legendre spectral galerkin method for electromagnetic scattering from large cavities
文献类型：期刊论文
| 作者 | Li Huiyuan ; Ma Heping ; Sun Weiwei |
| 刊名 | SIAM Journal on Numerical Analysis
 |
| 出版日期 | 2013 |
| 卷号 | 51期号:1页码:353-376 |
| ISSN号 | 0036-1429 |
| 关键词 | Boundary conditions Error analysis Estimation Galerkin methods Helmholtz equation |
| 中文摘要 | The paper is concerned with the electromagnetic scattering from a large cavity embedded in an infinite ground plane, which is governed by a Helmholtz type equation with nonlocal hypersingular transparent boundary condition on the aperture. We first present some stability estimates with the explicit dependency of wavenumber for the Helmholtz type cavity problem. Then a Legendre spectral Galerkin method is proposed, in which the Legendre-Gauss interpolatory approximation is applicable to the hypersingular integral and a Legendre-Galerkin scheme is used for the approximation to the Helmholtz equation. The existence and the uniqueness of the approximation solution are established for large wavenumbers; the stability and the spectral convergence of the numerical method are then proved. Illustrative numerical results presented confirm our theoretical estimates and show that the proposed spectral method, compared with low-order finite difference methods, is especially effective for problems with large wavenumbers. © 2013 Society for Industrial and Applied Mathematics. |
| 英文摘要 | The paper is concerned with the electromagnetic scattering from a large cavity embedded in an infinite ground plane, which is governed by a Helmholtz type equation with nonlocal hypersingular transparent boundary condition on the aperture. We first present some stability estimates with the explicit dependency of wavenumber for the Helmholtz type cavity problem. Then a Legendre spectral Galerkin method is proposed, in which the Legendre-Gauss interpolatory approximation is applicable to the hypersingular integral and a Legendre-Galerkin scheme is used for the approximation to the Helmholtz equation. The existence and the uniqueness of the approximation solution are established for large wavenumbers; the stability and the spectral convergence of the numerical method are then proved. Illustrative numerical results presented confirm our theoretical estimates and show that the proposed spectral method, compared with low-order finite difference methods, is especially effective for problems with large wavenumbers. © 2013 Society for Industrial and Applied Mathematics. |
| 收录类别 | EI |
| 语种 | 英语 |
| WOS记录号 | WOS:000315573700017 |
| 公开日期 | 2013-09-17 |
| 源URL | [http://ir.iscas.ac.cn/handle/311060/15644]  |
| 专题 | 软件研究所_软件所图书馆_期刊论文 |
| 推荐引用方式 GB/T 7714 | Li Huiyuan,Ma Heping,Sun Weiwei. legendre spectral galerkin method for electromagnetic scattering from large cavities[J]. SIAM Journal on Numerical Analysis,2013,51(1):353-376. |
| APA | Li Huiyuan,Ma Heping,&Sun Weiwei.(2013).legendre spectral galerkin method for electromagnetic scattering from large cavities.SIAM Journal on Numerical Analysis,51(1),353-376. |
| MLA | Li Huiyuan,et al."legendre spectral galerkin method for electromagnetic scattering from large cavities".SIAM Journal on Numerical Analysis 51.1(2013):353-376. |
入库方式： OAI收割
来源：软件研究所
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