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

dc.contributor.authorAntunes, Pedro R. S.
dc.date.accessioned2022-03-08T17:00:18Z
dc.date.available2023-11-20T01:30:17Z
dc.date.issued2021-11-19
dc.description.abstractWe 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.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.doi10.1016/j.camwa.2021.11.008pt_PT
dc.identifier.issn0898-1221
dc.identifier.urihttp://hdl.handle.net/10400.2/11814
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherElsevierpt_PT
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0898122121004053pt_PT
dc.subjectSteklov eigenvaluespt_PT
dc.subjectShape optimizationpt_PT
dc.subjectMethod of fundamental solutionspt_PT
dc.titleNumerical calculation of extremal Steklov eigenvalues in 3D and 4Dpt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage58pt_PT
oaire.citation.startPage50pt_PT
oaire.citation.titleComputers & Mathematics with Applicationspt_PT
oaire.citation.volume104pt_PT
person.familyNameAntunes
person.givenNamePedro
person.identifier.ciencia-id6710-138C-A69D
person.identifier.orcid0000-0003-1969-1860
person.identifier.ridM-2406-2015
person.identifier.scopus-author-id55346859100
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationbef314d2-4a78-4fba-aecd-9f4e8e19e70c
relation.isAuthorOfPublication.latestForDiscoverybef314d2-4a78-4fba-aecd-9f4e8e19e70c

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