Volume 11, Issue 1
Degenerate Anisotropic Elliptic Problems and Magnetized Plasma Simulations

Stéphane Brull, Pierre Degond & Fabrice Deluzet

Commun. Comput. Phys., 11 (2012), pp. 147-178.

Published online: 2012-11

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  • Abstract

This paper is devoted to the numerical approximation of a degenerate anisotropic elliptic problem. The numerical method is designed for arbitrary spacedependent 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.


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