A new a posteriori error estimate for the Morley element

doi:10.1007/s00211-008-0205-3

	A new a posteriori error estimate for the Morley element
	Hu, Jun 1,2; Shi, Zhongci3
	2009-03-01
发表期刊	NUMERISCHE MATHEMATIK
ISSN	0029-599X
卷号	112 期号:1 页码:25-40
摘要	In this paper, we present a posteriori error analysis for the nonconforming Morley element of the fourth order elliptic equation. We propose a new residual-based a posteriori error estimator and prove its reliability and efficiency. These results refine those of Beirao da Veiga et al. (Numer Math 106:165-179, 2007) by dropping two edge jump terms in both the energy norm of the error and the estimator, and those of Wang and Zhang (Local a priori and a posteriori error estimates of finite elements for biharmonic equation, Research Report, 13, 2006) by showing the efficiency in the sense of Verfurth (A review of a posteriori error estimation and adaptive mesh-refinement techniques, Wiley-Teubner, New York, 1996). Moreover, the normal component in the estimators of Beirao da Veiga et al. (Numer Math 106:165-179, 2007) and Wang and Zhang (Local a priori and a posteriori error estimates of finite elements for biharmonic equation, Research Report, 13, 2006) is dropped, and therefore only the tangential component of the stress on each edge comes into the estimator. In addition, we generalize these results to three dimensional case.
DOI	10.1007/s00211-008-0205-3
语种	英语
资助项目	NSFC[10601003] ; A Foundation for the Author of National Excellent Doctoral Dissertation of PR China[200718] ; Scientific Research Foundation for the Returned Overseas Chinese Scholars, State Education Ministry
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000263525100002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8661
专题	计算数学与科学工程计算研究所
通讯作者	Hu, Jun
作者单位	1.Peking Univ, LMAM, Beijing 100871, Peoples R China 2.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 3.Chinese Acad Sci, Inst Computat Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Hu, Jun,Shi, Zhongci. A new a posteriori error estimate for the Morley element[J]. NUMERISCHE MATHEMATIK,2009,112(1):25-40.
APA	Hu, Jun,&Shi, Zhongci.(2009).A new a posteriori error estimate for the Morley element.NUMERISCHE MATHEMATIK,112(1),25-40.
MLA	Hu, Jun,et al."A new a posteriori error estimate for the Morley element".NUMERISCHE MATHEMATIK 112.1(2009):25-40.