A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D | |
Li, Lingxiao1,2; Zheng, Weiying1,2 | |
刊名 | JOURNAL OF COMPUTATIONAL PHYSICS |
2017-12-15 | |
卷号 | 351页码:254-270 |
关键词 | Incompressible magnetohydrodynamic equations Mixed finite element method Block preconditioner grad-div stabilization Newton's method |
ISSN号 | 0021-9991 |
DOI | 10.1016/j.jcp.2017.09.025 |
英文摘要 | In this paper, we propose a Newton-Krylov solver and a Picard-Krylov solver for finite element discrete problem of stationary incompressible magnetohydrodynamic equations in three dimensions. Using a mixed finite element method, we discretize the velocity and the pressure by H-1(Omega)-conforming finite elements and discretize the magnetic field by H(curl, Omega)-conforming edge elements. An efficient preconditioner is proposed to accelerate the convergence of GMRES method for solving linearized discrete problems. By extensive numerical experiments, we demonstrate the robustness of the Newton-Krylov solver for relatively large physical parameters and the optimality with respect to the number of degrees of freedom. Moreover, the numerical experiments show that the Newton-Krylov solver is more robust than the Picard-Krylov solver for large Reynolds number. (C) 2017 Elsevier Inc. All rights reserved. |
资助项目 | China NSF[91430215] ; National Magnetic Confinement Fusion Science Program[2015GB110003] |
WOS研究方向 | Computer Science ; Physics |
语种 | 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
WOS记录号 | WOS:000415304900014 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/26832] |
专题 | 计算数学与科学工程计算研究所 |
通讯作者 | Zheng, Weiying |
作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, NCMIS,LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Li, Lingxiao,Zheng, Weiying. A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D[J]. JOURNAL OF COMPUTATIONAL PHYSICS,2017,351:254-270. |
APA | Li, Lingxiao,&Zheng, Weiying.(2017).A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D.JOURNAL OF COMPUTATIONAL PHYSICS,351,254-270. |
MLA | Li, Lingxiao,et al."A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D".JOURNAL OF COMPUTATIONAL PHYSICS 351(2017):254-270. |
个性服务 |
查看访问统计 |
相关权益政策 |
暂无数据 |
收藏/分享 |
除非特别说明,本系统中所有内容都受版权保护,并保留所有权利。
修改评论