Superconvergence of least-squares mixed finite element for second-order elliptic problems

	Superconvergence of least-squares mixed finite element for second-order elliptic problems
	Chen, YP ; Yu, DH
刊名	JOURNAL OF COMPUTATIONAL MATHEMATICS
	2003-11-01
卷号	21 期号:6 页码:825-832
关键词	elliptic problem. superconvergence interpolation projection least-squares mixed finite element
ISSN号	0254-9409
英文摘要	In this paper the least-squares mixed finite element is considered for solving second-order elliptic problems in two dimensional domains. The primary solution u and the flux sigma are approximated using finite element spaces consisting of piecewise polynomials of degree k and r respectively. Based on interpolation operators and an auxiliary projection, superconvergent H-1-error estimates of both the primary solution approximation u(h) and the flux approximation sigma(h) are obtained under the standard quasi-uniform assumption on finite element partition. The superconvergence indicates an accuracy of O(h(r+2)) for the least-squares mixed finite element approximation if Raviart-Thomas or Brezzi-DouglasFortin-Marini elements of order tau are employed with optimal error estimate of O(h(r+1)).
WOS研究方向	Mathematics
语种	英语
出版者	VSP BV
WOS记录号	WOS:000186851300012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/18076]
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, YP
作者单位	1.Xiangtan Univ, Dept Math, Xiangtan 411105, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, YP,Yu, DH. Superconvergence of least-squares mixed finite element for second-order elliptic problems[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2003,21(6):825-832.
APA	Chen, YP,&Yu, DH.(2003).Superconvergence of least-squares mixed finite element for second-order elliptic problems.JOURNAL OF COMPUTATIONAL MATHEMATICS,21(6),825-832.
MLA	Chen, YP,et al."Superconvergence of least-squares mixed finite element for second-order elliptic problems".JOURNAL OF COMPUTATIONAL MATHEMATICS 21.6(2003):825-832.