Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem

doi:10.1007/s10915-018-0877-5

	Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem
	Zhai, Qilong 1; Xie, Hehu2,3 ; Zhang, Ran 1,4; Zhang, Zhimin 5,6
	2019-05-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	79 期号:2 页码:914-934
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.
关键词	Weak Galerkin finite element method Eigenvalue problem Two-grid method Two-space method Lower bound
DOI	10.1007/s10915-018-0877-5
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000464896500010
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/34469
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.