Display Abstract

Title Uniformly accurate numerical method for highly oscillatory kinetic equations

Name Florian Mehats
Country France
Email florian.mehats@univ-rennes1.fr
Co-Author(s) Nicolas Crouseilles, Mohammed Lemou
Submit Time 2014-02-28 08:58:25
Session
Special Session 94: Homogenization based numerical methods
Contents
This work is devoted to the numerical simulation of a Vlasov-Poisson model describing a charged particle beam under the action of a rapidly oscillating external field. We construct a uniformly accurate numerical scheme for this kinetic equation in the highly oscillatory limit. This scheme enables to simulate the problem without using any time step refinement technique. Our method is based on a "two scale" reformulation of the initial equation, with the introduction of an additional periodic variable.