ANALYSIS OF A HIGH ORDER FINITE VOLUME SCHEME FOR THE 1D VLASOV-POISSON SYSTEM

作者:Filbet Francis*; Duclous Roland; Dubroca Bruno
来源:Discrete and Continuous Dynamical Systems - Series S, 2012, 5(2): 283-305.
DOI:10.3934/dcdss.2012.5.283

摘要

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.

  • 出版日期2012-4
  • 单位中国地震局