MONOLITHIC MULTIGRID FOR REDUCED MAGNETOHYDRODYNAMIC EQUATIONS

doi:10.4208/jcm.2006-m2020-0071

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	MONOLITHIC MULTIGRID FOR REDUCED MAGNETOHYDRODYNAMIC EQUATIONS
	Zhang, Xiaodi ; Zheng, Weiying 1
	2021
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	39 期号:3 页码:453-470
摘要	In this paper, the monolithic multigrid method is investigated for reduced magnetohydrodynamic equations. We propose a diagonal Braess-Sarazin smoother for the finite element discrete system and prove the uniform convergence of the MMG method with respect to mesh sizes. A multigrid-preconditioned FGMRES method is proposed to solve the magnetohydrodynamic equations. It turns out to be robust for relatively large physical parameters. By extensive numerical experiments, we demonstrate the optimality of the monolithic multigrid method with respect to the number of degrees of freedom.
关键词	Monolithic multigrid Magnetohydrodynamic equations Diagonal Braess-Sarazin smoother Finite element method
DOI	10.4208/jcm.2006-m2020-0071
收录类别	SCI
语种	英语
资助项目	National Science Fund for Distinguished Young Scholars[11725106] ; China NSF[11831016]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000637949000007
出版者	GLOBAL SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58449
专题	中国科学院数学与系统科学研究院
通讯作者	Zheng, Weiying
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Comp, LSEC,NCMIS, 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	Zhang, Xiaodi,Zheng, Weiying. MONOLITHIC MULTIGRID FOR REDUCED MAGNETOHYDRODYNAMIC EQUATIONS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2021,39(3):453-470.
APA	Zhang, Xiaodi,&Zheng, Weiying.(2021).MONOLITHIC MULTIGRID FOR REDUCED MAGNETOHYDRODYNAMIC EQUATIONS.JOURNAL OF COMPUTATIONAL MATHEMATICS,39(3),453-470.
MLA	Zhang, Xiaodi,et al."MONOLITHIC MULTIGRID FOR REDUCED MAGNETOHYDRODYNAMIC EQUATIONS".JOURNAL OF COMPUTATIONAL MATHEMATICS 39.3(2021):453-470.