The streamline-diffusion method for a convection--diffusion problem with a point source
type: Item
instance of: scholarly article
title: The streamline-diffusion method for a convection--diffusion problem with a point source
zbMATH Open document ID: 1016.65054
DOI: 10.1016/S0377-0427(02)00568-X
author: Helena Zarin
author: Hans-G. Roos
published in: Journal of Computational and Applied Mathematics
publication date: 2003-03-12T00:00:00Z
review text: The authors study a singularly perturbed convection-diffusion problem with a point source. This problem is solved by applying the streamline-diffusion finite element method to a class of Shishkin-type meshes. This approach enables the authors to prove pointwise error estimates, as well as the existence of superconvergent points for the first derivative. Numerical experiments support the abstract results contained in the paper.
reviewed by: Vicenţiu D. Rădulescu
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 1880339
zbMATH Keywords: convection-diffusion problem
zbMATH Keywords: singular perturbation
zbMATH Keywords: superconvergence
zbMATH Keywords: finite element method
zbMATH Keywords: Shishkin-type meshes
zbMATH Keywords: error estimates
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
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full work available at URL: s0377-0427(02)00568-x
OpenAlex ID: W2100813921
description: scientific article; zbMATH DE number 1880339