Streamline Diffusion Finite Element Method for Stationary Incompressible Magnetohydrodynamics

被引：23
|
作者：
Zhang, Guo-Dong [1 ]
He, Yinnian [1 ]
Zhang, Yan [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, State Key Lab Multiphase Flow Power Engn, Xian 710049, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2014年 / 30卷 / 06期
关键词：
LBB condition; magnetohydrodynamics; streamline diffusion finite element method; NAVIER-STOKES EQUATIONS; MAGNETO-HYDRODYNAMICS; APPROXIMATION;
D O I：
10.1002/num.21882
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a streamline diffusion finite element method is proposed and analyzed for stationary incompressible magnetohydrodynamics (MHD) equations. This method is stable for any combinations of velocity, pressure, and magnet finite element spaces, without requiring Ladyzenskaja-Babuska-Brezzi (LBB) condition. The well-posedness and convergence (at optimal error rate) of this scheme are proved in terms of some conditions. Two numerical experiments are illustrated to validate our theoretical analysis and show the streamline diffusion finite element approach is effective for solving the MHD problems. (C) 2014 Wiley Periodicals, Inc.
引用
收藏
页码：1877 / 1901
页数：25
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