5 citations · 5 across the 3 of their papers we have counts for
4 papers
Strong c-concavity and stability in optimal transport
Anatole Gallouët, Quentin Mérigot, Boris Thibert
The stability of solutions to optimal transport problems under variation of the measures is fundamental from a mathematical viewpoint: it is closely related to the convergence of n…
Metasurfaces and Optimal transport
Cristian E. Gutiérrez, Qingbo Huang, Quentin Mérigot +1
This paper provides a theoretical and numerical approach to show existence, uniqueness, and the numerical determination of metalenses refracting radiation with energy patterns. The…
Lagrangian discretization of crowd motion and linear diffusion
Hugo Leclerc, Quentin Mérigot, Filippo Santambrogio +1
We study a model of crowd motion following a gradient vector field, with possibly additional interaction terms such as attraction/repulsion, and we present a numerical scheme for i…
A Lagrangian scheme for the incompressible Euler equation using optimal transport
Thomas Gallouët, Quentin Mérigot
We approximate the regular solutions of the incompressible Euler equation by the solution of ODEs on finite-dimensional spaces. Our approach combines Arnold's interpretation of the…