21 citations · 47 across the 8 of their papers we have counts for
5 papers · 1 filter
From geodesic extrapolation to a variational BDF2 scheme for Wasserstein gradient flows
Thomas Gallouët, Andrea Natale, Gabriele Todeschi
We introduce a time discretization for Wasserstein gradient flows based on the classical Backward Differentiation Formula of order two. The main building block of the scheme is the…
Convergence of a Lagrangian discretization for barotropic fluids and porous media flow
Thomas Gallouët, Quentin Merigot, Andrea Natale
When expressed in Lagrangian variables, the equations of motion for compressible (barotropic) fluids have the structure of a classical Hamiltonian system in which the potential ene…
An unbalanced Optimal Transport splitting scheme for general advection-reaction-diffusion problems
Thomas Gallouët, Maxime Laborde, Léonard Monsaingeon
In this paper, we show that unbalanced optimal transport provides a convenient framework to handle reaction and diffusion processes in a unified metric framework. We use a construc…
Incompressible immiscible multiphase flows in porous media: a variational approach
Clément Cancès, Thomas Gallouët, Leonard Monsaingeon
We describe the competitive motion of (N + 1) incompressible immiscible phases within a porous medium as the gradient flow of a singular energy in the space of non-negative measure…
A JKO splitting scheme for Kantorovich-Fisher-Rao gradient flows
Thomas Gallouët, Léonard Monsaingeon
In this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric, recently introduced and defined…