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Article: Block-Circulant Preconditioners for Systems Arising from Discretization of the Three-Dimensional Convection-Diffusion Equation

TitleBlock-Circulant Preconditioners for Systems Arising from Discretization of the Three-Dimensional Convection-Diffusion Equation
Authors
KeywordsFinite difference method
Linear systems
Mathematical models
Matrix algebra
Problem solving
Issue Date2002
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cam
Citation
Journal of Computational and Applied Mathematics, 2002, v. 140 n. 1-2, p. 143-158 How to Cite?
AbstractWe consider the system of equations arising from finite difference discretization of a three-dimensional convection-diffusion model problem. This system is typically nonsymmetric. The GMRES method with the Strang block-circulant preconditioner is proposed for solving this linear system. We show that our preconditioners are invertible and study the spectra of the preconditioned matrices. Numerical results are reported to illustrate the effectiveness of our methods. © 2002 Elsevier Science B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/223745
ISSN
2015 Impact Factor: 1.328
2015 SCImago Journal Rankings: 1.089

 

DC FieldValueLanguage
dc.contributor.authorCheung, WM-
dc.contributor.authorNg, MK-
dc.date.accessioned2016-03-14T04:01:25Z-
dc.date.available2016-03-14T04:01:25Z-
dc.date.issued2002-
dc.identifier.citationJournal of Computational and Applied Mathematics, 2002, v. 140 n. 1-2, p. 143-158-
dc.identifier.issn0377-0427-
dc.identifier.urihttp://hdl.handle.net/10722/223745-
dc.description.abstractWe consider the system of equations arising from finite difference discretization of a three-dimensional convection-diffusion model problem. This system is typically nonsymmetric. The GMRES method with the Strang block-circulant preconditioner is proposed for solving this linear system. We show that our preconditioners are invertible and study the spectra of the preconditioned matrices. Numerical results are reported to illustrate the effectiveness of our methods. © 2002 Elsevier Science B.V. All rights reserved.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cam-
dc.relation.ispartofJournal of Computational and Applied Mathematics-
dc.subjectFinite difference method-
dc.subjectLinear systems-
dc.subjectMathematical models-
dc.subjectMatrix algebra-
dc.subjectProblem solving-
dc.titleBlock-Circulant Preconditioners for Systems Arising from Discretization of the Three-Dimensional Convection-Diffusion Equation-
dc.typeArticle-
dc.identifier.emailNg, MK: mng@maths.hku.hk-
dc.identifier.doi10.1016/S0377-0427(01)00519-2-
dc.identifier.scopuseid_2-s2.0-0036502357-
dc.identifier.hkuros67200-
dc.identifier.volume140-
dc.identifier.issue1-2-
dc.identifier.spage143-
dc.identifier.epage158-
dc.publisher.placeNetherlands-

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