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Article: A Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations

TitleA Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations
Authors
KeywordsKrylov subspace method
Navier-Stokes equations
Oseen problem
Saddle point problem
Dimensional Factorization
Dimensional Splitting
Issue Date2011
Citation
Journal of Computational Physics, 2011, v. 230, n. 16, p. 6185-6202 How to Cite?
AbstractIn this paper we introduce a Relaxed Dimensional Factorization (RDF) preconditioner for saddle point problems. Properties of the preconditioned matrix are analyzed and compared with those of the closely related Dimensional Splitting (DS) preconditioner recently introduced by Benzi and Guo [7]. Numerical results for a variety of finite element discretizations of both steady and unsteady incompressible flow problems indicate very good behavior of the RDF preconditioner with respect to both mesh size and viscosity. © 2011 Elsevier Inc.
Persistent Identifierhttp://hdl.handle.net/10722/276898
ISSN
2021 Impact Factor: 4.645
2020 SCImago Journal Rankings: 1.882
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorBenzi, Michele-
dc.contributor.authorNg, Michael-
dc.contributor.authorNiu, Qiang-
dc.contributor.authorWang, Zhen-
dc.date.accessioned2019-09-18T08:34:59Z-
dc.date.available2019-09-18T08:34:59Z-
dc.date.issued2011-
dc.identifier.citationJournal of Computational Physics, 2011, v. 230, n. 16, p. 6185-6202-
dc.identifier.issn0021-9991-
dc.identifier.urihttp://hdl.handle.net/10722/276898-
dc.description.abstractIn this paper we introduce a Relaxed Dimensional Factorization (RDF) preconditioner for saddle point problems. Properties of the preconditioned matrix are analyzed and compared with those of the closely related Dimensional Splitting (DS) preconditioner recently introduced by Benzi and Guo [7]. Numerical results for a variety of finite element discretizations of both steady and unsteady incompressible flow problems indicate very good behavior of the RDF preconditioner with respect to both mesh size and viscosity. © 2011 Elsevier Inc.-
dc.languageeng-
dc.relation.ispartofJournal of Computational Physics-
dc.subjectKrylov subspace method-
dc.subjectNavier-Stokes equations-
dc.subjectOseen problem-
dc.subjectSaddle point problem-
dc.subjectDimensional Factorization-
dc.subjectDimensional Splitting-
dc.titleA Relaxed Dimensional Factorization preconditioner for the incompressible Navier-Stokes equations-
dc.typeArticle-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.jcp.2011.04.001-
dc.identifier.scopuseid_2-s2.0-79957551863-
dc.identifier.volume230-
dc.identifier.issue16-
dc.identifier.spage6185-
dc.identifier.epage6202-
dc.identifier.eissn1090-2716-
dc.identifier.isiWOS:000292365800001-
dc.identifier.issnl0021-9991-

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