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A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem
Xi, Yingxia; Ji, Xia; Zhang, Shuo
2020
Source PublicationIMA JOURNAL OF NUMERICAL ANALYSIS
ISSN0272-4979
Volume40Issue:1Pages:686-707
AbstractIn this paper, we present a multi-level mixed element scheme for the Helmholtz transmission eigenvalue problem on polygonal domains that are not necessarily able to be covered by rectangular grids. We first construct an equivalent linear mixed formulation of the transmission eigenvalue problem and then discretize it with Lagrangian finite elements of low regularities. The proposed scheme admits a natural nested discretization, based on which we construct a multi-level scheme. Optimal convergence rate and optimal computational cost can be obtained with the scheme.
Keywordmixed finite element method transmission eigenvalue multi-level scheme
DOI10.1093/imanum/dry061
Indexed BySCI
Language英语
Funding ProjectNational Natural Science Foundation of China[11471026] ; National Natural Science Foundation of China[11271018] ; National Natural Science Foundation of China[91630313] ; National Centre for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000544720400022
PublisherOXFORD UNIV PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/51787
Collection中国科学院数学与系统科学研究院
Corresponding AuthorZhang, Shuo
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Xi, Yingxia,Ji, Xia,Zhang, Shuo. A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem[J]. IMA JOURNAL OF NUMERICAL ANALYSIS,2020,40(1):686-707.
APA Xi, Yingxia,Ji, Xia,&Zhang, Shuo.(2020).A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem.IMA JOURNAL OF NUMERICAL ANALYSIS,40(1),686-707.
MLA Xi, Yingxia,et al."A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem".IMA JOURNAL OF NUMERICAL ANALYSIS 40.1(2020):686-707.
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