Galerkin projected residual method applied to diffusion–reaction problems

Detalhes bibliográficos
Autor(a) principal: Carmo, Eduardo Gomes Dutra do
Data de Publicação: 2008
Outros Autores: Alvarez, Gustavo Benitez, Rochinha, Fernando Alves, Loula, Abimael Fernando Dourado
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8813
Resumo: Indisponível.
id UFRJ_636315f3625340ad141783d16686374a
oai_identifier_str oai:pantheon.ufrj.br:11422/8813
network_acronym_str UFRJ
network_name_str Repositório Institucional da UFRJ
repository_id_str
spelling Carmo, Eduardo Gomes Dutra doAlvarez, Gustavo BenitezRochinha, Fernando AlvesLoula, Abimael Fernando Dourado2019-07-15T19:18:01Z2023-11-30T03:01:05Z2008-05-310045-7825http://hdl.handle.net/11422/881310.1016/j.cma.2008.05.021Indisponível.A stabilized finite element method is presented for scalar and linear second-order boundary value problems. The method is obtained by adding to the Galerkin formulation multiple projections of the residual of the differential equation at element level. These multiple projections allow the generation of appropriate number of free stabilization parameters in the element matrix depending on the local space of approximation and on the differential operator. The free parameters can be determined imposing some convergence and/or stability criteria or by postulating the element matrix with the desired stability properties. The element matrix of most stabilized methods (such as, GLS and GGLS methods) can be obtained using this new method with appropriate choices of the stabilization parameters. We applied this formulation to diffusion–reaction problems. Optimal rates of convergency are numerically observed for regular solutions.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-07-15T19:18:01Z No. of bitstreams: 1 2008_CARMO_CMAPE_v197-p4559-4570-min.pdf: 927277 bytes, checksum: 3059c002e8af5d970b54a07d3ebb463b (MD5)Made available in DSpace on 2019-07-15T19:18:01Z (GMT). No. of bitstreams: 1 2008_CARMO_CMAPE_v197-p4559-4570-min.pdf: 927277 bytes, checksum: 3059c002e8af5d970b54a07d3ebb463b (MD5) Previous issue date: 2008-05-31engElsevierBrasilNúcleo Interdisciplinar de Dinâmica dos FluidosComputer Methods in Applied Mechanics and EngineeringCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSStabilizationGLSGPRDiffusion–reaction equationFinite element methodSecond-order boundary value problemsGalerkin projected residual method applied to diffusion–reaction problemsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article19751-5245594570365 diasinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL2008_CARMO_CMAPE_v197-p4559-4570-min.pdf2008_CARMO_CMAPE_v197-p4559-4570-min.pdfapplication/pdf927277http://pantheon.ufrj.br:80/bitstream/11422/8813/1/2008_CARMO_CMAPE_v197-p4559-4570-min.pdf3059c002e8af5d970b54a07d3ebb463bMD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8813/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/88132023-11-30 00:01:05.778oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:01:05Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv Galerkin projected residual method applied to diffusion–reaction problems
title Galerkin projected residual method applied to diffusion–reaction problems
spellingShingle Galerkin projected residual method applied to diffusion–reaction problems
Carmo, Eduardo Gomes Dutra do
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Stabilization
GLS
GPR
Diffusion–reaction equation
Finite element method
Second-order boundary value problems
title_short Galerkin projected residual method applied to diffusion–reaction problems
title_full Galerkin projected residual method applied to diffusion–reaction problems
title_fullStr Galerkin projected residual method applied to diffusion–reaction problems
title_full_unstemmed Galerkin projected residual method applied to diffusion–reaction problems
title_sort Galerkin projected residual method applied to diffusion–reaction problems
author Carmo, Eduardo Gomes Dutra do
author_facet Carmo, Eduardo Gomes Dutra do
Alvarez, Gustavo Benitez
Rochinha, Fernando Alves
Loula, Abimael Fernando Dourado
author_role author
author2 Alvarez, Gustavo Benitez
Rochinha, Fernando Alves
Loula, Abimael Fernando Dourado
author2_role author
author
author
dc.contributor.author.fl_str_mv Carmo, Eduardo Gomes Dutra do
Alvarez, Gustavo Benitez
Rochinha, Fernando Alves
Loula, Abimael Fernando Dourado
dc.subject.cnpq.fl_str_mv CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
topic CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Stabilization
GLS
GPR
Diffusion–reaction equation
Finite element method
Second-order boundary value problems
dc.subject.eng.fl_str_mv Stabilization
GLS
GPR
Diffusion–reaction equation
Finite element method
Second-order boundary value problems
description Indisponível.
publishDate 2008
dc.date.issued.fl_str_mv 2008-05-31
dc.date.accessioned.fl_str_mv 2019-07-15T19:18:01Z
dc.date.available.fl_str_mv 2023-11-30T03:01:05Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/11422/8813
dc.identifier.issn.pt_BR.fl_str_mv 0045-7825
dc.identifier.doi.pt_BR.fl_str_mv 10.1016/j.cma.2008.05.021
identifier_str_mv 0045-7825
10.1016/j.cma.2008.05.021
url http://hdl.handle.net/11422/8813
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.en.fl_str_mv Computer Methods in Applied Mechanics and Engineering
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRJ
instname:Universidade Federal do Rio de Janeiro (UFRJ)
instacron:UFRJ
instname_str Universidade Federal do Rio de Janeiro (UFRJ)
instacron_str UFRJ
institution UFRJ
reponame_str Repositório Institucional da UFRJ
collection Repositório Institucional da UFRJ
bitstream.url.fl_str_mv http://pantheon.ufrj.br:80/bitstream/11422/8813/1/2008_CARMO_CMAPE_v197-p4559-4570-min.pdf
http://pantheon.ufrj.br:80/bitstream/11422/8813/2/license.txt
bitstream.checksum.fl_str_mv 3059c002e8af5d970b54a07d3ebb463b
dd32849f2bfb22da963c3aac6e26e255
bitstream.checksumAlgorithm.fl_str_mv MD5
MD5
repository.name.fl_str_mv Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)
repository.mail.fl_str_mv
_version_ 1784097149437345792

Registros relacionados