23 citations · 41 across the 30 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.OC2022
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…
math.OC2022
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…
math.OC2022★ 1 cited
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…