A new approach to energy-based sparse finite-element spaces

DOI10.1093/imanum/drm041zbMath1159.65095OpenAlexW2051553803MaRDI QIDQ3600856

Radu Alexandru Todor

Publication date: 6 February 2009

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

Full work available at URL: http://doc.rero.ch/record/290653/files/drm041.pdf

zbMATH Keywords

convergencesparse gridserror estimateenergy normmultilevel methodsbounded Lipschitz domainsparsificationmultiscale basisanisotropic Sobolev scalepenalized sparse grid conditionsparse finite-element spaces

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) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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