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.
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页码：1661 / 1683
页数：23
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