Convergence of a semi-Lagrangian scheme for the one-dimensional Vlasov-Poisson system

Nicolas Besse (1, 2, 3)

1 IJL - Institut Jean Lamour
2 CALVI - Scientific computation and visualization
3 IECN - Institut Élie Cartan de Nancy

A semi-Lagrangian scheme is proposed for solving the periodic one-dimensional Vlasov-Poisson system in phase space on unstructured meshes. The distribution function f(t, x, v) and the electric field E(t, x) are shown to converge to the exact solution values in the L∞ norm. The rate of convergence is in O(h4/3).

Mots clés: Vlasov-Poisson system; semi-Lagrangian methods; convergence analysis

Domaines: Analyse numérique [math.NA]

Nicolas Besse. Convergence of a semi-Lagrangian scheme for the one-dimensional Vlasov-Poisson system. SIAM Journal on Numerical Analysis, 2004, 42 (1), pp.350-382. ⟨10.1137/S0036142902410775⟩. ⟨hal-00594782⟩