A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem

doi:10.1093/imanum/dry061

	A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem
	Xi, Yingxia; Ji, Xia; Zhang, Shuo
刊名	IMA JOURNAL OF NUMERICAL ANALYSIS
	2020
卷号	40 期号:1 页码:686-707
关键词	mixed finite element method transmission eigenvalue multi-level scheme
ISSN号	0272-4979
DOI	10.1093/imanum/dry061
英文摘要	In 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.
资助项目	National 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研究方向	Mathematics
语种	英语
出版者	OXFORD UNIV PRESS
WOS记录号	WOS:000544720400022
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/51786]
专题	中国科学院数学与系统科学研究院
通讯作者	Zhang, Shuo
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China
推荐引用方式 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.