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

Stéphane Brull, Pierre Degond & Fabrice Deluzet

DOI: 10.4208/cicp.301010.180311a

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 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.


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@Article{CiCP-11-147, author = {Stéphane Brull, Pierre Degond and Fabrice Deluzet}, title = {Degenerate Anisotropic Elliptic Problems and Magnetized Plasma Simulations}, journal = {Communications in Computational Physics}, year = {2012}, volume = {11}, number = {1}, pages = {147--178}, abstract = {

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.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.301010.180311a}, url = {http://global-sci.org/intro/article_detail/cicp/7357.html} }
TY - JOUR T1 - Degenerate Anisotropic Elliptic Problems and Magnetized Plasma Simulations AU - Stéphane Brull, Pierre Degond & Fabrice Deluzet JO - Communications in Computational Physics VL - 1 SP - 147 EP - 178 PY - 2012 DA - 2012/11 SN - 11 DO - http://doi.org/10.4208/cicp.301010.180311a UR - https://global-sci.org/intro/article_detail/cicp/7357.html KW - AB -

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.


Stéphane Brull, Pierre Degond and Fabrice Deluzet. (2012). Degenerate Anisotropic Elliptic Problems and Magnetized Plasma Simulations. Communications in Computational Physics. 11 (1). 147-178. doi:10.4208/cicp.301010.180311a
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