On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics

On an unconditionally convergent stabilized finite element approximation of resistive magnetohydrodynamics
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DOI:
10.1016/j.jcp.2012.09.031
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发表时间:
2013-02-01
影响因子:
4.1
通讯作者:
Planas, Ramon
Planas, Ramon
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Badia, Santiago;Codina, Ramon;Planas, Ramon

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在这项工作中,我们提出了一个新的稳定有限元公式来逼近电阻磁流体动力学方程。这个公式的新颖之处在于它总是收敛于物理解,即使是奇异解。为了验证我们的方法,进行了一组详细的数值实验。(C) 2012爱思唯尔公司版权所有。
In this work, we propose a new stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation is the fact that it always converges to the physical solution, even for singular ones. A detailed set of numerical experiments have been performed in order to validate our approach. (C) 2012 Elsevier Inc. All rights reserved.