Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods
文献类型：期刊论文
| 作者 | Xu, Liwei1; Yin, Tao2,3 |
| 刊名 | NUMERISCHE MATHEMATIK
 |
| 出版日期 | 2021-03-25 |
| 页码 | 30 |
| 关键词 | 35J25 65N30 74F10 |
| ISSN号 | 0029-599X |
| DOI | 10.1007/s00211-021-01195-7 |
| 英文摘要 | It is well known that the Fourier series Dirichlet-to-Neumann (DtN) boundary condition can be used to solve the Helmholtz equation in unbounded domains. In this work, applying such DtN boundary condition and using the finite element method, we analyze and solve a two dimensional transmission problem describing elastic waves inside a bounded and closed elastic obstacle and acoustic waves outside it. We are mainly interested in analyzing the DtN boundary condition of the Helmholtz equation in order to establish the well-posedness results of the approximated variational equation, and further derive a priori error estimates involving effects of both the finite element discretization and the truncation of DtN map. Finally, some numerical results are presented to illustrate the accuracy of the numerical scheme. |
| 资助项目 | Key Project of the Major Research Plan of NSFC[91630205] ; NSFC[11771068] ; NSFC[12071060] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000632804400001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58296]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, Liwei |
| 作者单位 | 1.Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China 2.CALTECH, Dept Comp & Math Sci, 1200 East Calif Blvd, Pasadena, CA 91125 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Liwei,Yin, Tao. Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods[J]. NUMERISCHE MATHEMATIK,2021:30. |
| APA | Xu, Liwei,&Yin, Tao.(2021).Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods.NUMERISCHE MATHEMATIK,30. |
| MLA | Xu, Liwei,et al."Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods".NUMERISCHE MATHEMATIK (2021):30. |
入库方式： OAI收割
来源：数学与系统科学研究院
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