Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization

Detalhes bibliográficos
Autor(a) principal: Roque, C. M. C.
Data de Publicação: 2014
Outros Autores: Madeira, JFA, Ferreira, A. J. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.21/5009
Resumo: Meshless methods are used for their capability of producing excellent solutions without requiring a mesh, avoiding mesh related problems encountered in other numerical methods, such as finite elements. However, node placement is still an open question, specially in strong form collocation meshless methods. The number of used nodes can have a big influence on matrix size and therefore produce ill-conditioned matrices. In order to optimize node position and number, a direct multisearch technique for multiobjective optimization is used to optimize node distribution in the global collocation method using radial basis functions. The optimization method is applied to the bending of isotropic simply supported plates. Using as a starting condition a uniformly distributed grid, results show that the method is capable of reducing the number of nodes in the grid without compromising the accuracy of the solution. (C) 2013 Elsevier Ltd. All rights reserved.
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spelling Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimizationMeshless MethodRadial Basis FunctionsMultiobjective OptimizationDirect-Search MethodsPareto DominanceMeshless methods are used for their capability of producing excellent solutions without requiring a mesh, avoiding mesh related problems encountered in other numerical methods, such as finite elements. However, node placement is still an open question, specially in strong form collocation meshless methods. The number of used nodes can have a big influence on matrix size and therefore produce ill-conditioned matrices. In order to optimize node position and number, a direct multisearch technique for multiobjective optimization is used to optimize node distribution in the global collocation method using radial basis functions. The optimization method is applied to the bending of isotropic simply supported plates. Using as a starting condition a uniformly distributed grid, results show that the method is capable of reducing the number of nodes in the grid without compromising the accuracy of the solution. (C) 2013 Elsevier Ltd. All rights reserved.Elsevier Science BVRCIPLRoque, C. M. C.Madeira, JFAFerreira, A. J. M.2015-08-25T14:24:06Z2014-022014-02-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.21/5009engROQUE, C. M. C.; MADEIRA, José Firmino Aguilar; FERREIRA, A. J. M. – Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization. Engineering Analysis with Boundary Elements. ISSN: 0955-7997. Vol. 39 (2014), pp. 5-140955-799710.1016/j.enganabound.2013.10.012metadata only accessinfo: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:RCAAP2023-08-03T09:47:50Zoai:repositorio.ipl.pt:10400.21/5009Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:14:21.316716Repositório 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 Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization
title Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization
spellingShingle Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization
Roque, C. M. C.
Meshless Method
Radial Basis Functions
Multiobjective Optimization
Direct-Search Methods
Pareto Dominance
title_short Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization
title_full Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization
title_fullStr Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization
title_full_unstemmed Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization
title_sort Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization
author Roque, C. M. C.
author_facet Roque, C. M. C.
Madeira, JFA
Ferreira, A. J. M.
author_role author
author2 Madeira, JFA
Ferreira, A. J. M.
author2_role author
author
dc.contributor.none.fl_str_mv RCIPL
dc.contributor.author.fl_str_mv Roque, C. M. C.
Madeira, JFA
Ferreira, A. J. M.
dc.subject.por.fl_str_mv Meshless Method
Radial Basis Functions
Multiobjective Optimization
Direct-Search Methods
Pareto Dominance
topic Meshless Method
Radial Basis Functions
Multiobjective Optimization
Direct-Search Methods
Pareto Dominance
description Meshless methods are used for their capability of producing excellent solutions without requiring a mesh, avoiding mesh related problems encountered in other numerical methods, such as finite elements. However, node placement is still an open question, specially in strong form collocation meshless methods. The number of used nodes can have a big influence on matrix size and therefore produce ill-conditioned matrices. In order to optimize node position and number, a direct multisearch technique for multiobjective optimization is used to optimize node distribution in the global collocation method using radial basis functions. The optimization method is applied to the bending of isotropic simply supported plates. Using as a starting condition a uniformly distributed grid, results show that the method is capable of reducing the number of nodes in the grid without compromising the accuracy of the solution. (C) 2013 Elsevier Ltd. All rights reserved.
publishDate 2014
dc.date.none.fl_str_mv 2014-02
2014-02-01T00:00:00Z
2015-08-25T14:24:06Z
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/10400.21/5009
url http://hdl.handle.net/10400.21/5009
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv ROQUE, C. M. C.; MADEIRA, José Firmino Aguilar; FERREIRA, A. J. M. – Node adaptation for global collocation with radial basis functions using direct multisearch for multiobjective optimization. Engineering Analysis with Boundary Elements. ISSN: 0955-7997. Vol. 39 (2014), pp. 5-14
0955-7997
10.1016/j.enganabound.2013.10.012
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier Science BV
publisher.none.fl_str_mv Elsevier Science BV
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
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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