Domain decomposition for a finite volume method on non-matching grids.

DOI10.1016/j.crma.2003.12.014zbMath1038.65136OpenAlexW4300785827MaRDI QIDQ1426632

Frédéric Nataf, Isabelle Faille, Françoise Willien, Laurent Saas

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.2003.12.014

zbMATH Keywords

error estimatesfinite volume discretizationdomain decomposition methodnon-matching gridsRobin interface conditionsDirichlet-Neumann interface conditionsnumericl results

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)

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A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids

Cites Work

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• A new cement to glue non-conforming grids with Robin interface conditions: The finite volume case
• Mixed Finite Element Methods on Nonmatching Multiblock Grids