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	Convergence and optimality of the adaptive Morley element method
	Hu, Jun ; Shi, Zhongci ; Xu, Jinchao
	2012
关键词	UNIFYING THEORY ERROR ANALYSIS APPROXIMATION
英文摘要	This paper is devoted to the convergence and optimality analysis of the adaptive Morley element method for the fourth order elliptic problem. A new technique is developed to establish a quasi-orthogonality which is crucial for the convergence analysis of the adaptive nonconforming method. By introducing a new parameter-dependent error estimator and further establishing a discrete reliability property, sharp convergence and optimality estimates are then fully proved for the fourth order elliptic problem.; Mathematics, Applied; SCI(E); 0; ARTICLE; 4; 731-752; 121
语种	英语
出处	SCI
出版者	numerische mathematik
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157532]
专题	数学科学学院
推荐引用方式 GB/T 7714	Hu, Jun,Shi, Zhongci,Xu, Jinchao. Convergence and optimality of the adaptive Morley element method. 2012-01-01.

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