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Charge-conserving grid based methods for the Vlasov–Maxwell equations

Abstract : In this article we introduce numerical schemes for the Vlasov-Maxwell equations relying on different kinds of grid based Vlasov solvers, as oppo-site to PIC schemes, that enforce a discrete continuity equation. The idea underlying this schemes relies (see [14]) on a time splitting scheme between configuration space and velocity space for the Vlasov equation and on the computation of the discrete current in a form that is compatible with the discrete Maxwell solver.
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Contributor : Nicolas Crouseilles <>
Submitted on : Thursday, December 4, 2014 - 6:46:37 AM
Last modification on : Friday, July 10, 2020 - 4:18:05 PM
Long-term archiving on: : Monday, March 9, 2015 - 5:54:37 AM


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Nicolas Crouseilles, Pierre Navaro, Eric Sonnendrücker. Charge-conserving grid based methods for the Vlasov–Maxwell equations. Comptes Rendus Mécanique, Elsevier Masson, 2014, 342, pp.636 - 646. ⟨10.1016/j.crme.2014.06.012⟩. ⟨hal-01090678⟩



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