Spectral Minimal Partitions for a Family of Tori

We study partitions of the two-dimensional flat torus into k domains, with b a real parameter in (0, 1] and k an integer. We look for partitions which minimize the energy, defined as the largest first eigenvalue of the Dirichlet Laplacian on the domains of the partition. We are in particular interes...

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Vydané v:	Experimental mathematics Ročník 26; číslo 4; s. 381 - 395
Hlavní autori:	Bonnaillie-Noël, Virginie, Léna, Corentin
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Taylor & Francis 02.10.2017
Predmet:	Dirichlet-Laplacian eigenvalues finite difference method Mathematics minimal partitions Numerical Analysis Primary 49Q10 projected gradient algorithm Secondary 35J05 shape optimization Spectral Theory Projected gradient algorithm Minimal partitions Dirichlet-Laplacian eigenvalues Shape optimization Finite difference method
ISSN:	1058-6458, 1944-950X
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