A Posteriori Error Estimate and Adaptive Mesh Refinement for the Cell-Centered Finite Volume Method for Elliptic Boundary Value Problems

DOI10.1137/070702126zbMath1188.65148OpenAlexW2001233762MaRDI QIDQ5305924

Christoph Erath, Dirk Praetorius

Publication date: 24 March 2010

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/070702126

zbMATH Keywords

finite volume methodadaptive algorithmLaplace equationelliptic problemsa posteriori error estimateadaptive mesh-refiningmixed Dirichlet-Neumann boundary conditionscell-centered methoddiamond path

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for boundary value problems involving PDEs (65N08)

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