A posteriori residual error estimation of a cell-centered finite volume method.

DOI10.1016/J.CRMA.2003.10.040zbMath1038.65113OpenAlexW2086927389MaRDI QIDQ1426634

Serge Nicaise

Publication date: 15 March 2004

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2003.10.040

zbMATH Keywords

finite volume methoderror boundLaplace equationHelmholtz decompositionMorley interpolanta posteriori residual error estimator

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Estimations a posteriori d'un schéma de volumes finis pour un problème non linéaire. (A posteriori estimates of a finite volume scheme for a nonlinear problem.)
• Estimateurs a posteriori d'un schéma de volumes finis pour un problème non linéaire
• A posteriori error estimators for nonconforming finite element methods
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