A nearly optimal Galerkin projected residual finite element method for Helmholtz problem

Detalhes bibliográficos
Autor(a) principal: Carmo, Eduardo Gomes Dutra do
Data de Publicação: 2007
Outros Autores: Alvarez, Gustavo Benitez, Loula, Abimael Fernando Dourado, Rochinha, Fernando Alves
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFRJ
Texto Completo: http://hdl.handle.net/11422/8812
Resumo: Indisponível.
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spelling Carmo, Eduardo Gomes Dutra doAlvarez, Gustavo BenitezLoula, Abimael Fernando DouradoRochinha, Fernando Alves2019-07-15T18:59:29Z2023-11-30T03:03:34Z2007-11-220045-7825http://hdl.handle.net/11422/881210.1016/j.cma.2007.11.001Indisponível.A Finite Element Formulation for scalar and linear second-order boundary value problems is introduced. The new method relies on a variational formulation obtained following the usual path of appending to the Galerkin variational formulation, a balanced residual form of the governing partial differential equation computed within each element. The novelty consists of projecting the residual in a subspace defined for each element, which gives rise to the name of the method: Galerkin Projected Residual (GPR). This subspace is built by systematically exploring some a priori criteria (either based on the physics or on the underlying mathematics). The method can be used to stabilize a variety of problems. Here it is applied to Helmholtz equation, where standard Galerkin formulations are known to present poor approximations for high wave numbers. The method is formally introduced along with some numerical examples that are used to assess the improvements achieved.Submitted by Jairo Amaro (jairo.amaro@sibi.ufrj.br) on 2019-07-15T18:59:29Z No. of bitstreams: 1 2008_CARMO_CMAPE_v197_p1362-1375-min.pdf: 498056 bytes, checksum: 25bb2c6b2ec8dc1a866047b6ac475ed3 (MD5)Made available in DSpace on 2019-07-15T18:59:29Z (GMT). No. of bitstreams: 1 2008_CARMO_CMAPE_v197_p1362-1375-min.pdf: 498056 bytes, checksum: 25bb2c6b2ec8dc1a866047b6ac475ed3 (MD5) Previous issue date: 2007-11-22engComputer Methods in Applied Mechanics and EngineeringCNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOSFinite element methodStabilizationGPRGLSGGLSHelmholtz equationA nearly optimal Galerkin projected residual finite element method for Helmholtz probleminfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article19713-1613621375365 diasBrasilNúcleo Interdisciplinar de Dinâmica dos Fluidosinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRJinstname:Universidade Federal do Rio de Janeiro (UFRJ)instacron:UFRJORIGINAL2008_CARMO_CMAPE_v197_p1362-1375-min.pdf2008_CARMO_CMAPE_v197_p1362-1375-min.pdfapplication/pdf498056http://pantheon.ufrj.br:80/bitstream/11422/8812/1/2008_CARMO_CMAPE_v197_p1362-1375-min.pdf25bb2c6b2ec8dc1a866047b6ac475ed3MD51LICENSElicense.txtlicense.txttext/plain; charset=utf-81853http://pantheon.ufrj.br:80/bitstream/11422/8812/2/license.txtdd32849f2bfb22da963c3aac6e26e255MD5211422/88122023-11-30 00:03:34.396oai:pantheon.ufrj.br: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Repositório de PublicaçõesPUBhttp://www.pantheon.ufrj.br/oai/requestopendoar:2023-11-30T03:03:34Repositório Institucional da UFRJ - Universidade Federal do Rio de Janeiro (UFRJ)false
dc.title.en.fl_str_mv A nearly optimal Galerkin projected residual finite element method for Helmholtz problem
title A nearly optimal Galerkin projected residual finite element method for Helmholtz problem
spellingShingle A nearly optimal Galerkin projected residual finite element method for Helmholtz problem
Carmo, Eduardo Gomes Dutra do
CNPQ::CIENCIAS EXATAS E DA TERRA::FISICA::AREAS CLASSICAS DE FENOMENOLOGIA E SUAS APLICACOES::DINAMICA DOS FLUIDOS
Finite element method
Stabilization
GPR
GLS
GGLS
Helmholtz equation
title_short A nearly optimal Galerkin projected residual finite element method for Helmholtz problem
title_full A nearly optimal Galerkin projected residual finite element method for Helmholtz problem
title_fullStr A nearly optimal Galerkin projected residual finite element method for Helmholtz problem
title_full_unstemmed A nearly optimal Galerkin projected residual finite element method for Helmholtz problem
title_sort A nearly optimal Galerkin projected residual finite element method for Helmholtz problem
author Carmo, Eduardo Gomes Dutra do
author_facet Carmo, Eduardo Gomes Dutra do
Alvarez, Gustavo Benitez
Loula, Abimael Fernando Dourado
Rochinha, Fernando Alves
author_role author
author2 Alvarez, Gustavo Benitez
Loula, Abimael Fernando Dourado
Rochinha, Fernando Alves
author2_role author
author
author
dc.contributor.author.fl_str_mv Carmo, Eduardo Gomes Dutra do
Alvarez, Gustavo Benitez
Loula, Abimael Fernando Dourado
Rochinha, Fernando Alves
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
Finite element method
Stabilization
GPR
GLS
GGLS
Helmholtz equation
dc.subject.eng.fl_str_mv Finite element method
Stabilization
GPR
GLS
GGLS
Helmholtz equation
description Indisponível.
publishDate 2007
dc.date.issued.fl_str_mv 2007-11-22
dc.date.accessioned.fl_str_mv 2019-07-15T18:59:29Z
dc.date.available.fl_str_mv 2023-11-30T03:03:34Z
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/11422/8812
dc.identifier.issn.pt_BR.fl_str_mv 0045-7825
dc.identifier.doi.pt_BR.fl_str_mv 10.1016/j.cma.2007.11.001
identifier_str_mv 0045-7825
10.1016/j.cma.2007.11.001
url http://hdl.handle.net/11422/8812
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.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv Núcleo Interdisciplinar de Dinâmica dos Fluidos
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)
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institution UFRJ
reponame_str Repositório Institucional da UFRJ
collection Repositório Institucional da UFRJ
bitstream.url.fl_str_mv http://pantheon.ufrj.br:80/bitstream/11422/8812/1/2008_CARMO_CMAPE_v197_p1362-1375-min.pdf
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