Orateur
Thomas Gallouët
(Inria and Université Paris-Dauphine)
Description
Abstract: The talk will propose a variational finite volume scheme to approximate the solutions to Wasserstein gradient flows. The time discretization is based on an implicit linearization of the Wasserstein distance expressed thanks to Benamou-Brenier formula, whereas space discretization relies on upstream mobility two-point flux approximation finite volumes. The scheme is based on a first discretize then optimize approach in order to preserve the variational structure of the continuous model at the discrete level.
Join work with Clément Cancès and Gabriele Todeschi