12 citations · 17 across the 4 of their papers we have counts for
5 papers
Partial Optimal Transport for a Constant-Volume Lagrangian Mesh with Free Boundaries
Bruno Lévy
This article introduces a representation of dynamic meshes, adapted to some numerical simulations that require controlling the volume of objects with free boundaries, such as incom…
Simulating fluids with a computer: Introduction and recent advances
Bruno Levy
In this article, I present recent methods for the numerical simulation of fluid dynamics and the associated computational algorithms. The goal of this article is to explain how to…
Notions of optimal transport theory and how to implement them on a computer
Bruno Levy, Erica Schwindt
This article gives an introduction to optimal transport, a mathematical theory that makes it possible to measure distances between functions (or distances between more general obje…
A new one point quadrature rule over arbitrary star convex polygon/polyhedron
Sundararajan Natarajan, Amrita Francis, Elena Atroshchenko +1
The Linear Smoothing (LS) scheme \cite{francisa.ortiz-bernardin2017} ameliorates linear and quadratic approximations over convex polytopes by employing a three-point integration sc…
Low-order continuous finite element spaces on hybrid non-conforming hexahedral-tetrahedral meshes
Maxence Reberol, Bruno Lévy
This article deals with solving partial differential equations with the finite element method on hybrid non-conforming hexahedral-tetrahedral meshes. By non-conforming, we mean tha…