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A finite element approximation for grazing collisions

Abstract : In this article, we propose a finite element discretization of the Boltzmann-Lorentz operator for which it is possible to define a grazing collision limit. We illustrate this discretization by considering the evolution of a system of particles in a slab, subject to collisions both with the boundaries and with themselves. A comparison is made with isotropic collisions or with the Laplace-Beltrami operator. Moreover, in the case of multiplying boundary conditions, it is proven by numerical simulations the existence of a critical value the numerical results are compared with previous simulations.
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Contributor : Simona Mancini <>
Submitted on : Wednesday, October 24, 2012 - 10:42:54 PM
Last modification on : Wednesday, December 9, 2020 - 3:11:06 PM
Long-term archiving on: : Friday, January 25, 2013 - 2:25:09 AM


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  • HAL Id : hal-00076838, version 1


Brigitte Lucquin-Desreux, Simona Mancini. A finite element approximation for grazing collisions. Transport Theory and Statistical Physics, Taylor & Francis, 2003, 32, 3& 4, pp.293-319. ⟨hal-00076838⟩



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