'American Institute of Mathematical Sciences (AIMS)'
Abstract
We propose a second order finite volume scheme to discretize the one-dimensional Vlasov-Poisson system with boundary conditions. For this problem, a rather general initial and boundary data lead to a unique solution with bounded variations but such a solution becomes discontinuous when the external voltage is large enough. We prove that the numerical approximation converges to the weak solution and show the efficiency of the scheme to simulate beam propagation with several particle species.Méthodes Numériques pour les Equations CinétiquesNumerical simulations and analysis of kinetic models - Applications to plasma physics and Nanotechnolog
