A nearly optimal Galerkin projected residual finite element method for Helmholtz problem
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | , , |
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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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 |
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Universidade Federal do Rio de Janeiro (UFRJ) |
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UFRJ |
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UFRJ |
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Repositório Institucional da UFRJ |
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