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Computing Beltrami Fields

Abstract : For solving the nonlinear equations governing force-free fields, an iterative methodology based on the splitting of the problem is described. On the basis of this splitting, three families of subproblems have to be solved numerically. The first problem consists to find a potential field. A mixed hybrid method is used to solve it. The second problem, which is a curl-div system, is solved by means of a mixed method. The last problem is a transport equation which is approximated using a streamline diffusion technique. Numerical three-dimensional experiments and results are given to illustrate the efficiency of the method.
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https://hal.archives-ouvertes.fr/hal-00414389
Contributor : Cédric Boulbe Connect in order to contact the contributor
Submitted on : Thursday, November 26, 2009 - 7:36:04 PM
Last modification on : Thursday, August 4, 2022 - 5:05:30 PM
Long-term archiving on: : Tuesday, June 15, 2010 - 9:35:06 PM

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  • HAL Id : hal-00414389, version 1

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Tahar Amari, Cédric Boulbe, Tahar Zamène Boulmezaoud. Computing Beltrami Fields. SIAM Journal on Scientific Computing, 2009, 31 (5), pp. 3217-3254. ⟨hal-00414389⟩

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