First order Two-Scale Particle-in-Cell numerical method for the Vlasov equation
Emmanuel Frénod, Michaël Gutnic, Sever A. Hirstoaga · ESAIM Proceedings · 2012
The aim of this work is to build an accurate numerical method for the simulation of the long time evolution of the Vlasov solution fε with an electric field Eε = E0 + εE1 for small ε. To this purpose, we use the Two-Scale Convergence to determine a first order approximation F + εF1 of fε. Then, by means of particle approximations we build an algorithm which is intended for providing a numerical approximation of F + εF1.