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Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson

Discontinuous Galerkin semi-Lagrangian method for Vlasov-Poisson

We present a discontinuous Galerkin scheme for the numerical approximation of the one-dimensional periodic Vlasov-Poisson equation. The scheme is based on a Galerkin-characteristics method in which the distribution function is projected onto a space of discontinuous functions. We present comparisons with a semi-Lagrangian method to emphasize the good behavior of …