Galerkin projected residual method applied to diffusion–reaction problems
Autor(a) principal: | |
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Data de Publicação: | 2008 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRJ |
Texto Completo: | http://hdl.handle.net/11422/8813 |
Resumo: | Indisponível. |
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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 |
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UFRJ |
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Repositório Institucional da UFRJ |
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Repositório Institucional da UFRJ |
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