Analysis of a High Order Finite Volume Scheme for the Vlasov-Poisson System
Idioma
en
Article de revue
Este ítem está publicado en
Discrete and Continuous Dynamical Systems - Series S. 2012, vol. 5, p. 283-305
American Institute of Mathematical Sciences
Resumen en inglés
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 ...Leer más >
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.< Leer menos
Proyecto europeo
Numerical simulations and analysis of kinetic models - Applications to plasma physics and Nanotechnology
Proyecto ANR
Méthodes Numériques pour les Equations Cinétiques - ANR-06-JCJC-0136
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