PDF e-Pub

## Section: New Results

### Recurrence phenomenon for finite element grid based Vlasov solver

Participants: L. Navoret, M. Mehrenberger, N. Pham

We have improved our previous (last year) result concerning the recurrence phenomenon by providing a complete proof of the asymptotic behaviour of the correlation function. Indeed, we prove that, in the fine grid limit, the correlation function of the density exactly concentrates at multiple times of the recurrence time. This thus fully confirms the fact the amplitude of the recurrence phenomenon is actually linked to the spectral accuracy of the velocity quadrature when computing the charge density at least for the linear transport equation.