Minimal partitions for \(p\)-norms of eigenvalues

DOI10.4171/IFB/399zbMath1394.49039arXiv1612.07296OpenAlexW2584525130MaRDI QIDQ1650260

Virginie Bonnaillie-Noël, Beniamin Bogosel

Publication date: 2 July 2018

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07296

zbMATH Keywords

shape optimizationnumerical simulationsminimal partitionsDirichlet-Laplacian eigenvalues

Mathematics Subject Classification ID

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)

Related Items (4)

A theory of spectral partitions of metric graphs ⋮ A level set method for the Dirichlet \(k\)-partition problem ⋮ Interlacing and Friedlander-type inequalities for spectral minimal partitions of metric graphs ⋮ Phase field approach to optimal packing problems and related Cheeger clusters

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