%0 Journal Article %1 tan2012relaxed %A Tan, Ning-Bo %A Huang, Ting-Zhu %A Hu, Ze-Jun %D 2012 %J Journal of Applied Mathematics %K 35q30-navier-stokes-equations 65f08-preconditioners-for-iterative-methods 76d05-incompressible-navier-stokes-equations 76m25-other-numerical-methods-in-fluid-mechanics %P 12 %R 10.1155/2012/402490 %T A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations %U https://www.hindawi.com/journals/jam/2012/402490/ %V 2012 %X A relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible Navier-Stokes equations. Spectral analysis of the preconditioned matrix is presented, and numerical experiments are carried out to illustrate the convergence behavior of the preconditioner for solving both steady and unsteady incompressible flow problems."/><meta name="citation_fulltext_html_url" content="https://www.hindawi.com/journals/jam/2012/402490/"/><meta name="citation_pdf_url" content="http://downloads.hindawi.com/journals/jam/2012/402490.pdf"/><meta name="citation_xml_url" content="http://downloads.hindawi.com/journals/jam/2012/402490.xml"/><meta name="dc.creator" content="Tan, Ning-Bo"/><meta name="dc.creator" content="Huang, Ting-Zhu"/><meta name="dc.creator" content="Hu, Ze-Jun"/><meta name="dc.title" content=Ä Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations"/><meta name="dc.description" content=Ä relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible Navier-Stokes equations. Spectral analysis of the preconditioned matrix is presented, and numerical experiments are carried out to illustrate the convergence behavior of the preconditioner for solving both steady and unsteady incompressible flow problems."/><meta name="dc.publisher" content="Hindawi"/><meta name="dc.format" content="text/html"/><meta name="dc.language" content="en"/><meta name="dc.identifier" content="https://doi.org/10.1155/2012/402490"/><meta name="dc.type" content="Research Article"/><meta name="dc.date" content="2012/06/28"/><meta name="dcterms.issued" content="2012/06/28"/><meta name="prism.publicationDate" content="2012/06/28"/><meta name="prism.volume" content="2012"/><meta name="prism.section" content="Research Article"/><meta name="prism.doi" content="https://doi.org/10.1155/2012/402490"/><meta name="prism.issn" content="1110-757X"/><meta name="dc.source" content="Journal of Applied Mathematics"/><meta name="prism.publicationName" content="Journal of Applied Mathematics"/><meta name=äuthors" content="Ning-Bo Tan | Ting-Zhu Huang | Ze-Jun Hu"/><meta name=Äuthor" content="Hindawi"/><meta name="robots" content="index"/><meta name="google-site-verification" content=ÄxEuDsL7vXGOxRe53-uFhOk2ODN0bbXMeuBy6Pfq4ww"/><script src="https://cdn.cookielaw.org/scripttemplates/otSDKStub.js" type="text/javascript" charset=ÜTF-8" data-domain-script="fbafd62a-0a4e-4f7b-a04d-56f57fa3d716"></script><link href="https://static-01.hindawi.com/next_assets/P5BMTK57YuifMluiSHd1F/static/lib/basictable.css" rel="stylesheet" media="none" class="next-head"/><link rel="stylesheet" href="https://static-01.hindawi.com/next_assets/P5BMTK57YuifMluiSHd1F/static/lib/owl.carousel.min.css" media="none" class="next-head"/><link rel="stylesheet" href="https://static-01.hindawi.com/next_assets/P5BMTK57YuifMluiSHd1F/static/lib/owl.theme.default.min.css" media="none" class="next-head"/><script src="https://static-01.hindawi.com/next_assets/P5BMTK57YuifMluiSHd1F/static/lib/jquery.js" class="next-head"></script><link rel="stylesheet" type="text/css" href="https://cdn.bibblio.org/rcm/4.18/bib-related-content.min.css" media="none" class="next-head"/><script src="https://cdn.bibblio.org/rcm/4.18/bib-related-content.min.js" class="next-head"></script><link rel="stylesheet" type="text/css" href="https://cdn.bibblio.org/rcm/4.18/bib-related-content.min.css" media="none" class="next-head

@article{tan2012relaxed, abstract = {A relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible Navier-Stokes equations. Spectral analysis of the preconditioned matrix is presented, and numerical experiments are carried out to illustrate the convergence behavior of the preconditioner for solving both steady and unsteady incompressible flow problems."/><meta name="citation_fulltext_html_url" content="https://www.hindawi.com/journals/jam/2012/402490/"/><meta name="citation_pdf_url" content="http://downloads.hindawi.com/journals/jam/2012/402490.pdf"/><meta name="citation_xml_url" content="http://downloads.hindawi.com/journals/jam/2012/402490.xml"/><meta name="dc.creator" content="Tan, Ning-Bo"/><meta name="dc.creator" content="Huang, Ting-Zhu"/><meta name="dc.creator" content="Hu, Ze-Jun"/><meta name="dc.title" content="A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations"/><meta name="dc.description" content="A relaxed splitting preconditioner based on matrix splitting is introduced in this paper for linear systems of saddle point problem arising from numerical solution of the incompressible Navier-Stokes equations. Spectral analysis of the preconditioned matrix is presented, and numerical experiments are carried out to illustrate the convergence behavior of the preconditioner for solving both steady and unsteady incompressible flow problems."/><meta name="dc.publisher" content="Hindawi"/><meta name="dc.format" content="text/html"/><meta name="dc.language" content="en"/><meta name="dc.identifier" content="https://doi.org/10.1155/2012/402490"/><meta name="dc.type" content="Research Article"/><meta name="dc.date" content="2012/06/28"/><meta name="dcterms.issued" content="2012/06/28"/><meta name="prism.publicationDate" content="2012/06/28"/><meta name="prism.volume" content="2012"/><meta name="prism.section" content="Research Article"/><meta name="prism.doi" content="https://doi.org/10.1155/2012/402490"/><meta name="prism.issn" content="1110-757X"/><meta name="dc.source" content="Journal of Applied Mathematics"/><meta name="prism.publicationName" content="Journal of Applied Mathematics"/><meta name="authors" content="Ning-Bo Tan | Ting-Zhu Huang | Ze-Jun Hu"/><meta name="Author" content="Hindawi"/><meta name="robots" content="index"/><meta name="google-site-verification" content="AxEuDsL7vXGOxRe53-uFhOk2ODN0bbXMeuBy6Pfq4ww"/><script src="https://cdn.cookielaw.org/scripttemplates/otSDKStub.js" type="text/javascript" charset="UTF-8" data-domain-script="fbafd62a-0a4e-4f7b-a04d-56f57fa3d716"></script><link href="https://static-01.hindawi.com/next_assets/P5BMTK57YuifMluiSHd1F/static/lib/basictable.css" rel="stylesheet" media="none" class="next-head"/><link rel="stylesheet" href="https://static-01.hindawi.com/next_assets/P5BMTK57YuifMluiSHd1F/static/lib/owl.carousel.min.css" media="none" class="next-head"/><link rel="stylesheet" href="https://static-01.hindawi.com/next_assets/P5BMTK57YuifMluiSHd1F/static/lib/owl.theme.default.min.css" media="none" class="next-head"/><script src="https://static-01.hindawi.com/next_assets/P5BMTK57YuifMluiSHd1F/static/lib/jquery.js" class="next-head"></script><link rel="stylesheet" type="text/css" href="https://cdn.bibblio.org/rcm/4.18/bib-related-content.min.css" media="none" class="next-head"/><script src="https://cdn.bibblio.org/rcm/4.18/bib-related-content.min.js" class="next-head"></script><link rel="stylesheet" type="text/css" href="https://cdn.bibblio.org/rcm/4.18/bib-related-content.min.css" media="none" class="next-head}, added-at = {2021-02-03T05:06:51.000+0100}, author = {Tan, Ning-Bo and Huang, Ting-Zhu and Hu, Ze-Jun}, biburl = {https://www.bibsonomy.org/bibtex/2753fe9ae221c264979f14f493d793e44/gdmcbain}, doi = {10.1155/2012/402490}, interhash = {574bb1b4b8c98aca9bb89eddfe2e255d}, intrahash = {753fe9ae221c264979f14f493d793e44}, journal = {Journal of Applied Mathematics}, keywords = {35q30-navier-stokes-equations 65f08-preconditioners-for-iterative-methods 76d05-incompressible-navier-stokes-equations 76m25-other-numerical-methods-in-fluid-mechanics}, language = {en}, pages = 12, timestamp = {2021-02-03T05:06:51.000+0100}, title = {A Relaxed Splitting Preconditioner for the Incompressible Navier-Stokes Equations}, url = {https://www.hindawi.com/journals/jam/2012/402490/}, volume = 2012, year = 2012 }