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Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem
Zhai, Qilong1; Xie, Hehu2,3; Zhang, Ran1,4; Zhang, Zhimin5,6
2019-05-01
Source PublicationJOURNAL OF SCIENTIFIC COMPUTING
ISSN0885-7474
Volume79Issue:2Pages:914-934
AbstractRecently, we proposed a weak Galerkin finite element method for the Laplace eigenvalue problem. In this paper, we present two-grid and two-space skills to accelerate the weak Galerkin method. By choosing parameters properly, the two-grid and two-space weak Galerkin method not only doubles the convergence rate, but also maintains the asymptotic lower bounds property of the weak Galerkin method. Some numerical examples are provided to validate our theoretical analysis.
KeywordWeak Galerkin finite element method Eigenvalue problem Two-grid method Two-space method Lower bound
DOI10.1007/s10915-018-0877-5
Language英语
Funding ProjectScience Challenge Project[TZ2016002] ; National Natural Science Foundations of China[NSFC 11771434] ; National Natural Science Foundations of China[91330202] ; National Natural Science Foundations of China[11371026] ; National Natural Science Foundations of China[11001259] ; National Center for Mathematics and Interdisciplinary Science, CAS ; China Natural National Science Foundation[91630201] ; China Natural National Science Foundation[U1530116] ; China Natural National Science Foundation[11471141] ; China Natural National Science Foundation[11726102] ; Program for Cheung Kong Scholars of Ministry of Education of China ; National Natural Science Foundation of China[NSFC 11471031] ; National Natural Science Foundation of China[91430216] ; U.S. National Science Foundation[DMS-1419040]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000464896500010
PublisherSPRINGER/PLENUM PUBLISHERS
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/34469
Collection计算数学与科学工程计算研究所
Affiliation1.Jilin Univ, Dept Math, Changchun 130012, Jilin, Peoples R China
2.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
4.Jilin Univ, Minist Educ, Key Lab Symbol Computat & Knowledge Engn, Changchun 130012, Jilin, Peoples R China
5.Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China
6.Wayne State Univ, Dept Math, Detroit, MI 48202 USA
Recommended Citation
GB/T 7714
Zhai, Qilong,Xie, Hehu,Zhang, Ran,et al. Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem[J]. JOURNAL OF SCIENTIFIC COMPUTING,2019,79(2):914-934.
APA Zhai, Qilong,Xie, Hehu,Zhang, Ran,&Zhang, Zhimin.(2019).Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem.JOURNAL OF SCIENTIFIC COMPUTING,79(2),914-934.
MLA Zhai, Qilong,et al."Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem".JOURNAL OF SCIENTIFIC COMPUTING 79.2(2019):914-934.
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