Volume 18, Issue 2
Long Time Behaviour of an Exponential Integrator for a Vlasov-Poisson System with Strong Magnetic Field

Emmanuel Frenod ,  Sever A. Hirstoaga ,  Mathieu Lutz and Eric Sonnendrucker

10.4208/cicp.070214.160115a

Commun. Comput. Phys., 18 (2015), pp. 263-296.

Preview Full PDF BiBTex 89 419
  • Abstract

With the aim of solving in a four dimensional phase space a multi-scale Vlasov-Poisson system, we propose in a Particle-In-Cell framework a robust timestepping method that works uniformly when the small parameter vanishes. As an exponential integrator, the scheme is able to use large time steps with respect to the typical size of the solution’s fast oscillations. In addition, we show numerically that the method has accurate long time behaviour and that it is asymptotic preserving with respect to the limiting Guiding Center system.

  • History

Published online: 2018-04

  • Keywords

  • AMS Subject Headings

  • Cited by