Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes
type: Item
instance of: scholarly article
title: Local projection stabilisation for higher order discretisations of convection-diffusion problems on Shishkin meshes
zbMATH Open document ID: 1165.65064
author: Gunar Matthies
published in: Advances in Computational Mathematics
publication date: 2009-05-04T00:00:00Z
review text: The authors consider a singularly perturbed convection-diffusion equation on the unit square where the solution of the problem exhibits exponential bounday layers. They prove both, the boundeness of the error between the solution of the established discrete problem and an interpolant of the solution of the continuous one, and an estimate, in the global energy norm, of the error between the solution of the stabilised discrete problem and the solution of the continuous one.
reviewed by: Constantin Popa
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5550552
zbMATH Keywords: Convection-diffusion problems
zbMATH Keywords: local projection method
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: quadrilateral finite elements
zbMATH Keywords: stabilization
zbMATH Keywords: convection-diffusion equation
zbMATH Keywords: exponential bounday layers
MaRDI profile type: Publication
full work available at URL: s10444-008-9070-y
OpenAlex ID: W1996257128
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DOI: 10.1007/S10444-008-9070-Y
description: scientific article; zbMATH DE number 5550552