A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART II: A ROBUST SOLVER
文献类型：期刊论文
| 作者 | Li, Lingxiao2; Ni, Mingjiu3; Zheng, Weiying1
|
| 刊名 | SIAM JOURNAL ON SCIENTIFIC COMPUTING
 |
| 出版日期 | 2019 |
| 卷号 | 41期号:4页码:B816-B842 |
| 关键词 | inductionless MHD equations block preconditioner field-of-values-equivalence conservation of charges augmented Lagrangian finite element method |
| ISSN号 | 1064-8275 |
| DOI | 10.1137/19M1260372 |
| 英文摘要 | In [L. Li, M. Ni, and W. Zheng, SIAM J. Sci. Comput., 41 (2019), pp. B796-B815] a charge-conservative finite element method is proposed for solving inductionless and incompressible magnetohydrodynamic (MHD) equations. The purpose of this paper is to propose a robust solver for the discrete problem. Using the framework of field-of-values-equivalence, we first study the preconditioned Krylov space method for the continuous problem in the setting of Hilbert spaces. The algebraic preconditioner for the discrete problem is then obtained by representing the preconditioner for the continuous problem in finite element spaces. By three numerical examples, the optimality of the solver to the number of unknowns is demonstrated for both stationary and time-dependent MHD problems. |
| 资助项目 | China NSF[51636009] ; China NSF[91430215] ; National Science Fund for Distinguished Young Scholars[11725106] ; National Magnetic Confinement Fusion Science Program[2015GB110003] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000483924100034 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/33323]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Li, Lingxiao |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp Acad Math & Sy, NCMIS,LSEC, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 3.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 101407, Peoples R China |
| 推荐引用方式 GB/T 7714 | Li, Lingxiao,Ni, Mingjiu,Zheng, Weiying. A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART II: A ROBUST SOLVER[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING,2019,41(4):B816-B842. |
| APA | Li, Lingxiao,Ni, Mingjiu,&Zheng, Weiying.(2019).A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART II: A ROBUST SOLVER.SIAM JOURNAL ON SCIENTIFIC COMPUTING,41(4),B816-B842. |
| MLA | Li, Lingxiao,et al."A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART II: A ROBUST SOLVER".SIAM JOURNAL ON SCIENTIFIC COMPUTING 41.4(2019):B816-B842. |
入库方式： OAI收割
来源：数学与系统科学研究院
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