Finite element analysis of a coupled thermally dependent viscosity flow problem

Detalhes bibliográficos
Autor(a) principal: Zhu,Jiang
Data de Publicação: 2007
Outros Autores: Loula,Abimael F.D., Karam F.,José, Guerreiro,João N.C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Computational & Applied Mathematics
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000100003
Resumo: In this work, a stationary Stokes flow with thermal effects is studied both mathematically and numerically. First, existence, uniqueness and regularity of the weak solution of the problem are established. Next, finite element approximation to the problem, based on a fixed point algorithm, is proposed. Then, an error estimate between continuous solution and discrete one is obtained. Finally, some numerical tests are presented to confirm the theoretical results.
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spelling Finite element analysis of a coupled thermally dependent viscosity flow problemfinite element analysisthermally coupled Stokes problemincompressible quasi-Newtonian flowIn this work, a stationary Stokes flow with thermal effects is studied both mathematically and numerically. First, existence, uniqueness and regularity of the weak solution of the problem are established. Next, finite element approximation to the problem, based on a fixed point algorithm, is proposed. Then, an error estimate between continuous solution and discrete one is obtained. Finally, some numerical tests are presented to confirm the theoretical results.Sociedade Brasileira de Matemática Aplicada e Computacional2007-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000100003Computational & Applied Mathematics v.26 n.1 2007reponame:Computational & Applied Mathematicsinstname:Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)instacron:SBMACinfo:eu-repo/semantics/openAccessZhu,JiangLoula,Abimael F.D.Karam F.,JoséGuerreiro,João N.C.eng2007-05-10T00:00:00Zoai:scielo:S1807-03022007000100003Revistahttps://www.scielo.br/j/cam/ONGhttps://old.scielo.br/oai/scielo-oai.php||sbmac@sbmac.org.br1807-03022238-3603opendoar:2007-05-10T00:00Computational & Applied Mathematics - Sociedade Brasileira de Matemática Aplicada e Computacional (SBMAC)false
dc.title.none.fl_str_mv Finite element analysis of a coupled thermally dependent viscosity flow problem
title Finite element analysis of a coupled thermally dependent viscosity flow problem
spellingShingle Finite element analysis of a coupled thermally dependent viscosity flow problem
Zhu,Jiang
finite element analysis
thermally coupled Stokes problem
incompressible quasi-Newtonian flow
title_short Finite element analysis of a coupled thermally dependent viscosity flow problem
title_full Finite element analysis of a coupled thermally dependent viscosity flow problem
title_fullStr Finite element analysis of a coupled thermally dependent viscosity flow problem
title_full_unstemmed Finite element analysis of a coupled thermally dependent viscosity flow problem
title_sort Finite element analysis of a coupled thermally dependent viscosity flow problem
author Zhu,Jiang
author_facet Zhu,Jiang
Loula,Abimael F.D.
Karam F.,José
Guerreiro,João N.C.
author_role author
author2 Loula,Abimael F.D.
Karam F.,José
Guerreiro,João N.C.
author2_role author
author
author
dc.contributor.author.fl_str_mv Zhu,Jiang
Loula,Abimael F.D.
Karam F.,José
Guerreiro,João N.C.
dc.subject.por.fl_str_mv finite element analysis
thermally coupled Stokes problem
incompressible quasi-Newtonian flow
topic finite element analysis
thermally coupled Stokes problem
incompressible quasi-Newtonian flow
description In this work, a stationary Stokes flow with thermal effects is studied both mathematically and numerically. First, existence, uniqueness and regularity of the weak solution of the problem are established. Next, finite element approximation to the problem, based on a fixed point algorithm, is proposed. Then, an error estimate between continuous solution and discrete one is obtained. Finally, some numerical tests are presented to confirm the theoretical results.
publishDate 2007
dc.date.none.fl_str_mv 2007-01-01
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=S1807-03022007000100003
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1807-03022007000100003
dc.language.iso.fl_str_mv eng
language eng
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.26 n.1 2007
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)
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institution SBMAC
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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