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A Finite Element Approximation of Grazing Collisions

A Finite Element Approximation of 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 …