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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