Parametric shape optimization using the support function

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorAntunes, Pedro R. S.-
Autor(es): dc.creatorBogosel, Beniamin-
Data de aceite: dc.date.accessioned2022-09-01T13:01:00Z-
Data de disponibilização: dc.date.available2022-09-01T13:01:00Z-
Data de envio: dc.date.issued2022-03-08-
Data de envio: dc.date.issued2022-03-08-
Data de envio: dc.date.issued2021-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/10400.2/11815-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/10400.2/11815-
Descrição: dc.descriptionThe optimization of shape functionals under convexity, diameter or constant width constraints shows numerical challenges. The support function can be used in order to approximate solutions to such problems by finite dimensional optimization problems under various constraints. We propose a numerical framework in dimensions two and three and we present applications from the field of convex geometry. We consider the optimization of functionals depending on the volume, perimeter and Dirichlet Laplace eigenvalues under the aforementioned constraints. In particular we confirm numerically Meissner's conjecture, regarding three dimensional bodies of constant width with minimal volume.-
Descrição: dc.descriptioninfo:eu-repo/semantics/acceptedVersion-
Idioma: dc.languageen-
Publicador: dc.publisherSpringer-
Direitos: dc.rightsrestrictedAccess-
Palavras-chave: dc.subjectShape optimization-
Palavras-chave: dc.subjectSupport function-
Palavras-chave: dc.subjectNumerical simulations-
Palavras-chave: dc.subjectConvexity-
Título: dc.titleParametric shape optimization using the support function-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Aberto - Universidade Aberta (Portugal)

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