Degenerate anisotropic elliptic problems and magnetized plasma simulations

Stéphane Brull (1) , Pierre Degond (2) , Fabrice Deluzet (2)

1 IMB - Institut de Mathématiques de Bordeaux
2 IMT - Institut de Mathématiques de Toulouse UMR5219

This paper is devoted to the numerical approximation of a degenerate anisotropic elliptic problem. The numerical method is designed for arbitrary space-dependent anisotropy directions and does not require any specially adapted coordinate system. It is also designed to be equally accurate in the strongly and the mildly anisotropic cases. The method is applied to the Euler-Lorentz system, in the drift-fluid limit. This system provides a model for magnetized plasmas.

Domaines: Analyse numérique [math.NA]

Stéphane Brull, Pierre Degond, Fabrice Deluzet. Degenerate anisotropic elliptic problems and magnetized plasma simulations. Communications in Computational Physics, 2012, 11, pp.147-178. ⟨hal-00529596⟩