A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
type: Item
instance of: scholarly article
title: A uniformly convergent Galerkin method on a Shishkin mesh for a convection-diffusion problem
zbMATH Open document ID: 0917.65088
author: Martin Stynes
author: Eugene O'Riordan
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-02-09T00:00:00Z
review text: Two results on convergence uniform in the singular perturbation parameter are given for a singularly perturbed linear elliptic boundary value problem in two dimensions. Their error bounds are of order (i) \((\ln N/N)\) in a global energy norm and (ii) \((\ln N)^{3/2}/\sqrt N\) pointwise near the outflow boundary.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 1115500
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: convection-diffusion problem
zbMATH Keywords: convergence
zbMATH Keywords: singular perturbation
zbMATH Keywords: error bounds
reviewed by: S. K. Rangarajan
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5581
OpenAlex ID: W2023502036
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DOI: 10.1006/JMAA.1997.5581
description: scientific article; zbMATH DE number 1115500