A Rigorous Condition Number Estimate of an Immersed Finite Element Method

doi:10.1007/s10915-020-01212-1

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	A Rigorous Condition Number Estimate of an Immersed Finite Element Method
	Wang, Saihua 1; Wang, Feng 2; Xu, Xuejun 1,3
	2020-04-24
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	83 期号:2 页码:23
摘要	It is known that the convergence rate of the traditional iteration methods like the conjugate gradient method depends on the condition number of the stiffness matrix. Moreover the construction of fast solvers like multigrid and domain decomposition methods also need to estimate the condition number of the stiffness matrix. The main purpose of this paper is to give a rigorous condition number estimate of the stiffness matrix resulting from the linear and bilinear immersed finite element approximations of the high-contrast interface problem. It is shown that the condition number is C.h -2, where. is the jump of the discontinuous coefficients, h is the mesh size, and the constant C is independent of. and the location of the interface on the triangulation. Numerical results are also given to verify our theoretical findings.
关键词	Interface problem IFE method Condition number
DOI	10.1007/s10915-020-01212-1
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[11871281] ; National Natural Science Foundation of China[11871272]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000529980800001
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51391
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Xuejun
作者单位	1.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China 2.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China 3.Chinese Acad Sci, AMSS, Inst Computat Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Saihua,Wang, Feng,Xu, Xuejun. A Rigorous Condition Number Estimate of an Immersed Finite Element Method[J]. JOURNAL OF SCIENTIFIC COMPUTING,2020,83(2):23.
APA	Wang, Saihua,Wang, Feng,&Xu, Xuejun.(2020).A Rigorous Condition Number Estimate of an Immersed Finite Element Method.JOURNAL OF SCIENTIFIC COMPUTING,83(2),23.
MLA	Wang, Saihua,et al."A Rigorous Condition Number Estimate of an Immersed Finite Element Method".JOURNAL OF SCIENTIFIC COMPUTING 83.2(2020):23.