Extrapolation for the second order elliptic problems by mixed finite element methods in three dimensions

	Extrapolation for the second order elliptic problems by mixed finite element methods in three dimensions
	Xie, Hehu; Jla, Shanghui
	2008
发表期刊	INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
ISSN	1705-5105
卷号	5 期号:1 页码:112-131
摘要	In this paper we derive asymptotic error expansions for mixed finite element approximations of general second order elliptic problems in three dimensions. And extrapolation method is applied to improve the accuracy of the approximations with the help of the interpolation postprocessing technique. For the cubic domain and uniform partition, with the extrapolation, the accuracy of the mixed finite element approximations can be improved.
关键词	superconvergence interpolation postprocessing extrapolation mixed finite element
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000249194400009
出版者	ISCI-INST SCIENTIFIC COMPUTING & INFORMATION
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5559
专题	计算数学与科学工程计算研究所
通讯作者	Xie, Hehu
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xie, Hehu,Jla, Shanghui. Extrapolation for the second order elliptic problems by mixed finite element methods in three dimensions[J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,2008,5(1):112-131.
APA	Xie, Hehu,&Jla, Shanghui.(2008).Extrapolation for the second order elliptic problems by mixed finite element methods in three dimensions.INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING,5(1),112-131.
MLA	Xie, Hehu,et al."Extrapolation for the second order elliptic problems by mixed finite element methods in three dimensions".INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING 5.1(2008):112-131.