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

文献类型：期刊论文

作者Liang, Qigang1; Xu, Xuejun1,2; Yuan, Liuyao1
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期2022-10-01
卷号93期号:1页码:21
关键词Eigenvalue problems Upper and lower bound Weak Galerkin method High accuracy
ISSN号0885-7474
DOI10.1007/s10915-022-01986-6
英文摘要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.
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
语种英语
WOS记录号WOS:000848743300001
出版者SPRINGER/PLENUM PUBLISHERS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/61052]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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