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Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem

文献类型：期刊论文

作者Zhai, Qilong1; Xie, Hehu2,3; Zhang, Ran1,4; Zhang, Zhimin5,6
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期2019-05-01
卷号79期号:2页码:914-934
ISSN号0885-7474
关键词Weak Galerkin finite element method Eigenvalue problem Two-grid method Two-space method Lower bound
DOI10.1007/s10915-018-0877-5
英文摘要Recently, 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.
资助项目Science 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研究方向Mathematics
语种英语
出版者SPRINGER/PLENUM PUBLISHERS
WOS记录号WOS:000464896500010
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/34468]  
专题计算数学与科学工程计算研究所
通讯作者Xie, Hehu
作者单位1.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
推荐引用方式
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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