A parallel finite element method for incompressible magnetohydrodynamics equations

被引：7
|
作者：
Dong, Xiaojing [1 ,2 ]
He, Yinnian [3 ]
机构：
[1] Xiangtan Univ, Key Lab Intelligent Comp & Informat Proc, Hunan Key Lab Computat & Simulat Sci & Engn, Minist Educ,Sch Math & Computat Sci, Xiangtan 411105, Peoples R China
[2] Inst Appl Phys & Computat Math, POB 8009, Beijing 100088, Peoples R China
[3] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2020年 / 102卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Partition of unity method; Local and parallel algorithm; Finite element; Picard iteration; Stationary incompressible; magnetohydrodynamics; ITERATIVE METHODS; PARTITION; FLOW;
D O I：
10.1016/j.aml.2019.106076
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Based on the partition of unity method (PUM), a parallel finite element method (FEM) is designed for stationary incompressible magnetohydrodynamics (MHD) equations. The nonlinear problem is solved globally on a coarse grid, and then correction subproblems on corresponding subdomains with fine meshes are computed in parallel by Picard iteration. The subdomains are generated by a class of partition of unity, which gives a flexible and controllable way to decompose the domain. The optimal error estimate is proved. The validity of the proposed algorithm is testified by numerical examples. (C) 2019 Elsevier Ltd. All rights reserved.
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页数：9
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