Keller's box-scheme for the one-dimensional stationary convection-diffusion equation
type: Item
instance of: scholarly article
title: Keller's box-scheme for the one-dimensional stationary convection-diffusion equation
zbMATH Open document ID: 1006.65120
published in: Computing
publication date: 2002-06-10T00:00:00Z
review text: A numerical analysis is given, concerning two box-schemes for a stationary convection-diffusion equation, related with the scheme of \textit{H. B. Keller} [Numerical Solution Partial Diff. Equations II, Proc. 2nd Sympos. Numerical Solution Partial Diff. Equations, Synpade 1970, Univ. Maryland, 327-350 (1971; Zbl 0243.65069)]. The one-dimensional case is considered. A first- (fourth)-order accurate scheme is derived. Some applications for flows in porous media are considered. A comparison with the SUPG-finite element method is given.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 1753085
zbMATH Keywords: error bound
zbMATH Keywords: box-schemes
zbMATH Keywords: stationary convection-diffusion equation
zbMATH Keywords: flows in porous media
zbMATH Keywords: comparison
zbMATH Keywords: SUPG-finite element method
author: Jean-Pierre Croisille
reviewed by: Gelu Paşa
MaRDI profile type: Publication
full work available at URL: s006070200002
OpenAlex ID: W1981390525
DOI: 10.1007/S006070200002
description: scientific article; zbMATH DE number 1753085