Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh
type: Item
instance of: scholarly article
title: Richardson extrapolation for a convection--diffusion problem using a Shishkin mesh
zbMATH Open document ID: 1019.65053
DOI: 10.1016/S0168-9274(02)00212-X
author: Maria Caridad Natividad
author: Martin Stynes
published in: Applied Numerical Mathematics
publication date: 2003-05-22T00:00:00Z
review text: For the solution of a linear two-point convection-diffusion boundary value problem the authors consider a simple upwind scheme on a piecewise uniform Shishkin type mesh. An application of Richardson's extrapolation principle improves the convergence rate in the discrete \(L_\infty\) norm from \(O(N^{-1} \ln N)\) to \(O(N^{-2} \ln^2 N)\).
reviewed by: Kai Diethelm
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65L50
zbMATH DE Number: 1915297
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: convection-diffusion problem
zbMATH Keywords: Richardson's extrapolation
zbMATH Keywords: boundary layer
zbMATH Keywords: upwind scheme
zbMATH Keywords: two-point boundary value problem
zbMATH Keywords: convergence
MaRDI profile type: Publication
cites work: Q4485828
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cites work: The midpoint upwind scheme
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full work available at URL: s0168-9274(02)00212-x
OpenAlex ID: W2123695724
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description: scientific article; zbMATH DE number 1915297