Numerical Methods for Hyperbolic and Kinetic Problems


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pp: 43–58

DOI: 10.4171/012-1/3

Adaptive numerical resolution of the Vlasov equation

M. Campos Pinto[1] and M. Mehrenberger[2]

(1) Université Pierre et Marie Curie, Paris, France
(2) Université Louis Pasteur, Strasbourg, France

A fully adaptive scheme (based on hierarchical continuous finite element decomposition) is derived from a semi-Lagrangian method for solving a periodic Vlasov–Poisson system. The first numerical results establish the validity of such a scheme.

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