BooksirmaCollected Volumepp. 43–58

Adaptive numerical resolution of the Vlasov equation

  • M. Campos Pinto

    Université Pierre et Marie Curie, Paris, France

  • M. Mehrenberger

    Université Louis Pasteur, Strasbourg, France
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Abstract

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.