Dual boundary-element method: Simple error estimator and adaptivity
Autor(a) principal: | |
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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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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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 |
repository.mail.fl_str_mv |
|
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1817552245011513344 |