On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations

doi:10.1007/s11075-017-0427-5

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	On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations
	Huang, Na 1,2; Ma, Chang-Feng 1
	2018-09-01
发表期刊	NUMERICAL ALGORITHMS
ISSN	1017-1398
卷号	79 期号:1 页码:41-64
摘要	In this paper, we study the spectral distributions of the saddle point matrices arising from the discretization and linearization of the Navier-Stokes equations, where the (1,1) block is nonsymmetric positive definite. In this paper, we derive the lower and upper bounds of the real and imaginary parts of all the eigenvalues of the saddle point matrices. We then propose a new class of block triangle preconditioners for solving the saddle point problems, and analyze the spectral properties of the preconditioned systems. Some numerical experiments with the preconditioned restarted generalized minimal residual method are reported to demonstrate the effectiveness and feasibility of these block triangle preconditioners.
关键词	Navier-Stokes equations Saddle point problem Spectral estimates Preconditioner Nonsymmetric
DOI	10.1007/s11075-017-0427-5
语种	英语
资助项目	National Postdoctoral Program for Innovative Talents[BX201600182] ; China Postdoctoral Science Foundation[2016M600141] ; Fujian Natural Science Foundation[2016J01005] ; Fujian Natural Science Foundation[2015J01578]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000442612400003
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31117
专题	中国科学院数学与系统科学研究院
通讯作者	Ma, Chang-Feng
作者单位	1.Fujian Normal Univ, Fujian Key Lab Math Anal & Applicat, Coll Math & Informat, Fuzhou 350117, Fujian, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Na,Ma, Chang-Feng. On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations[J]. NUMERICAL ALGORITHMS,2018,79(1):41-64.
APA	Huang, Na,&Ma, Chang-Feng.(2018).On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations.NUMERICAL ALGORITHMS,79(1),41-64.
MLA	Huang, Na,et al."On the eigenvalues of the saddle point matrices discretized from Navier-Stokes equations".NUMERICAL ALGORITHMS 79.1(2018):41-64.