QQ客服 官方微博 反馈留言

	Superconvergence of three dimensional Morley elements on cuboid meshes for biharmonic equations
	Hu, Jun ; Shi, Zhongci ; Yang, Xueqin
	2016
关键词	Biharmonic equation Cuboid Morley element Superconvergence NONCONFORMING FINITE-ELEMENT
英文摘要	In the present paper, superconvergence of second order, after an appropriate postprocessing, is achieved for three dimensional first order cuboid Morley elements of biharmonic equations. The analysis is dependent on superconvergence of second order for the consistency error and a corrected canonical interpolation operator, which help to establish supercloseness of second order for the corrected canonical interpolation. Then the final superconvergence is derived by a standard postprocessing. For first order nonconforming finite element methods of three dimensional fourth order elliptic problems, it is the first time that full superconvergence of second order is obtained without an extra boundary condition imposed on exact solutions. It is also the first time that superconvergence is established for nonconforming finite element methods of three dimensional fourth order elliptic problems. Numerical results are presented to demonstrate the validity of the theoretical results.; NSFC [11271035, 91430213, 11421101]; SCI(E); ARTICLE; hujun@math.pku.edu.cn; shi@lsec.cc.ac.cn; yangxueqin1212@pku.edu.cn; 6; 1453-1471; 42
语种	英语
出处	SCI
出版者	ADVANCES IN COMPUTATIONAL MATHEMATICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/458310]
专题	数学科学学院
推荐引用方式 GB/T 7714	Hu, Jun,Shi, Zhongci,Yang, Xueqin. Superconvergence of three dimensional Morley elements on cuboid meshes for biharmonic equations. 2016-01-01.

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。