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

文献类型：期刊论文

作者Rahman, Talal1; Xu, Xuejun2
刊名ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE
出版日期2009-05-01
卷号43期号:3页码:429-444
关键词Crouzeix-Raviart FE mortar method multilevel preconditioner auxiliary space method
ISSN号0764-583X
DOI10.1051/m2an/2009003
英文摘要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.
资助项目National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10731060]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000266286800002
出版者CAMBRIDGE UNIV PRESS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7834]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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