A new superconvergence property of nonconforming rotated Q(1) element in 3D

doi:10.1016/j.cma.2007.07.013

	A new superconvergence property of nonconforming rotated Q(1) element in 3D
	Ming, Pingbing; Shi, Zhong-Ci; Xu, Yun
	2007
发表期刊	COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN	0045-7825
卷号	197 期号:1-4 页码:95-102
摘要	Nonconforming rotated Q(1) finite element method is used to approximate the general second-order elliptic problem in 3D. A new superconvergence property at eight vertices and six face centers of each element is proved. Several cheap numerical integration schemes are proposed for solving the discrete problem, which include schemes with only two nodes. All schemes yield optimal H-1, L-2 error bounds as well as the superconvergence property. Extensive numerical results are presented to confirm the theoretic prediction. (c) 2007 Elsevier B.V. All rights reserved.
关键词	superconvergence nonconforming rotated Q(1) element numerical integration
DOI	10.1016/j.cma.2007.07.013
语种	英语
WOS研究方向	Engineering ; Mathematics ; Mechanics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000251209900007
出版者	ELSEVIER SCIENCE SA
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/4929
专题	计算数学与科学工程计算研究所
通讯作者	Ming, Pingbing
作者单位	Chinese Acad Sci, AMSS, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Ming, Pingbing,Shi, Zhong-Ci,Xu, Yun. A new superconvergence property of nonconforming rotated Q(1) element in 3D[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,2007,197(1-4):95-102.
APA	Ming, Pingbing,Shi, Zhong-Ci,&Xu, Yun.(2007).A new superconvergence property of nonconforming rotated Q(1) element in 3D.COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING,197(1-4),95-102.
MLA	Ming, Pingbing,et al."A new superconvergence property of nonconforming rotated Q(1) element in 3D".COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 197.1-4(2007):95-102.