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

Mihai Bostan (1) , Nicolas Crouseilles (2)

1 LMB - Laboratoire de Mathématiques de Besançon (UMR 6623)
2 CALVI - Scientific computation and visualization

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.

Mots clés: Vlasov-Maxwell model; semi-Lagrangian method; convergence of numerical scheme

Domaines: Physique Numérique [physics.comp-ph]

Mihai Bostan, Nicolas Crouseilles. Convergence of a semi-Lagrangian scheme for the reduced Vlasov-Maxwell system for laser-plasma interaction. [Research Report] RR-6452, INRIA. 2008. ⟨inria-00221359v3⟩