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Journal Articles ESAIM: Proceedings Year : 2012

First order Two-Scale Particle-in-Cell numerical method for Vlasov equation

Abstract

The aim of this work is to build an accurate numerical method for the simulation of the long time evolution of the Vlasov solution $\feps$ with an electric field $\Eeps = E_0+ \eps E_1$ for small $\eps$. To this purpose, we use the Two-Scale Convergence theory to determine a first order approximation $F+\eps F_1$ of $\feps$\!, then particle approximations to build an algorithm to obtain a numerical approximation of $F+\eps F_1$.
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Dates and versions

hal-00654928 , version 1 (23-12-2011)
hal-00654928 , version 2 (12-01-2012)

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Emmanuel Frénod, Michaël Gutnic, Sever Adrian Hirstoaga. First order Two-Scale Particle-in-Cell numerical method for Vlasov equation. ESAIM: Proceedings, 2012, 38, pp.348--360. ⟨10.1051/proc/201238019⟩. ⟨hal-00654928v2⟩
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