@Article{CiCP-28-3,
author = {Michel, Mehrenberger and Navoret, Laurent and Pham, Nhung},
title = {Recurrence Phenomenon for Vlasov-Poisson Simulations on Regular Finite Element Mesh},
journal = {Communications in Computational Physics},
year = {2020},
volume = {28},
number = {3},
pages = {877--901},
abstract = {<p style="text-align: justify;">In this paper, we focus on one difficulty arising in the numerical simulation of the Vlasov-Poisson system: when using a regular grid-based solver with periodic boundary conditions, perturbations present at the initial time artificially reappear at a later time. For regular finite-element mesh in velocity, we show that this
recurrence time is actually linked to the spectral accuracy of the velocity quadrature
when computing the charge density. In particular, choosing trigonometric quadrature
weights optimally defers the occurrence of the recurrence phenomenon. Numerical results using the Semi-Lagrangian Discontinuous Galerkin and the Finite Element/Semi-Lagrangian method confirm the analysis.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2019-0022},
url = {https://global-sci.com/article/79706/recurrence-phenomenon-for-vlasov-poisson-simulations-on-regular-finite-element-mesh}
}