Convergence of a semi-Lagrangian scheme for the reduced Vlasov-Maxwell system for laser-plasma interaction

Mihai Bostan (1) , Nicolas Crouseilles (2, 3)

1 LATP - Laboratoire d'Analyse, Topologie, Probabilités
2 IPSO - Invariant Preserving SOlvers
3 IRMAR - Institut de Recherche Mathématique de Rennes

The subject matter of this paper concerns the numerical approximation of reduced Vlasov-Maxwell models by semi-Lagrangian schemes. Such reduced systems have been introduced recently in the literature for studying the laser-plasma interaction. We recall the main existence and uniqueness results on these topics, we present the semi-Lagrangian scheme and finally we establish the convergence of this scheme.

Domaines: Analyse numérique [math.NA]

Mihai Bostan, Nicolas Crouseilles. Convergence of a semi-Lagrangian scheme for the reduced Vlasov-Maxwell system for laser-plasma interaction. Numerische Mathematik, 2009, 112, pp.169-195. ⟨hal-00773420⟩