357 citations · 864 across the 37 of their papers we have counts for
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Inverse Lax-Wendroff method for boundary conditions of Boltzmann type models
Francis Filbet, Chang Yang
In this paper we present a new algorithm based on a Cartesian mesh for the numerical approximation of kinetic models on complex geometry boundary. Due to the high dimensional prope…
A Rescaling Velocity Method for Dissipative Kinetic Equations - Applications to Granular Media
Francis Filbet, Thomas Rey
We present a new numerical algorithm based on a relative energy scaling for collisional kinetic equations allowing to study numerically their long time behavior, without the usual…
On discrete functional inequalities for some finite volume schemes
Marianne Bessemoulin-Chatard, Claire Chainais-Hillairet, Francis Filbet
We prove several discrete Gagliardo-Nirenberg-Sobolev and Poincaré-Sobolev inequalities for some approximations with arbitrary boundary values on finite volume meshes. The keypoint…