Adaptive numerical resolution of the Vlasov equation.

Martin Campos Pinto (1) , Michel Mehrenberger (2)

1 LJLL - Laboratoire Jacques-Louis Lions
2 IRMA - Institut de Recherche Mathématique Avancée

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.

Domaines: Analyse numérique [math.NA]

Martin Campos Pinto, Michel Mehrenberger. Adaptive numerical resolution of the Vlasov equation.. Numerical Methods for Hyperbolic and Kinetic Problems, 7, EMS, pp 43--58, 2005, IRMA Lectures in Mathematics and Theoretical Physics, ⟨10.4171/012-1/3⟩. ⟨hal-00137877⟩