Block triangular preconditioner for static Maxwell equations

Detalhes bibliográficos
Autor(a) principal: Wu,Shi-Liang
Data de Publicação: 2011
Outros Autores: Huang,Ting-Zhu, Li,Liang
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000300006
Resumo: In this paper, we explore the block triangular preconditioning techniques applied to the iterative solution of the saddle point linear systems arising from the discretized Maxwell equations. Theoretical analysis shows that all the eigenvalues of the preconditioned matrix arestrongly clustered. Numerical experiments are given to demonstrate the efficiency of the presented preconditioner. Mathematical subject classification: 65F10.
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spelling Block triangular preconditioner for static Maxwell equationsMaxwell equationspreconditionerKrylov subspace methodsaddle point systemIn this paper, we explore the block triangular preconditioning techniques applied to the iterative solution of the saddle point linear systems arising from the discretized Maxwell equations. Theoretical analysis shows that all the eigenvalues of the preconditioned matrix arestrongly clustered. Numerical experiments are given to demonstrate the efficiency of the presented preconditioner. Mathematical subject classification: 65F10.Sociedade Brasileira de Matemática Aplicada e Computacional2011-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000300006Computational & Applied Mathematics v.30 n.3 2011reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMAC10.1590/S1807-03022011000300006info:eu-repo/semantics/openAccessWu,Shi-LiangHuang,Ting-ZhuLi,Liangeng2012-01-06T00:00:00Zoai:scielo:S1807-03022011000300006Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2012-01-06T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Block triangular preconditioner for static Maxwell equations
title Block triangular preconditioner for static Maxwell equations
spellingShingle Block triangular preconditioner for static Maxwell equations
Wu,Shi-Liang
Maxwell equations
preconditioner
Krylov subspace method
saddle point system
title_short Block triangular preconditioner for static Maxwell equations
title_full Block triangular preconditioner for static Maxwell equations
title_fullStr Block triangular preconditioner for static Maxwell equations
title_full_unstemmed Block triangular preconditioner for static Maxwell equations
title_sort Block triangular preconditioner for static Maxwell equations
author Wu,Shi-Liang
author_facet Wu,Shi-Liang
Huang,Ting-Zhu
Li,Liang
author_role author
author2 Huang,Ting-Zhu
Li,Liang
author2_role author
author
dc.contributor.author.fl_str_mv Wu,Shi-Liang
Huang,Ting-Zhu
Li,Liang
dc.subject.por.fl_str_mv Maxwell equations
preconditioner
Krylov subspace method
saddle point system
topic Maxwell equations
preconditioner
Krylov subspace method
saddle point system
description In this paper, we explore the block triangular preconditioning techniques applied to the iterative solution of the saddle point linear systems arising from the discretized Maxwell equations. Theoretical analysis shows that all the eigenvalues of the preconditioned matrix arestrongly clustered. Numerical experiments are given to demonstrate the efficiency of the presented preconditioner. Mathematical subject classification: 65F10.
publishDate 2011
dc.date.none.fl_str_mv 2011-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000300006
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022011000300006
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1807-03022011000300006
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv Computational & Applied Mathematics v.30 n.3 2011
reponame:Computational & Applied Mathematics
instname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
instacron_str SBMAC
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reponame_str Computational & Applied Mathematics
collection Computational & Applied Mathematics
repository.name.fl_str_mv Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)
repository.mail.fl_str_mv ||sbmac@sbmac.org.br
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