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A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation
Zhang, Shuo; Xi, Yingxia; Ji, Xia
2018-06-01
Source PublicationJOURNAL OF SCIENTIFIC COMPUTING
ISSN0885-7474
Volume75Issue:3Pages:1415-1444
AbstractIn 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.
KeywordEigenvalue problem Multi-level mixed element method Biharmonic equation
DOI10.1007/s10915-017-0592-7
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000431399600009
PublisherSPRINGER/PLENUM PUBLISHERS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/30245
Collection计算数学与科学工程计算研究所
AffiliationChinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC,NCMIS, Beijing 100190, Peoples R China
Recommended Citation
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.
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