Spectral Minimal Partitions for a Family of Tori

DOI10.1080/10586458.2016.1183154zbMath1379.49039arXiv1503.04545OpenAlexW1836511966MaRDI QIDQ4595623

Corentin Léna, Virginie Bonnaillie-Noël

Publication date: 5 December 2017

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.04545

zbMATH Keywords

finite difference methodshape optimizationminimal partitionsprojected gradient algorithmDirichlet-Laplacian eigenvalues

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Optimization of shapes other than minimal surfaces (49Q10) Finite difference methods for boundary value problems involving PDEs (65N06) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Variational methods for eigenvalues of operators (49R05)

Related Items (4)

A minimal surface criterion for graph partitioning ⋮ Spectral stability under removal of small capacity sets and applications to Aharonov-Bohm operators ⋮ Courant-sharp property for Dirichlet eigenfunctions on the Möbius strip ⋮ Interlacing and Friedlander-type inequalities for spectral minimal partitions of metric graphs

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