Arbitrary high-order C-0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity

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	Arbitrary high-order C-0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity
	Du, Kui ; Sun, Weiwei ; Zhang, Xiaoping ; Du K(杜魁)
刊名	http://dx.doi.org/10.1016/j.jcp.2013.02.015
	2013
关键词	ITERATIVE ALGORITHM HELMHOLTZ-EQUATION INTEGRAL-EQUATIONS GROUND PLANE PRECONDITIONER SCHEMES COMPLEX
英文摘要	National Natural Science Foundation of China [11201392]; Natural Science Foundation of Fujian Province of China [2012J05010]; Doctoral Fund of Ministry of Education of China [20120121120020]; The paper is concerned with the electromagnetic scattering from a large cavity embedded in an infinite ground plane. The electromagnetic cavity problem is described by the Helmholtz equation with a nonlocal boundary condition on the aperture of the cavity and Dirichlet (or Neumann) boundary conditions on the walls of the cavity. A tensor product Galerkin finite element method (FEM) is proposed, in which spaces of C-0 piecewise polynomials of degree j kappa >= 1 are employed. By the fast Fourier transform and the Toeplitz-type structure of the approximation to the nonlocal operator in the nonlocal boundary condition, a fast algorithm is designed for solving the linear system arising from the cavity problem with (vertically) layered media, which requires O(N-2 logN) operations on an N x N uniform partition. Numerical results for model problems illustrate the efficiency of the fast algorithm and exhibit the expected optimal global convergence rates of the finite element methods. Moreover, our numerical results also show that the high-order approximations are especially effective for problems with large wave numbers. (C) 2013 Elsevier Inc. All rights reserved.
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/91276]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Du, Kui,Sun, Weiwei,Zhang, Xiaoping,et al. Arbitrary high-order C-0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity[J]. http://dx.doi.org/10.1016/j.jcp.2013.02.015,2013.
APA	Du, Kui,Sun, Weiwei,Zhang, Xiaoping,&杜魁.(2013).Arbitrary high-order C-0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity.http://dx.doi.org/10.1016/j.jcp.2013.02.015.
MLA	Du, Kui,et al."Arbitrary high-order C-0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity".http://dx.doi.org/10.1016/j.jcp.2013.02.015 (2013).