A uniformly accurate finite volume discretization for a convection-diffusion problem
type: Item
instance of: scholarly article
title: A uniformly accurate finite volume discretization for a convection-diffusion problem
zbMATH Open document ID: 1024.65108
author: Dirk Wollstein
author: Torsten Linss
author: Hans-G. Roos
publication date: 2003-11-06T00:00:00Z
full work available at URL: https://eudml.org/doc/123015
full work available at URL: pp1-11.html
review text: A singularly perturbed convection-diffusion problem is discretized by an inverse-monotone finite volume method on Shishkin meshes. First-order convergence in a global energy norm and a mesh-dependent discrete energy norm is established no matter how small is the perturbation parameter.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1893802
zbMATH Keywords: convection-diffusion problems
zbMATH Keywords: finite volume methods
zbMATH Keywords: singular perturbation
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: convergence
reviewed by: Plamen Yalamov
MaRDI profile type: Publication
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published in: ETNA - Electronic Transactions on Numerical Analysis
description: scientific article; zbMATH DE number 1893802