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

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	Superconvergence of least-squares mixed finite element for second-order elliptic problems
	Chen Yanping 1; Yu Dehao 2
	2003
发表期刊	Journal of Computational Mathematics
ISSN	0254-9409
卷号	21 期号:6 页码:825
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 σ 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 σ_h and the flux approximation u_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-Douglas-Fortin-Marini elements of order r are employed with optimal error estimate of O(h~(r+1)).
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18077
专题	中国科学院数学与系统科学研究院
作者单位	1.湘潭大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Chen Yanping,Yu Dehao. Superconvergence of least-squares mixed finite element for second-order elliptic problems[J]. Journal of Computational Mathematics,2003,21(6):825.
APA	Chen Yanping,&Yu Dehao.(2003).Superconvergence of least-squares mixed finite element for second-order elliptic problems.Journal of Computational Mathematics,21(6),825.
MLA	Chen Yanping,et al."Superconvergence of least-squares mixed finite element for second-order elliptic problems".Journal of Computational Mathematics 21.6(2003):825.