Two-Level Penalty Newton Iterative Method for the 2D/3D Stationary Incompressible Magnetohydrodynamics Equations

被引：25
|
作者：
Su, Haiyan [1 ]
Feng, Xinlong [1 ]
Zhao, Jianping [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2017年 / 70卷 / 03期
关键词：
Magnetohydrodynamics equations; Penalty finite element method; Newton iteration; Two-level method; Inf-sup condition; Error estimate; NAVIER-STOKES EQUATIONS; MAGNETO-HYDRODYNAMICS EQUATIONS; FINITE-ELEMENT APPROXIMATION; MHD EQUATIONS; DISCRETIZATION;
D O I：
10.1007/s10915-016-0276-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This work is concerned with the study of two-level penalty finite element method for the 2D/3D stationary incompressible magnetohydrodynamics equations. The new method is an interesting combination of the Newton iteration and two-level penalty finite element algorithm with two different finite element pairs P(1)b-P-1-P(1)b and P-1-P-0-P-1. Moreover, the rigorous analysis of stability and error estimate for the proposed method are given. Numerical results verify the theoretical results and show the applicability and effectiveness of the presented scheme.
引用
收藏
页码：1144 / 1179
页数：36
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