An adaptive discontinuous finite volume method for elliptic problems
type: Item
instance of: scholarly article
title: An adaptive discontinuous finite volume method for elliptic problems
zbMATH Open document ID: 1227.65101
author: Jiangguo Liu
author: Lin Mu
author: Xiu Ye
published in: Journal of Computational and Applied Mathematics
publication date: 2011-10-10T00:00:00Z
review text: Based on a residual a posteriori error estimator, previously introduced, the authors establish the convergence of an adaptive scheme for the discontinuous finite volume method. They consider a homogeneous Dirichlet boundary value problem for the Laplace equation and carry out some numerical experiments on an L shape domain.
Mathematics Subject Classification ID: 65N08
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N12
zbMATH DE Number: 5955998
zbMATH Keywords: adaptive mesh refinements
zbMATH Keywords: a posteriori error estimator
zbMATH Keywords: convergence
zbMATH Keywords: discontinuous finite volume method
zbMATH Keywords: homogeneous Dirichlet boundary value problem
zbMATH Keywords: Laplace equation
zbMATH Keywords: numerical experiments
reviewed by: Calin Ioan Gheorghiu
describes a project that uses: AFEM@matlab
MaRDI profile type: Publication
full work available at URL: j.cam.2011.05.051
OpenAlex ID: W1979656672
Wikidata QID: Q62727813
cites work: Convergence Analysis of an Adaptive Interior Penalty Discontinuous Galerkin Method
cites work: Convergence of Adaptive Finite Element Methods
cites work: A posteriori error estimation and adaptive mesh-refinement techniques
cites work: A Note on Constant-Free A Posteriori Error Estimates
cites work: A posterior error estimate for finite volume methods of the second order elliptic problem
cites work: A posteriorierror analysis of a cell-centered finite volume method for semilinear elliptic problems
cites work: Convergence of Adaptive Discontinuous Galerkin Approximations of Second‐Order Elliptic Problems
cites work: Q4801486
cites work: A New Discontinuous Finite Volume Method for Elliptic Problems
cites work: Real Interpolation of Sobolev Spaces on Subdomains of Rn
cites work: The Mathematical Theory of Finite Element Methods
cites work: Adaptive finite element methods with convergence rates
cites work: Q4215356
cites work: A posteriori error control for a weakly over-penalized symmetric interior penalty method
cites work: A weakly over-penalized symmetric interior penalty method
DOI: 10.1016/J.CAM.2011.05.051
description: scientific article; zbMATH DE number 5955998