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题名Arbitrary high-order C0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity
作者
发表日期2013
发表期刊Journal of Computational Physics
ISSN/eISSN0021-9991
卷号242页码:181-195
摘要

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 C0 piecewise polynomials of degree κ ≥ 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(N2logN) operations on an N × 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. © 2013 Elsevier Inc.

关键词Electromagnetic scattering Fast algorithm Helmholtz equation Tensor product FEM
DOI10.1016/j.jcp.2013.02.015
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收录类别SCIE
语种英语English
WOS研究方向Computer Science ; Physics
WOS类目Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号WOS:000319049800010
引用统计
被引频次:14[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/3252
专题个人在本单位外知识产出
通讯作者Du, Kui
作者单位
1.School of Mathematical Sciences, Xiamen University, Xiamen 361005, China
2.Department of Mathematics, City University of Hong Kong, Kowloon, Hong Kong
3.School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
推荐引用方式
GB/T 7714
Du, Kui,Sun, Weiwei,Zhang, Xiaoping. Arbitrary high-order C0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity[J]. Journal of Computational Physics, 2013, 242: 181-195.
APA Du, Kui, Sun, Weiwei, & Zhang, Xiaoping. (2013). Arbitrary high-order C0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity. Journal of Computational Physics, 242, 181-195.
MLA Du, Kui,et al."Arbitrary high-order C0 tensor product Galerkin finite element methods for the electromagnetic scattering from a large cavity". Journal of Computational Physics 242(2013): 181-195.
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