Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries

Detalhes bibliográficos
Autor(a) principal: Antunes, Pedro R. S.
Data de Publicação: 2017
Outros Autores: Oudet, Édouard
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/7112
Resumo: We develop the first numerical study in four dimensions of optimal eigenmodes associated with the Dirichlet Laplacian. We describe an extension of the method of fundamental solutions adapted to the four-dimensional context. Based on our numerical simulation and a postprocessing adapted to the identification of relevant symmetries, we provide and discuss the numerical description of the eighth first optimal domains.
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spelling Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometriesDirichlet laplacianEigenvaluesHigher dimensional spaceShape optimizationWe develop the first numerical study in four dimensions of optimal eigenmodes associated with the Dirichlet Laplacian. We describe an extension of the method of fundamental solutions adapted to the four-dimensional context. Based on our numerical simulation and a postprocessing adapted to the identification of relevant symmetries, we provide and discuss the numerical description of the eighth first optimal domains.The work of the first author was partially supported by FCT, Portugal, through the program “Investigador FCT” with reference IF/00177/2013 and the scientific project PTDC/MATCAL/4334/2014. The work of the second author was supported by the ANR, through the projects COMEDIC, PGMO, and OPTIFORMPTDC/MATCAL/4334/2014SIAMRepositório AbertoAntunes, Pedro R. S.Oudet, Édouard2018-02-09T16:57:15Z20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/7112eng1064-8275 (Print)10.1137/16M1083773info: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:RCAAP2023-11-16T15:25:58Zoai:repositorioaberto.uab.pt:10400.2/7112Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:47:26.094853Repositório 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 Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries
title Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries
spellingShingle Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries
Antunes, Pedro R. S.
Dirichlet laplacian
Eigenvalues
Higher dimensional space
Shape optimization
title_short Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries
title_full Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries
title_fullStr Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries
title_full_unstemmed Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries
title_sort Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries
author Antunes, Pedro R. S.
author_facet Antunes, Pedro R. S.
Oudet, Édouard
author_role author
author2 Oudet, Édouard
author2_role author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Antunes, Pedro R. S.
Oudet, Édouard
dc.subject.por.fl_str_mv Dirichlet laplacian
Eigenvalues
Higher dimensional space
Shape optimization
topic Dirichlet laplacian
Eigenvalues
Higher dimensional space
Shape optimization
description We develop the first numerical study in four dimensions of optimal eigenmodes associated with the Dirichlet Laplacian. We describe an extension of the method of fundamental solutions adapted to the four-dimensional context. Based on our numerical simulation and a postprocessing adapted to the identification of relevant symmetries, we provide and discuss the numerical description of the eighth first optimal domains.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
2018-02-09T16:57:15Z
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/10400.2/7112
url http://hdl.handle.net/10400.2/7112
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1064-8275 (Print)
10.1137/16M1083773
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv SIAM
publisher.none.fl_str_mv SIAM
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
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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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