A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation

doi:10.1007/s10915-017-0592-7

	A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation
	Zhang, Shuo; Xi, Yingxia; Ji, Xia
	2018-06-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	75 期号:3 页码:1415-1444
摘要	In this paper, we discuss approximating the eigenvalue problem of biharmonic equation. We first present an equivalent mixed formulation which admits natural nested discretization. Then, we present multi-level finite element schemes by implementing the algorithm as in Lin and Xie (Math Comput 84:71-88, 2015) to the nested discretizations on a series of nested grids. The multi-level mixed scheme for the biharmonic eigenvalue problem possesses optimal convergence rate and optimal computational cost. Both theoretical analysis and numerical verifications are presented.
关键词	Eigenvalue problem Multi-level mixed element method Biharmonic equation
DOI	10.1007/s10915-017-0592-7
语种	英语
资助项目	National Natural Science Foundation of China[11471026] ; National Natural Science Foundation of China[11271018] ; National Natural Science Foundation of China[91630313] ; National Centre for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000431399600009
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/30245
专题	计算数学与科学工程计算研究所
通讯作者	Ji, Xia
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC,NCMIS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Zhang, Shuo,Xi, Yingxia,Ji, Xia. A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation[J]. JOURNAL OF SCIENTIFIC COMPUTING,2018,75(3):1415-1444.
APA	Zhang, Shuo,Xi, Yingxia,&Ji, Xia.(2018).A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation.JOURNAL OF SCIENTIFIC COMPUTING,75(3),1415-1444.
MLA	Zhang, Shuo,et al."A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation".JOURNAL OF SCIENTIFIC COMPUTING 75.3(2018):1415-1444.