A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds

doi:10.1007/s10915-022-01986-6

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	A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds
	Liang, Qigang 1; Xu, Xuejun 1,2; Yuan, Liuyao 1
	2022-10-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	93 期号:1 页码:21
摘要	In this paper, we observe an interesting phenomenon for a weak Galerkin (WG) approximation of eigenvalue problems, that is, we may obtain good approximations for exact eigenvalues from below or above, only through adjusting the global penalty parameter. Based on this observation, a high accuracy algorithm for computing eigenvalues is designed to yield higher convergence order with lower expenses. Some new techniques are developed to analyze upper and lower bound properties of eigenvalues. Numerical results supporting our theory are given.
关键词	Eigenvalue problems Upper and lower bound Weak Galerkin method High accuracy
DOI	10.1007/s10915-022-01986-6
收录类别	SCI
语种	英语
资助项目	National Natural Science Foundation of China[12071350] ; National Natural Science Foundation of China[11871272] ; Shanghai Municipal Science and Technology Major Project[2021SHZDZX0100] ; Science and Technology Commission of Shanghai Municipality
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000848743300001
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/61053
专题	中国科学院数学与系统科学研究院
通讯作者	Xu, Xuejun
作者单位	1.Tongji Univ, Sch Math Sci, Shanghai 200092, Peoples R China 2.Chinese Acad Sci, Inst Computat Math, AMSS, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liang, Qigang,Xu, Xuejun,Yuan, Liuyao. A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds[J]. JOURNAL OF SCIENTIFIC COMPUTING,2022,93(1):21.
APA	Liang, Qigang,Xu, Xuejun,&Yuan, Liuyao.(2022).A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds.JOURNAL OF SCIENTIFIC COMPUTING,93(1),21.
MLA	Liang, Qigang,et al."A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds".JOURNAL OF SCIENTIFIC COMPUTING 93.1(2022):21.