KMS Of Academy of mathematics and systems sciences, CAS
| A Two-Steps Method Based on Plane Wave for Nonhomogeneous Helmholtz Equations in Inhomogeneous Media | |
Hu, Qiya1,2 ; Zhao, Lin3
| |
| 2018-08-01 | |
| Source Publication | NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS
 |
| ISSN | 1004-8979 |
| Volume | 11Issue:3Pages:453-476 |
| Abstract | 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. |
| Keyword | Nonhomogeneous Helmholtz equation inhomogeneous media plane wave method discontinuous Galerkin method errors preconditioner |
| DOI | 10.4208/nmtma.2017-OA-0054 |
| Language | 英语 |
| Funding Project | Natural Science Foundation of China[G11571352] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied ; Mathematics |
| WOS ID | WOS:000438883300003 |
| Publisher | GLOBAL SCIENCE PRESS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/30801 |
| Collection | 计算数学与科学工程计算研究所 |
| Corresponding Author | Hu, Qiya |
| Affiliation | 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 |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment