Local and parallel finite element algorithm for stationary incompressible magnetohydrodynamics

被引：18
|
作者：
Zhang, Yuhong [1 ]
Hou, Yanren [1 ,2 ]
Shan, Li [3 ]
Dong, Xiaojing [1 ]
机构：
[1] Xi An Jiao Tong Univ, Sch Math & Stat, Dept Comp Sci, Xian 710049, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Ctr Computat Geosci, Xian 710049, Shaanxi, Peoples R China
[3] Liaoning Tech Univ, Dept Comp Sci, Coll Sci, Fuxin 123000, Peoples R China
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2017年 / 33卷 / 05期
关键词：
local a priori estimates; local and parallel algorithm; stationary incompressible magnetohydrodynamics; two-grid discretization; DISCRETIZATIONS; PARTITION;
D O I：
10.1002/num.22151
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article presents a local and parallel finite element method for the stationary incompressible magnetohydrodynamics problem. The key idea of this algorithm comes from the two-grid discretization technique. Specifically, we solve the nonlinear system on a global coarse mesh, and then solve a series of linear problems on several subdomains in parallel. Furthermore, local a priori estimates are obtained on a general shape regular grid. The efficiency of the algorithm is also illustrated by some numerical experiments.(c) 2017 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 33: 1513-1539, 2017
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页码：1513 / 1539
页数：27
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