A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem
文献类型：期刊论文
| 作者 | Xi, Yingxia; Ji, Xia; Zhang, Shuo |
| 刊名 | IMA JOURNAL OF NUMERICAL ANALYSIS
 |
| 出版日期 | 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 |
| WOS记录号 | WOS:000544720400022 |
| 出版者 | OXFORD UNIV PRESS |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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