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
收藏
页码：1513 / 1539
页数：27
相关论文
共 50 条
  • [1] Analysis of Local and Parallel Algorithm for Incompressible Magnetohydrodynamics Flows by Finite Element Iterative Method
    Tang, Qili
    Huang, Yunqing
    COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 25 (03) : 729 - 751
  • [2] A parallel finite element algorithm for nonstationary incompressible magnetohydrodynamics equations
    Tang, Qili
    INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & FLUID FLOW, 2018, 28 (07) : 1579 - 1595
  • [3] A parallel finite element method for incompressible magnetohydrodynamics equations
    Dong, Xiaojing
    He, Yinnian
    APPLIED MATHEMATICS LETTERS, 2020, 102
  • [4] Parallel finite element computation of incompressible magnetohydrodynamics based on three iterations
    Tang, Qili
    Huang, Yunqing
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2022, 43 (01) : 141 - 154
  • [5] Local and Parallel Finite Element Algorithm Based on Oseen-Type Iteration for the Stationary Incompressible MHD Flow
    Tang, Qili
    Huang, Yunqing
    JOURNAL OF SCIENTIFIC COMPUTING, 2017, 70 (01) : 149 - 174
  • [6] Local and Parallel Finite Element Algorithm Based on Oseen-Type Iteration for the Stationary Incompressible MHD Flow
    Qili Tang
    Yunqing Huang
    Journal of Scientific Computing, 2017, 70 : 149 - 174
  • [7] The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics
    Dong, Xiaojing
    He, Yinnian
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2017, 9 (04) : 775 - 794
  • [8] A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations
    Huang, Huayi
    Huang, Yunqing
    Tang, Qili
    ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2022,
  • [9] Parallel finite element computation of incompressible magnetohydrodynamics based on three iterations
    Qili Tang
    Yunqing Huang
    Applied Mathematics and Mechanics, 2022, 43 : 141 - 154
  • [10] Local and parallel finite element algorithm based on the partition of unity method for the incompressible MHD flow
    Xiaojing Dong
    Yinnian He
    Hongbo Wei
    Yuhong Zhang
    Advances in Computational Mathematics, 2018, 44 : 1295 - 1319
12345