Error in the upwind differencing of the convection-diffusion equation
type: Item
instance of: scholarly article
title: Error in the upwind differencing of the convection-diffusion equation
zbMATH Open document ID: 0834.65100
DOI: 10.1016/0377-0427(93)E0271-M
author: Farhad Ali
author: D. F. Mayers
published in: Journal of Computational and Applied Mathematics
publication date: 1996-03-31T00:00:00Z
review text: The authors consider the linear convection-diffusion equation for steady- state problems with Dirichlet boundary conditions in one and two dimensions. The boundary value problem is approximated by first-order upwind difference schemes on a locally refined mesh. Error estimates are given. The existence of an asymptotic expansion for the discretization error is established. A difference correction procedure is described. Three numerical examples are given to prove the validity of the presented results.
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 804737
zbMATH Keywords: asymptotic error expansion
zbMATH Keywords: error estimates
zbMATH Keywords: convection-diffusion equation
zbMATH Keywords: first-order upwind difference schemes
zbMATH Keywords: numerical examples
reviewed by: Walter Petry
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 804737