Schwarz methods for convection-diffusion problems

H. Macmullen, E. O’Riordan, G. I. Shishkin

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Various variants of Schwarz methods for a singularly perturbed two dimensional stationary convection-diffusion problem are constructed and analysed. The iteration counts, the errors in the discrete solutions and the convergence behaviour of the numerical solutions are analysed in terms of their dependence on the singular perturbation parameter of the Schwarz methods. Conditions for the methods to converge parameter uniformly and for the number of iterations to be independent of the perturbation parameter are discussed.

Original languageEnglish
Title of host publicationNumerical Analysis and Its Applications - 2nd International Conference, NAA 2000, Revised Papers
EditorsLubin Vulkov, Plamen Yalamov, Jerzy Waniewski
PublisherSpringer Verlag
Pages544-551
Number of pages8
ISBN (Print)9783540418146
DOIs
Publication statusPublished - 2001
Externally publishedYes
Event2nd International Conference on Numerical Analysis and Its Applications, NAA 2000 - Rousse, Bulgaria
Duration: 11 Jun 200015 Jun 2000

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1988
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference2nd International Conference on Numerical Analysis and Its Applications, NAA 2000
Country/TerritoryBulgaria
CityRousse
Period11/06/0015/06/00

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