François Générau

most citedNumerical computation of the cut locus via a variational approximation of the distance function

1 citations · 2 across the 2 of their papers we have counts for

collaborators

3 papers

math.NA2020★ 1 cited

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 $R^{3}$ without boundary. This method is based on a convex variational pro…

math.AP2020★ 1 cited

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…

math.DG2019

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 $b$ is $- \infty$ in the sense of barriers, at every point of the cut locus with res…