@Article{CiCP-35-3,
author = {Ma, Chuwen and Shi, Jin},
title = {An Implicit, Asymptotic-Preserving and Energy-Charge-Conserving Method for the Vlasov-Maxwell System Near Quasi-Neutrality},
journal = {Communications in Computational Physics},
year = {2024},
volume = {35},
number = {3},
pages = {724--760},
abstract = {<p style="text-align: justify;">An implicit, asymptotic-preserving and energy-charge-conserving (APECC)
Particle-In-Cell (PIC) method is proposed to solve the Vlasov-Maxwell (VM) equations in the quasi-neutral regime. Charge conservation is enforced by particle orbital
averaging and fixed sub-time steps. The truncation error depending on the number of sub-time steps is further analyzed. The temporal discretization is chosen by
the Crank-Nicolson method to conserve the discrete energy exactly. The key step in
the asymptotic-preserving iteration for the nonlinear system is based on a decomposition of the current density deduced from the Vlasov equation in the source of the
Maxwell model. Moreover, we show that the convergence is independent of the quasi-neutral parameter. Extensive numerical experiments show that the proposed method
can achieve asymptotic preservation and energy-charge conservation.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2023-0133},
url = {https://global-sci.com/article/90938/an-implicit-asymptotic-preserving-and-energy-charge-conserving-method-for-the-vlasov-maxwell-system-near-quasi-neutrality}
}