Numerical calculation of extremal Steklov eigenvalues in 3D and 4D

Detalhes bibliográficos
Autor(a) principal: Antunes, Pedro R. S.
Data de Publicação: 2021
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.2/11814
Resumo: We develop a numerical method for solving shape optimization of functionals involving Steklov eigenvalues and apply it to the problem of maximization of the k-th Steklov eigenvalue, under volume constraint. A similar study in the planar case was already addressed in the literature using the boundary integral equation method. Here we extend that study to the 3D and 4D cases, using the Method of Fundamental Solutions as the forward solver.
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spelling Numerical calculation of extremal Steklov eigenvalues in 3D and 4DSteklov eigenvaluesShape optimizationMethod of fundamental solutionsWe develop a numerical method for solving shape optimization of functionals involving Steklov eigenvalues and apply it to the problem of maximization of the k-th Steklov eigenvalue, under volume constraint. A similar study in the planar case was already addressed in the literature using the boundary integral equation method. Here we extend that study to the 3D and 4D cases, using the Method of Fundamental Solutions as the forward solver.ElsevierRepositório AbertoAntunes, Pedro R. S.2023-11-20T01:30:17Z2021-11-192021-11-19T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.2/11814eng0898-122110.1016/j.camwa.2021.11.008info: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:RCAAP2023-11-26T01:47:37Zoai:repositorioaberto.uab.pt:10400.2/11814Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:51:09.250435Repositório 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 calculation of extremal Steklov eigenvalues in 3D and 4D
title Numerical calculation of extremal Steklov eigenvalues in 3D and 4D
spellingShingle Numerical calculation of extremal Steklov eigenvalues in 3D and 4D
Antunes, Pedro R. S.
Steklov eigenvalues
Shape optimization
Method of fundamental solutions
title_short Numerical calculation of extremal Steklov eigenvalues in 3D and 4D
title_full Numerical calculation of extremal Steklov eigenvalues in 3D and 4D
title_fullStr Numerical calculation of extremal Steklov eigenvalues in 3D and 4D
title_full_unstemmed Numerical calculation of extremal Steklov eigenvalues in 3D and 4D
title_sort Numerical calculation of extremal Steklov eigenvalues in 3D and 4D
author Antunes, Pedro R. S.
author_facet Antunes, Pedro R. S.
author_role author
dc.contributor.none.fl_str_mv Repositório Aberto
dc.contributor.author.fl_str_mv Antunes, Pedro R. S.
dc.subject.por.fl_str_mv Steklov eigenvalues
Shape optimization
Method of fundamental solutions
topic Steklov eigenvalues
Shape optimization
Method of fundamental solutions
description We develop a numerical method for solving shape optimization of functionals involving Steklov eigenvalues and apply it to the problem of maximization of the k-th Steklov eigenvalue, under volume constraint. A similar study in the planar case was already addressed in the literature using the boundary integral equation method. Here we extend that study to the 3D and 4D cases, using the Method of Fundamental Solutions as the forward solver.
publishDate 2021
dc.date.none.fl_str_mv 2021-11-19
2021-11-19T00:00:00Z
2023-11-20T01:30:17Z
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/10400.2/11814
url http://hdl.handle.net/10400.2/11814
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0898-1221
10.1016/j.camwa.2021.11.008
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 Elsevier
publisher.none.fl_str_mv Elsevier
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
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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
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