@inproceedings{f68b2e4f45b44b608a65f7ff679608cb,
title = "Solving Vlasov-Maxwell equations by using Hamiltonian splitting",
abstract = "In this paper, we reformulate the Vlasov-Maxwell equations based on the Morrison-Marsden-Weinstein Poisson bracket. In order to get the numerical solutions preserving the Poisson bracket, we split the Hamiltonian of the Vlasov-Maxwell equations into five parts. We construct the numerical methods for the time direction via composing the exact solutions of subsystems. By combining an appropriate spatial discretization, we can prove that the resulting numerical discretization preserves the discrete Poisson bracket. We present numerical simulations for the problems of Landau damping and two-stream stability.",
keywords = "Hamiltonian splitting, Poisson bracket, Vlasov-Maxwell equations",
author = "Yingzhe Li and Yang He and Yajuan Sun and Jitse Niesen and Hong Qin and Jian Liu",
note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 ; Conference date: 19-09-2016 Through 25-09-2016",
year = "2017",
month = jul,
day = "21",
doi = "10.1063/1.4992343",
language = "English (US)",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, \{Theodore E.\} and Simos, \{Theodore E.\} and Charalambos Tsitouras",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016",
}