2 papers
math.NA2019
A variational finite volume scheme for Wasserstein gradient flows
Clément Cancès, Thomas O. Gallouët, Gabriele Todeschi
We 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 Wasse…
math.AP2016
Blow-up phenomena for gradient flows of discrete homogeneous functionals
Vincent Calvez, Thomas Gallouët
We investigate gradient flows of some homogeneous functionals in R^N , arising in the Lagrangian approximation of systems of self-interacting and diffusing particles. We focus on t…