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A Rigorous Condition Number Estimate of an Immersed Finite Element Method
Wang, Saihua1; Wang, Feng2; Xu, Xuejun1,3
2020-04-24
Source PublicationJOURNAL OF SCIENTIFIC COMPUTING
ISSN0885-7474
Volume83Issue:2Pages:23
AbstractIt 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.
KeywordInterface problem IFE method Condition number
DOI10.1007/s10915-020-01212-1
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11871281] ; National Natural Science Foundation of China[11871272]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000529980800001
PublisherSPRINGER/PLENUM PUBLISHERS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51391
Collection中国科学院数学与系统科学研究院
Corresponding AuthorXu, Xuejun
Affiliation1.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
Recommended Citation
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.
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