发表状态 | 已发表Published |
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
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ISSN/eISSN | 0021-9991 |
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 |
DOI | 10.1016/j.jcp.2013.02.015 |
URL | 查看来源 |
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 | |
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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