Gradient recovery type a posteriori error estimate for finite element approximation on non-uniform meshes

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	Gradient recovery type a posteriori error estimate for finite element approximation on non-uniform meshes
	Du, L; Yan, NN
	2001-02-01
发表期刊	ADVANCES IN COMPUTATIONAL MATHEMATICS
ISSN	1019-7168
卷号	14 期号:2 页码:175-193
摘要	In this paper, we derive gradient recovery type a posteriori error estimate for the finite element approximation of elliptic equations. We show that a posteriori error estimate provide both upper and lower bounds for the discretization error on the non-uniform meshes. Moreover, it is proved that a posteriori error estimate is also asymptotically exact on the uniform meshes if the solution is smooth enough. The numerical results demonstrating the theoretical results are also presented in this paper.
关键词	adaptive finite element method a posteriori error estimate gradient recovery superconvergence
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000170079500004
出版者	BALTZER SCI PUBL BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16512
专题	系统科学研究所
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Du, L,Yan, NN. Gradient recovery type a posteriori error estimate for finite element approximation on non-uniform meshes[J]. ADVANCES IN COMPUTATIONAL MATHEMATICS,2001,14(2):175-193.
APA	Du, L,&Yan, NN.(2001).Gradient recovery type a posteriori error estimate for finite element approximation on non-uniform meshes.ADVANCES IN COMPUTATIONAL MATHEMATICS,14(2),175-193.
MLA	Du, L,et al."Gradient recovery type a posteriori error estimate for finite element approximation on non-uniform meshes".ADVANCES IN COMPUTATIONAL MATHEMATICS 14.2(2001):175-193.