Speaker
daniele de gennaro
(Bocconi University)
Description
In the talk I will present some recent results obtained in collaboration with A. Chambolle and M. Morini, concerning some fully discrete (in both space and time) and explicit schemes for the mean curvature flow of boundaries. These schemes are based on an elementary diffusion step and a more costly redistancing operation. We give an elementary convergence proof for the schemes under the standard CFL condition. We will then discuss extensions to more general convolution-redistancing schemes, with the aim of laying the ground of a sound mathematical explanation of the very good results produced by fully learned approaches for the mean curvature flow, recently introduced in the literature.
