053MaRDI QIDQ2252432

Anna L. Mazzucato, Qingqin Qu, Victor Nistor

Publication date: 17 July 2014

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2013.12.026

zbMATH Keywords

discontinuous coefficientsweighted Sobolev spaceerror boundsGalerkin approximationspolygonal domainoptimal rate of convergencegeneralized finite elementpartition of unit

Mathematics Subject Classification ID

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) PDEs with low regular coefficients and/or low regular data (35R05)

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