A Posteriori Error Estimation for the Discrete Duality Finite Volume Discretization of the Laplace Equation

DOI10.1137/080735047zbMath1201.65199OpenAlexW2082695784MaRDI QIDQ3584624

Yohan Penel, Yann Rosenbaum, Pascal Omnes

Publication date: 30 August 2010

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

Full work available at URL: https://hal-cea.archives-ouvertes.fr/cea-00320486v2/file/aposteriori_ddfv_version2.pdf

zbMATH Keywords

finite volume methodnumerical examplesfinite elementLaplace equationa posteriori error estimationnonconforming meshesdiscrete duality

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (2)

Adaptive multistep time discretization and linearization based on a posteriori error estimates for the Richards equation ⋮ Ana posteriorierror estimation for the discrete duality finite volume discretization of the Stokes equations

This page was built for publication: A Posteriori Error Estimation for the Discrete Duality Finite Volume Discretization of the Laplace Equation