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Publicação
Numerical minimization of dirichlet laplacian eigenvalues of four-dimensional geometries
Autores
Antunes, Pedro R. S.
Orientador(es)
Resumo(s)
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.
Descrição
Palavras-chave
Dirichlet laplacian Eigenvalues Higher dimensional space Shape optimization
Contexto Educativo
Citação
Editora
SIAM