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25 papers · 2 filters
Iterative Bregman Projections for Regularized Transportation Problems
Jean-David Benamou, Guillaume Carlier, Marco Cuturi +2
This article details a general numerical framework to approximate so-lutions to linear programs related to optimal transport. The general idea is to introduce an entropic regulariz…
A simple Cartesian scheme for compressible multimaterials
Yannick Gorsse, Angelo Iollo, Thomas Milcent +1
We present a simple numerical method to simulate the interaction of two non-miscible compressible materials separated by an interface. The media considered may have significantly d…
Convergence of finite volumes schemes for the coupling between the inviscid Burgers equation and a particle
Nina Aguillon, Frédéric Lagoutière, Nicolas Seguin
In this paper, we prove the convergence of a class of finite volume schemes for the model of coupling between a Burgers fluid and a pointwise particle introduced in [LST08]. In thi…
Periodic homogenization using the Lippmann--Schwinger formalism
Sebastien Brisard, Frederic Legoll
When homogenizing elliptic partial differential equations, the so-called corrector problem is pivotal to compute the macroscale effective coefficients from the microscale informati…
Monte Carlo methods for linear and non-linear Poisson-Boltzmann equation
Mireille Bossy, Nicolas Champagnat, Helene Leman +3
The electrostatic potential in the neighborhood of a biomolecule can be computed thanks to the non-linear divergence-form elliptic Poisson-Boltzmann PDE. Dedicated Monte-Carlo meth…
Monotone and Consistent discretization of the Monge-Ampere operator
Jean-David Benamou, Francis Collino, Jean-Marie Mirebeau
We introduce a novel discretization of the Monge-Ampere operator, simultaneously consistent and degenerate elliptic, hence accurate and robust in applications. These properties are…