Hölder estimates for Green's functions on convex polyhedral domains and their applications to finite element methods

DOI10.1007/s00211-009-0213-yzbMath1165.65068OpenAlexW2067267383MaRDI QIDQ1014243

Johnny Guzmán, Dmitriy Leykekhman, Jürgen Rossmann, Alfred H. Schatz

Publication date: 27 April 2009

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-009-0213-y

zbMATH Keywords

Green's functionfinite element methodsoptimal error estimatesdiscontinuous Galerkin methodsbest approximation propertyconvex polyhedral domainsSecond order elliptic equations

Mathematics Subject Classification ID

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)

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