Error estimate for a 1D-2D finite volume scheme. Comparison with a standard scheme on a 2D non-admissible mesh

DOI10.1016/J.CRMA.2013.01.011zbMath1261.65110OpenAlexW2065726474MaRDI QIDQ1942077

Marie-Claude Viallon

Publication date: 15 March 2013

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.2013.01.011

zbMATH Keywords

error estimatePoisson equation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (4)

Parallel 3D ADI Scheme for Partially Dimension Reduced Heat Conduction Problem ⋮ ADI scheme for partially dimension reduced heat conduction models ⋮ Finite volume implementation of the method of asymptotic partial domain decomposition for the heat equation on a thin structure ⋮ Error estimate for a finite volume scheme in a geometrical multi-scale domain

Cites Work

• Unnamed Item
• A control volume method to solve an elliptic equation on a two- dimensional irregular mesh
• The finite volume implementation of the partial asymptotic domain decomposition
• METHOD OF ASYMPTOTIC PARTIAL DECOMPOSITION OF DOMAIN
• The Lions domain decomposition algorithm on non-matching cell-centred finite volume meshes
• A finite volume method for the Laplace equation on almost arbitrary two-dimensional grids

This page was built for publication: Error estimate for a 1D-2D finite volume scheme. Comparison with a standard scheme on a 2D non-admissible mesh