A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media
文献类型：期刊论文
| 作者 | Hu, Qiya1,2 ; Zhao, Lin3
|
| 刊名 | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| 出版日期 | 2018-08-01 |
| 卷号 | 11期号:3页码:453-476 |
| 关键词 | Nonhomogeneous Helmholtz equation inhomogeneous media plane wave method discontinuous Galerkin method errors preconditioner |
| ISSN号 | 1004-8979 |
| DOI | 10.4208/nmtma.2017-OA-0054 |
| 英文摘要 | In this paper we are concerned with numerical methods for nonhomogeneous Helmholtz equations in inhomogeneous media. We try to extend the plane wave method, which has been widely used to the discretization of homogeneous Helmholtz equations with constant wave numbers, to solving nonhomogeneous Helmholtz equations with piecewise constant wave numbers. To this end, we propose a combination between the plane wave discontinuous Galerkin (PWDG) method and the high order element discontinuous Galerkin (HODG) method for the underlying Helmholtz equations. In this composite methods, we need only to solve a series of local Helmholtz equations by the HODG method and solve a locally homogeneous Helmholtz equation with element-wise constant wave number by the PWDG method. In particular, we first consider non-matching grids so that the generated approximations have better performance for the current case. Numerical experiments show that the proposed methods are very effective to the tested Helmholtz equations. |
| 资助项目 | Natural Science Foundation of China[G11571352] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000438883300003 |
| 出版者 | GLOBAL SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/30800]  |
| 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.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.China Elect Corp, Huada Empyrean Software Co Ltd, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Hu, Qiya,Zhao, Lin. A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media[J]. NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,2018,11(3):453-476. |
| APA | Hu, Qiya,&Zhao, Lin.(2018).A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media.NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS,11(3),453-476. |
| MLA | Hu, Qiya,et al."A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media".NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS 11.3(2018):453-476. |
入库方式： OAI收割
来源：数学与系统科学研究院
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