1 citations · 3 across the 4 of their papers we have counts for
4 papers
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…
Laplacian of the distance function on the cut locus on a riemannian manifold
François Générau
We show that, on a smooth riemannian manifold, the laplacian of the distance function to a point is in the sense of barriers, at every point of the cut locus with res…
Large volume minimizers of a non local isoperimetric problem: theoretical and numerical approaches
François Générau, Edouard Oudet
We consider the volume-constrained minimization of the sum of the perimeter and the Riesz potential. We add an external potential of the form that provides the existence…