1 citations · 2 across the 5 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.NA2020
Computation of Optimal Transport with Finite Volumes
Andrea Natale, Gabriele Todeschi
We construct Two-Point Flux Approximation (TPFA) finite volume schemes to solve the quadratic optimal transport problem in its dynamic form, namely the problem originally introduce…
math.NA2020
A mixed finite element discretization of dynamical optimal transport
Andrea Natale, Gabriele Todeschi
In this paper we introduce a new class of finite element discretizations of the quadratic optimal transport problem based on its dynamical formulation. These generalize to the fini…
math.NA2020
TPFA Finite Volume Approximation of Wasserstein Gradient Flows
Andrea Natale, Gabriele Todeschi
Numerous infinite dimensional dynamical systems arising in different fields have been shown to exhibit a gradient flow structure in the Wasserstein space. We construct Two Point Fl…