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

引用

页码：1513 / 1539

页数：27

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