Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems

A postprocessing technique to improve Galerkin finite element approximations to linear evolutionary convection-reaction-diffusion equations is considered. A steady convection-reactiondiffusion problem with data based on the computed standard Galerkin approximation is solved at any fixed time. The po...

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Detalhes bibliográficos
Autores: Frutos, Javier de, García-Archilla, Bosco, Novo, Julia
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2010
País:España
Recursos:Universidad de Sevilla (US)
Repositório:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/57772
Acesso em linha:http://hdl.handle.net/11441/57772
https://doi.org/10.1137/090763378
Access Level:Acceso aberto
Palavra-chave:Stabilized methods
Finite element methods
Transient convection-diffusion problems
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spelling Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion ProblemsFrutos, Javier deGarcía-Archilla, BoscoNovo, JuliaStabilized methodsFinite element methodsTransient convection-diffusion problemsA postprocessing technique to improve Galerkin finite element approximations to linear evolutionary convection-reaction-diffusion equations is considered. A steady convection-reactiondiffusion problem with data based on the computed standard Galerkin approximation is solved at any fixed time. The postprocessing approximation is obtained using the SUPG method over the same Galerkin finite element space. Error bounds for the method are obtained in the convectiondominated regime. The numerical experiments we present show a substantial reduction of spurious oscillations achieved by means of this procedure.Ministerio de Educación y Ciencia MTM2007-60528Society for Industrial and Applied MathematicsMatemática Aplicada IIMinisterio de Educación y Ciencia (MEC). España2010info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttp://hdl.handle.net/11441/57772https://doi.org/10.1137/090763378reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésSIAM Journal on Numerical Analysis, 48 (3), 953-979.MTM2007-60528http://epubs.siam.org/doi/abs/10.1137/090763378info:eu-repo/semantics/openAccessoai:idus.us.es:11441/577722026-06-17T12:51:07Z
dc.title.none.fl_str_mv Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
title Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
spellingShingle Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
Frutos, Javier de
Stabilized methods
Finite element methods
Transient convection-diffusion problems
title_short Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
title_full Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
title_fullStr Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
title_full_unstemmed Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
title_sort Stabilization of Galerkin Finite Element Approximations to Transient Convection-Diffusion Problems
dc.creator.none.fl_str_mv Frutos, Javier de
García-Archilla, Bosco
Novo, Julia
author Frutos, Javier de
author_facet Frutos, Javier de
García-Archilla, Bosco
Novo, Julia
author_role author
author2 García-Archilla, Bosco
Novo, Julia
author2_role author
author
dc.contributor.none.fl_str_mv Matemática Aplicada II
Ministerio de Educación y Ciencia (MEC). España
dc.subject.none.fl_str_mv Stabilized methods
Finite element methods
Transient convection-diffusion problems
topic Stabilized methods
Finite element methods
Transient convection-diffusion problems
description A postprocessing technique to improve Galerkin finite element approximations to linear evolutionary convection-reaction-diffusion equations is considered. A steady convection-reactiondiffusion problem with data based on the computed standard Galerkin approximation is solved at any fixed time. The postprocessing approximation is obtained using the SUPG method over the same Galerkin finite element space. Error bounds for the method are obtained in the convectiondominated regime. The numerical experiments we present show a substantial reduction of spurious oscillations achieved by means of this procedure.
publishDate 2010
dc.date.none.fl_str_mv 2010
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11441/57772
https://doi.org/10.1137/090763378
url http://hdl.handle.net/11441/57772
https://doi.org/10.1137/090763378
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv SIAM Journal on Numerical Analysis, 48 (3), 953-979.
MTM2007-60528
http://epubs.siam.org/doi/abs/10.1137/090763378
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
publisher.none.fl_str_mv Society for Industrial and Applied Mathematics
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301603

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