3 citations · 5 across the 6 of their papers we have counts for
3 papers · 1 filter
Computation of free boundary minimal surfaces via extremal Steklov eigenvalue problems
Chiu-Yen Kao, Braxton Osting, Èdouard Oudet
Recently Fraser and Schoen showed that the solution of a certain extremal Steklov eigenvalue problem on a compact surface with boundary can be used to generate a free boundary mini…
Numerical computation of the cut locus via a variational approximation of the distance function
François Générau, Édouard Oudet, Bozhidar Velichkov
We propose a new method for the numerical computation of the cut locus of a compact submanifold of without boundary. This method is based on a convex variational pro…
Cut locus on compact manifolds and uniform semiconcavity estimates for a variational inequality
François Générau, Edouard Oudet, Bozhidar Velichkov
We study a family of gradient obstacle problems on a compact Riemannian manifold. We prove that the solutions of these free boundary problems are uniformly semiconcave and, as a co…