Dual boundary-element method: Simple error estimator and adaptivity

Detalhes bibliográficos
Autor(a) principal: Portela, A.
Data de Publicação: 2011
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/3267
https://doi.org/10.1002/nme.3119
Resumo: This paper is concerned with the effective numerical implementation of the adaptive dual boundary-element method (DBEM), for two-dimensional potential problems. Two boundary integral equations, which are the potential and the flux equations, are applied for collocation along regular and degenerate boundaries, leading always to a single-region analysis. Taking advantage on the use of non-conforming parametric boundary-elements, the method introduces a simple error estimator, based on the discontinuity of the solution across the boundaries between adjacent elements and implements the p, h and mixed versions of the adaptive mesh refinement. Examples of several geometries, which include degenerate boundaries, are analyzed with this new formulation to solve regular and singular problems. The accuracy and efficiency of the implementation described herein make this a reliable formulation of the adaptive DBEM. Copyright 2011 John Wiley & Sons, Ltd. Received 30 June 2010; Revised 17 November 2010; Accepted 26 November 2010.
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spelling Dual boundary-element method: Simple error estimator and adaptivityDBEMnon-conforming elementserror estimatormesh refinementadaptive dual boundary-element methodThis paper is concerned with the effective numerical implementation of the adaptive dual boundary-element method (DBEM), for two-dimensional potential problems. Two boundary integral equations, which are the potential and the flux equations, are applied for collocation along regular and degenerate boundaries, leading always to a single-region analysis. Taking advantage on the use of non-conforming parametric boundary-elements, the method introduces a simple error estimator, based on the discontinuity of the solution across the boundaries between adjacent elements and implements the p, h and mixed versions of the adaptive mesh refinement. Examples of several geometries, which include degenerate boundaries, are analyzed with this new formulation to solve regular and singular problems. The accuracy and efficiency of the implementation described herein make this a reliable formulation of the adaptive DBEM. Copyright 2011 John Wiley & Sons, Ltd. Received 30 June 2010; Revised 17 November 2010; Accepted 26 November 2010.Wiley2012-01-11T10:37:42Z2012-01-112011-06-24T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/3267http://hdl.handle.net/10174/3267https://doi.org/10.1002/nme.3119engPortela, A.Dual boundary-element method: Simple error estimator and adaptivity, International Journal for Numerical Methods in Engineering, 86, 12, 1457-1480, 2011.0029-5981aportela@uevora.pt335Portela, A.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:40:20Zoai:dspace.uevora.pt:10174/3267Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:58:45.867368Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Dual boundary-element method: Simple error estimator and adaptivity
title Dual boundary-element method: Simple error estimator and adaptivity
spellingShingle Dual boundary-element method: Simple error estimator and adaptivity
Portela, A.
DBEM
non-conforming elements
error estimator
mesh refinement
adaptive dual boundary-element method
title_short Dual boundary-element method: Simple error estimator and adaptivity
title_full Dual boundary-element method: Simple error estimator and adaptivity
title_fullStr Dual boundary-element method: Simple error estimator and adaptivity
title_full_unstemmed Dual boundary-element method: Simple error estimator and adaptivity
title_sort Dual boundary-element method: Simple error estimator and adaptivity
author Portela, A.
author_facet Portela, A.
author_role author
dc.contributor.author.fl_str_mv Portela, A.
dc.subject.por.fl_str_mv DBEM
non-conforming elements
error estimator
mesh refinement
adaptive dual boundary-element method
topic DBEM
non-conforming elements
error estimator
mesh refinement
adaptive dual boundary-element method
description This paper is concerned with the effective numerical implementation of the adaptive dual boundary-element method (DBEM), for two-dimensional potential problems. Two boundary integral equations, which are the potential and the flux equations, are applied for collocation along regular and degenerate boundaries, leading always to a single-region analysis. Taking advantage on the use of non-conforming parametric boundary-elements, the method introduces a simple error estimator, based on the discontinuity of the solution across the boundaries between adjacent elements and implements the p, h and mixed versions of the adaptive mesh refinement. Examples of several geometries, which include degenerate boundaries, are analyzed with this new formulation to solve regular and singular problems. The accuracy and efficiency of the implementation described herein make this a reliable formulation of the adaptive DBEM. Copyright 2011 John Wiley & Sons, Ltd. Received 30 June 2010; Revised 17 November 2010; Accepted 26 November 2010.
publishDate 2011
dc.date.none.fl_str_mv 2011-06-24T00:00:00Z
2012-01-11T10:37:42Z
2012-01-11
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/10174/3267
http://hdl.handle.net/10174/3267
https://doi.org/10.1002/nme.3119
url http://hdl.handle.net/10174/3267
https://doi.org/10.1002/nme.3119
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Portela, A.Dual boundary-element method: Simple error estimator and adaptivity, International Journal for Numerical Methods in Engineering, 86, 12, 1457-1480, 2011.
0029-5981
aportela@uevora.pt
335
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Wiley
publisher.none.fl_str_mv Wiley
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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