A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART II: A ROBUST SOLVER

doi:10.1137/19M1260372

	A CHARGE-CONSERVATIVE FINITE ELEMENT METHOD FOR INDUCTIONLESS MHD EQUATIONS. PART II: A ROBUST SOLVER
	Li, Lingxiao 1; Ni, Mingjiu 2; Zheng, Weiying3
	2019
发表期刊	SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN	1064-8275
卷号	41 期号:4 页码:B816-B842
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.
关键词	inductionless MHD equations block preconditioner field-of-values-equivalence conservation of charges augmented Lagrangian finite element method
DOI	10.1137/19M1260372
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000483924100034
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	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.Inst Appl Phys & Computat Math, Beijing 100094, Peoples R China 2.Univ Chinese Acad Sci, Sch Engn Sci, Beijing 101407, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp Acad Math & Sy, NCMIS,LSEC, Beijing 100190, 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.