An adaptive numerical method for the Vlasov equation based on a multiresolution analysis.

Nicolas Besse (1, 2) , Francis Filbet (1) , Michaël Gutnic (1) , Ioana Paun (1) , Eric Sonnendrücker (1)

1 IRMA - Institut de Recherche Mathématique Avancée
2 DAM/DIF - DAM Île-de-France

In this paper, we present very first results for the adaptive solution on a grid of the phase space of the Vlasov equation arising in particles accelarator and plasma physics. The numerical algorithm is based on a semi-Lagrangian method while adaptivity is obtained using multiresolution analysis.

Mots clés: Vlasov equation; semi-Lagrangian method; multiresolution analysis

Domaines: Analyse numérique [math.NA]

Nicolas Besse, Francis Filbet, Michaël Gutnic, Ioana Paun, Eric Sonnendrücker. An adaptive numerical method for the Vlasov equation based on a multiresolution analysis.. 2003, pp.437--446. ⟨hal-00141375⟩