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EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS

文献类型：期刊论文

作者Mao, Shipeng; Shi, Zhong-ci; ZhongCi Shi; Shipeng Mao
刊名JOURNAL OF COMPUTATIONAL MATHEMATICS
出版日期2009-07-01
卷号27期号:4页码:425-440
关键词Mixed finite element Nonconforming finite element Explicit error estimate Maximal angle condition
ISSN号0254-9409
DOI10.4208/jcm.2009.27.4.01.1
英文摘要In this paper, we study the explicit expressions of the constants in the error estimates of the lowest order mixed and nonconforming finite element methods. We start with an explicit relation between the error constant of the lowest order Raviart-Thomas interpolation error and the geometric characters of the triangle. This gives an explicit error constant of the lowest order mixed finite element method. Furthermore, similar results can be extended to the nonconforming P, scheme based on its close connection with the lowest order Raviart-Thomas method. Meanwhile, such explicit a priori error estimates can be used as computable error bounds, which are also consistent with the maximal angle condition for the optimal error estimates of mixed and nonconforming finite element methods.
资助项目Special Funds for Major State Basic Research Project[2005CB321701]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000267903600001
出版者VSP BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/8235]  
专题计算数学与科学工程计算研究所
通讯作者Mao, Shipeng
作者单位Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式
GB/T 7714		 Mao, Shipeng,Shi, Zhong-ci,ZhongCi Shi,et al. EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(4):425-440.
APA Mao, Shipeng,Shi, Zhong-ci,ZhongCi Shi,&Shipeng Mao.(2009).EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(4),425-440.
MLA Mao, Shipeng,et al."EXPLICIT ERROR ESTIMATES FOR MIXED AND NONCONFORMING FINITE ELEMENTS".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.4(2009):425-440.

入库方式： OAI收割

来源：数学与系统科学研究院

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