2 citations · 7 across the 9 of their papers we have counts for
13 papers
Mixed volumes and the Blaschke-Lebesgue theorem
Beniamin Bogosel
The mixed area of a Reuleaux polygon and its symmetric with respect to the origin is expressed in terms of the mixed area of two explicit polygons. This gives a geometric explanati…
Optimization of the Steklov-Lamé eigenvalues with respect to the domain
Beniamin Bogosel, Pedro R. S. Antunes
This work deals with theoretical and numerical aspects related to the behavior of the Steklov-Lamé eigenvalues on variable domains. After establishing the eigenstructure for the di…
On the Polygonal Faber-Krahn Inequality
Beniamin Bogosel, Dorin Bucur
It has been conjectured by Pólya and Szegö seventy years ago that the planar set which minimizes the first eigenvalue of the Dirichlet-Laplace operator among polygons with side…
Numerical shape optimization among convex sets
Beniamin Bogosel
This article proposes a new discrete framework for approximating solutions to shape optimization problems under convexity constraints. The numerical method, based on the support fu…
Longest minimal length partitions
Beniamin Bogosel, Edouard Oudet
This article provides numerical evidence that under volume constraint the ball is the set which maximizes the perimeter of the least-perimeter partition into cells with prescribed…
Maximization of the Steklov eigenvalues with a diameter constraint
Abdelkader Al Sayed, Beniamin Bogosel, Antoine Henrot +1
In this paper, we address the problem of maximizing the Steklov eigenvalues with a diameter constraint. We provide an estimate of the Steklov eigenvalues for a convex domain in ter…