中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
A Rigorous Condition Number Estimate of an Immersed Finite Element Method

文献类型：期刊论文

作者Wang, Saihua1; Wang, Feng2; Xu, Xuejun1,3
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期2020-04-24
卷号83期号:2页码:23
关键词Interface problem IFE method Condition number
ISSN号0885-7474
DOI10.1007/s10915-020-01212-1
英文摘要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.
资助项目National Natural Science Foundation of China[11871281] ; National Natural Science Foundation of China[11871272]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000529980800001
出版者SPRINGER/PLENUM PUBLISHERS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/51390]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

浏览0
下载0
收藏0
其他版本

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。