Application of the over-set grid technique to a model singular perturbation problem
type: Item
instance of: scholarly article
title: Application of the over-set grid technique to a model singular perturbation problem
zbMATH Open document ID: 0986.65119
author: E. D. Havik
author: P. W. Hemker
author: Walter Hoffmann
published in: Computing
publication date: 2002-05-28T00:00:00Z
full work available at URL: https://ir.cwi.nl/pub/1155
review text: A 2D model problem for the stationary convection-diffusion equation is considered (which may become a benchmark problem due to its simple description and the rather complicated solution behaviour). The authors propose to use over-set grids, i.e. several rectangular grids set above each other (possibly turned against each other), and to discretize the problem by central differences. Whereas the total number of grid points was kept constant, the grid spacing is adapted (using the known asymptotic behaviour of the solution in its different parts); moreover, a priority ranking for the different over-set grids is shown to be important. The more sophisticated grids improve the solution essentially but do not lead to \(\epsilon\)-uniform convergence.
reviewed by: Gisbert Stoyan
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1582207
zbMATH Keywords: convection-diffusion problem
zbMATH Keywords: over-set grids
zbMATH Keywords: grid ranking
zbMATH Keywords: singular perturbation
zbMATH Keywords: convergence
describes a project that uses: Overture
MaRDI profile type: Publication
OpenAlex ID: W2081551710
DOI: 10.1007/S006070070004
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description: scientific article; zbMATH DE number 1582207