Degenerate anisotropic elliptic problems and magnetized plasma simulations.

Stéphane Brull (1) , Pierre Degond (2) , Fabrice Deluzet (3)

1 IMB - Institut de Mathématiques de Bordeaux
2 Department of Mathematics [Imperial College London]
3 IMT - Institut de Mathématiques de Toulouse UMR5219

This paper is devoted to the numerical approximation of a degen- erate anisotropic elliptic problem. The numerical method is designed for arbitrary space-dependent anisotropy directions and does not re- quire 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: Equations aux dérivées partielles [math.AP]

Stéphane Brull, Pierre Degond, Fabrice Deluzet. Degenerate anisotropic elliptic problems and magnetized plasma simulations.. Communications in Computational Physics, 2012, 11, pp.147-178. ⟨hal-01024855⟩