Local and parallel finite element algorithms for magnetohydrodynamic flows with low electromagnetic Reynolds number

被引：0

作者：

Mi, Shilin ^{[1
]}

Du, Guangzhi ^{[1
]}

Rong, Yao ^{[2
]}

机构：

[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Peoples R China

[2] Shenzhen Technol Univ, Coll Engn Phys, Shenzhen 518118, Guangdong, Peoples R China

来源：

NUMERICAL ALGORITHMS | 2023年 / 93卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Magnetohydrodynamic flows; Two-grid discretizations; Parallel algorithms; Partition of unity; ITERATIVE METHODS; 2-GRID DISCRETIZATIONS; DECOUPLED SCHEMES; MHD FLOW; STATIONARY; PARTITION; UNITY; EQUATIONS; NEWTON;

D O I：

10.1007/s11075-022-01484-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, some local and parallel finite element algorithms are proposed and investigated for the magnetohydrodynamic flows with low electromagnetic Reynolds number. For a solution to this problem, it comprises of two main components, the low-frequency components and the high-frequency components. Motivated by this, we obtain the low-frequency components globally via some relatively coarse grid and catch the high-frequency components locally using a fine grid by some local and parallel procedures. Some local a priori estimates that are crucial for our theoretical analysis are derived. The optimal error estimates are rigorously derived and some numerical tests are reported to support our theoretical findings.

引用

页码：1661 / 1683

页数：23

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