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应用科学学报 ›› 2009, Vol. 27 ›› Issue (5): 520-524.

• 电子技术 • 上一篇    下一篇

高阶矢量基函数的叠层网格快速算法

李清波;周平;陈如山   

  1. 1. 淮阴师范学院物理与电子电气工程学院，江苏淮安223300
    2. 南京理工大学通信工程系，南京210094
  • 收稿日期:2009-02-26 修回日期:2009-06-29 出版日期:2009-09-25 发布日期:2009-09-25
  • 通信作者: 陈如山，教授，博导，研究方向：第4 代移动通信理论、通信与信息系统中的快速智能算法、微波毫米波集成电路与系统、电磁脉冲与瞬态电磁场、雷达与电磁兼容技术、计算电磁学，E-mail: cherrychen4060@yahoo.com
  • 基金资助:
     江苏省教育厅自然科学基金(No.06KJD510028) 资助项目

Fast Multiple Grid Algorithm Based on Higher Order Hierarchical Vector Basis Functions

  1. 1. School of Physics and Electronic Electrical Engineering, Huaiyin Normal University, Huaian 223300,
    Jiangsu Province, China
    2. Communication Department, Nanjing University of Science and Technology, Nanjing 210094, China
  • Received:2009-02-26 Revised:2009-06-29 Online:2009-09-25 Published:2009-09-25

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1798

被引次数

1

摘要：

根据Andersen提出的用于矢量有限元中的高阶叠层旋度共形基函数，导出一种高阶叠层散度共形基函数，将其用于矩量法中，并结合多层快速多极子方法分析导体目标的散射问题. 为了进一步提高叠层基函数的计算效率，提出了基于广义极小余量法的叠层网格迭代算法，用于基于高阶叠层矢量基函数的多层快速多极子方法中. 通过计算导体球和橄榄体的雷达散射截面，验证了该文方法的高效性.

关键词: 矩量法, 高阶矢量基函数, 雷达散射截面, 多层快速多极子方法

Abstract:

According to Andersen’s high order curl vector basis function, a set of higher order hierarchical basis functions is proposed for electrical field integral equations solved with the method of moments. Combined with the multilevel fast multipole method (MLFMM) the basis function is used to accelerate matrix vector product in
analyzing electromagnetic scattering and radiation of electrical targets. A hierarchical grid iterative algorithm based on the generalized minimal residual (GMRES) algorithm is proposed to improve computation efficiency. Numerical results show that this method is effective in dealing with electromagnetic scattering.

Key words: method of moments, higher order vector basis function, radar cross section, fast multipole method

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