Capacity of the Adini Element for Biharmonic Equations

doi:10.1007/s10915-016-0237-2

	Capacity of the Adini Element for Biharmonic Equations
	Hu, Jun 1,2; Yang, Xueqin 3; Zhang, Shuo4
	2016-12-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	69 期号:3 页码:1366-1383
摘要	This paper is devoted to the convergence analysis of the Adini element scheme for biharmonic equations in any dimension. In particular, a second order convergence in the energy norm is established provided that the exact solution is in . Surprisingly, it is proved that the convergence rate in the norm can not be nontrivially higher than order. The main ingredient for the analysis is a crucial structure of the Adini element space. Numerics are presented to demonstrate the theoretical results.
关键词	Biharmonic equation Adini element Error estimate Arbitrary dimension
DOI	10.1007/s10915-016-0237-2
语种	英语
资助项目	National Natural Science Foundation of China[11271035] ; National Natural Science Foundation of China[91430213] ; National Natural Science Foundation of China[11421101] ; National Natural Science Foundation of China[11101415] ; National Natural Science Foundation of China[11471026]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000387443600017
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/24037
专题	计算数学与科学工程计算研究所
通讯作者	Zhang, Shuo
作者单位	1.Peking Univ, LMAM, Beijing 100871, Peoples R China 2.Peking Univ, Beijing Int Ctr Math Res, Sch Math Sci, Beijing 100871, Peoples R China 3.Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, NCMIS, LSEC,ICMSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Hu, Jun,Yang, Xueqin,Zhang, Shuo. Capacity of the Adini Element for Biharmonic Equations[J]. JOURNAL OF SCIENTIFIC COMPUTING,2016,69(3):1366-1383.
APA	Hu, Jun,Yang, Xueqin,&Zhang, Shuo.(2016).Capacity of the Adini Element for Biharmonic Equations.JOURNAL OF SCIENTIFIC COMPUTING,69(3),1366-1383.
MLA	Hu, Jun,et al."Capacity of the Adini Element for Biharmonic Equations".JOURNAL OF SCIENTIFIC COMPUTING 69.3(2016):1366-1383.