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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Bibliographic Details

Published in:	Experimental mathematics Vol. 26; no. 4; pp. 381 - 395
Main Authors:	Bonnaillie-Noël, Virginie, Léna, Corentin
Format:	Journal Article
Language:	English
Published:	Taylor & Francis 02.10.2017
Subjects:	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
Online Access:	Get full text
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