Asymptotically preserving particle-in-cell methods for inhomogenous strongly magnetized plasmas

Asymptotic behavior for the Vlasov-Poisson equations with strong uniform magnetic field and general initial conditions... We study the asymptotic behavior of the

We discuss the asymptotic behavior of the Vlasov-Poisson system in the framework of the magnetic confinement, that is, under a strong external mag- netic field.. We concentrate

Abstract: We study here the finite Larmor radius regime for the Vlasov-Poisson equations with strong external magnetic field.. The derivation of the limit model follows by

In this paper, we have presented a complete convergence analysis of particle-in-cell methods for the two-dimensional Vlasov equation, with a given electric field, submitted to

This is to be compared to the behaviour of classical schemes for the fluid models (i.e. the Euler-Poisson problem in the quasineutral limit) [12], where it has been observed that

The new asymptotic model is composed of two two dimensional transport equations for the distribution functions of ions and electrons respectively, averaging in the velocity

A particle method for Vlasov-Poisson system with a strong magnetic field The numerical resolution of the Vlasov equation and related models is usually performed by

This work focuses on the numerical solution of a multiscale, four-dimensional Vlasov-Poisson equation which statistically describes the evolution in time of charged particles under