A consistent projection finite element method for the incompressible MHD equations

被引：12
|
作者：
Yang, Yang [1 ]
Si, Zhiyong [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo, Henan, Peoples R China
来源：
APPLICABLE ANALYSIS | 2021年 / 100卷 / 12期
关键词：
Incompressible MHD equations; consistent projection method; finite element method; optimal error estimates; GAUGE-UZAWA METHOD; NUMERICAL-ANALYSIS; DECOUPLED SCHEMES; ERROR ESTIMATE; STOKES; STATIONARY; DISCRETIZATION; APPROXIMATION;
D O I：
10.1080/00036811.2019.1695782
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a consistent projection finite element method for the impressible MHD (MagnetoHydroDynamics) equations. It's a fully discrete projection method, which associates the virtues of both the gauge and Uzawa methods with a variational framework. We also testify the unconditional stability and error estimates of the velocity, pressure and magnetic field by the variational method using some assumptions. Finally, we present some numerical experiments to support the validity of the consistent projection finite element method.
引用
收藏
页码：2606 / 2626
页数：21
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