Analysis of a High Order Finite Volume Scheme for the Vlasov-Poisson System
Language
en
Article de revue
This item was published in
Discrete and Continuous Dynamical Systems - Series S. 2012, vol. 5, p. 283-305
American Institute of Mathematical Sciences
English 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 ...Read more >
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.Read less <
European Project
Numerical simulations and analysis of kinetic models - Applications to plasma physics and Nanotechnology
ANR Project
Méthodes Numériques pour les Equations Cinétiques - ANR-06-JCJC-0136
Origin
Hal imported