Finite Element Hodge for Spline Discrete Differential Forms. Application to the Vlasov-Poisson Equations.

Aurore Back (1) , Eric Sonnendrücker (2, 3)

1 CPT - Centre de Physique Théorique - UMR 7332
2 CALVI - Scientific computation and visualization
3 IPP - Max-Planck-Institut für Plasmaphysik [Garching]

The notion of B-spline based discrete differential forms is recalled and along with a Finite Element Hodge operator, it is used to design new numerical methods for solving the Vlasov-Poisson equations.

Mots clés: Numerical simulation.; Numerical simulation; Discrete differential forms; B-splines; Vlasov-Poisson

Domaines: Equations aux dérivées partielles [math.AP]

Aurore Back, Eric Sonnendrücker. Finite Element Hodge for Spline Discrete Differential Forms. Application to the Vlasov-Poisson Equations.. 2013. ⟨hal-00822160⟩