Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers
文献类型：期刊论文
| 作者 | Yuan, Long1; Hu, Qiya2,3
|
| 刊名 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
 |
| 出版日期 | 2019-05-17 |
| 页码 | 22 |
| 关键词 | Helmholtz equation nonhomogeneous variable wave numbers generalized plane wave local spectral elements error estimates |
| ISSN号 | 0020-7160 |
| DOI | 10.1080/00207160.2019.1616177 |
| 英文摘要 | In this paper we are concerned with numerical method for nonhomogeneous Helmholtz equations with variable wave numbers. We derive generalized plane wave basis functions for three-dimensional homogeneous Helmholtz equations with variable wave numbers. Then, by combining the local spectral element method, we design a generalized plane wave discontinuous Galerkin method for the discretization of such nonhomogeneous Helmholtz equations (in both dimensions two and three dimensions). We show that the approximation solutions generated by the proposed discretization method yield error estimates with high accuracies. Numerical results indicate that the resulting approximate solutions generated by the new method possess high accuracy and verify the validity of the theoretical results. |
| 资助项目 | Natural Science Foundation of China -NSF[11501529] ; Scientific Research Foundation of Shandong University of Science and Technology for Recruited Talents ; Natural Science Foundation of China[G11571352] ; Qinddao applied basic research project[17-1-1-9-jch] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000470453000001 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34874]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Hu, Qiya |
| 作者单位 | 1.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao, Shandong, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yuan, Long,Hu, Qiya. Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,2019:22. |
| APA | Yuan, Long,&Hu, Qiya.(2019).Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers.INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS,22. |
| MLA | Yuan, Long,et al."Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers".INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS (2019):22. |
入库方式： OAI收割
来源：数学与系统科学研究院
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