A MULTILEVEL PRECONDITIONER FOR THE MORTAR METHOD FOR NONCONFORMING P-1 FINITE ELEMENT

doi:10.1051/m2an/2009003

	A MULTILEVEL PRECONDITIONER FOR THE MORTAR METHOD FOR NONCONFORMING P-1 FINITE ELEMENT
	Rahman, Talal 1; Xu, Xuejun2
	2009-05-01
发表期刊	ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
ISSN	0764-583X
卷号	43 期号:3 页码:429-444
摘要	A multilevel preconditioner based on the abstract framework of the auxiliary space method, is developed for the mortar method for the nonconforming P-1 finite element or the lowest order Crouzeix-Raviart finite element on nonmatching grids. It is shown that the proposed preconditioner is quasi-optimal in the sense that the condition number of the preconditioned system is independent of the mesh size, and depends only quadratically on the number of refinement levels. Some numerical results confirming the theory are also provided.
关键词	Crouzeix-Raviart FE mortar method multilevel preconditioner auxiliary space method
DOI	10.1051/m2an/2009003
语种	英语
资助项目	National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10731060]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000266286800002
出版者	CAMBRIDGE UNIV 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/7835
专题	计算数学与科学工程计算研究所
通讯作者	Rahman, Talal
作者单位	1.Univ Bergen, Dept Math, Ctr Integrated Petr Res, N-5007 Bergen, Norway 2.Chinese Acad Sci, Inst Computat Math, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Rahman, Talal,Xu, Xuejun. A MULTILEVEL PRECONDITIONER FOR THE MORTAR METHOD FOR NONCONFORMING P-1 FINITE ELEMENT[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2009,43(3):429-444.
APA	Rahman, Talal,&Xu, Xuejun.(2009).A MULTILEVEL PRECONDITIONER FOR THE MORTAR METHOD FOR NONCONFORMING P-1 FINITE ELEMENT.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,43(3),429-444.
MLA	Rahman, Talal,et al."A MULTILEVEL PRECONDITIONER FOR THE MORTAR METHOD FOR NONCONFORMING P-1 FINITE ELEMENT".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 43.3(2009):429-444.