legendre spectral galerkin method for electromagnetic scattering from large cavities

CORC > 软件研究所 > 软件所图书馆 > 期刊论文

	legendre spectral galerkin method for electromagnetic scattering from large cavities
	Li Huiyuan ; Ma Heping ; Sun Weiwei
刊名	SIAM Journal on Numerical Analysis
	2013
卷号	51 期号:1 页码:353-376
关键词	Boundary conditions Error analysis Estimation Galerkin methods Helmholtz equation
ISSN号	0036-1429
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
内容类型	期刊论文
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.