Structure preserving numerical methods for the Vlasov equation
Numerical Analysis
2018-08-14 v1
Abstract
To preserve a number of physically relevant invariants is a major concern when considering long time integration of the Vlasov equation. In the present work we consider the semi-Lagrangian discontinuous Galerkin method for the Vlasov-Poisson system. We discuss the performance of this method and compare it to cubic spline interpolation, where appropriate. In addition, numerical simulations for the two-stream instability are shown.
Cite
@article{arxiv.1604.02616,
title = {Structure preserving numerical methods for the Vlasov equation},
author = {Lukas Einkemmer},
journal= {arXiv preprint arXiv:1604.02616},
year = {2018}
}