QQ客服 官方微博 反馈留言

	A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles
	Carstensen, Carsten ; Gallistl, Dietmar ; Hu, Jun
	2013
关键词	PLATE-BENDING PROBLEMS UNIFYING THEORY APPROXIMATION GRIDS
英文摘要	The a posteriori error analysis of conforming finite element discretisations of the biharmonic problem for plates is well established, but nonconforming discretisations are more easy to implement in practice. The a posteriori error analysis for the Morley plate element appears very particular because two edge contributions from an integration by parts vanish simultaneously. This crucial property is lacking for popular rectangular nonconforming finite element schemes like the nonconforming rectangular Morley finite element, the incomplete biquadratic finite element, and the Adini finite element. This paper introduces a novel methodology and utilises some conforming discrete space on macro elements to prove reliability and efficiency of an explicit residual-based a posteriori error estimator. An application to the Morley triangular finite element shows the surprising result that all averaging techniques yield reliable error bounds. Numerical experiments confirm the reliability and efficiency for the established a posteriori error control on uniform and graded tensor-product meshes.; Mathematics, Applied; SCI(E); 2; ARTICLE; 2; 309-335; 124
语种	英语
出处	SCI
出版者	numerische mathematik
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/223207]
专题	数学科学学院
推荐引用方式 GB/T 7714	Carstensen, Carsten,Gallistl, Dietmar,Hu, Jun. A posteriori error estimates for nonconforming finite element methods for fourth-order problems on rectangles. 2013-01-01.

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。