23 citations · 41 across the 30 of their papers we have counts for
5 papers · 1 filter
Minimal Partitions for p-norms of Eigenvalues
Virginie Bonnaillie-Noel, Beniamin Bogosel
In this article we are interested in studying partitions of the square, the disk and the equilateral triangle which minimize a p-norm of eigenvalues of the Dirichlet-Laplace operat…
Numerical study of optimal partitioning problems in relation to an anisotropic perimeter
Beniamin Bogosel
We present a -convergence approximation for the total anisotropic length of a partition. This theoretical result gives rise to a numerical method which allows the study of minim…
Partitions of Minimal Length on Manifolds
Beniamin Bogosel, Edouard Oudet
We study partitions on three dimensional manifolds which minimize the total geodesic perimeter. We propose a relaxed framework based on a -convergence result and we show some nu…
A Multiphase Shape Optimization Problem for Eigenvalues: Qualitative Study and Numerical Results
Beniamin Bogosel, Bozhidar Velichkov
We consider the multiphase shape optimization problem where is a giv…
Regularity result for a shape optimization problem under perimeter constraint
Beniamin Bogosel
We study the problem of optimizing the eigenvalues of the Dirichlet Laplace operator under perimeter constraint. We prove that optimal sets are analytic outside a closed singular s…