计算物理 ›› 2009, Vol. 26 ›› Issue (2): 299-310.

• 研究论文 • 上一篇    下一篇

径向基函数及其耦合方法在电磁场数值计算中的应用

张淮清, 俞集辉, 郑亚利   

  1. 重庆大学输配电装备及系统安全与新技术国家重点实验室, 重庆 400044
  • 收稿日期:2007-09-27 修回日期:2008-02-24 出版日期:2009-03-25 发布日期:2009-03-25
  • 作者简介:张淮清(1979-),男,安微霍山,讲师,从事电磁场数值计算、数字信号处理工作,重庆大学电气工程学院400044.

Radial Basis Functions and Coupled Method in Computational Electromagnetics

ZHANG Huaiqing, YU Jihui, ZHENG Yali   

  1. State Key Laboratory of Transmission Equipment and System Safety and Electrical New Technology, Chongqing University, Chongqing 400044, China
  • Received:2007-09-27 Revised:2008-02-24 Online:2009-03-25 Published:2009-03-25

摘要: 针对带电导体附近急剧变化的位函数和场函数这一难于处理的边界条件,将小波函数的紧支撑特性和全域径向基函数(RBF)的高精度逼近能力相结合,提出电磁场边值问题求解的耦合方法并应用于接地金属槽/箱的数值计算中;将径向基函数无网格方法引入波导本征值的计算中,给出其求解本征问题的思路,建立相应的离散方程,分析矩形、圆形和脊形波导的本征值并与有限元方法进行比较.数值仿真实验表明,径向基函数及其耦合方法在分析电磁场边值和本征值问题时是有效的且具有实现简单、节点少和精度高的优势.

关键词: 径向基函数, 无网格法, 拟小波, 波导, 本征值

Abstract: For boundary conditions with functions changing rapidly,especially in charged conductors,we combine compact feature of wavelet functions and high accuracy of RBF in a coupled method and solve ground metal trough/box problems. Rectangular,ridge and round waveguides are analyzed with RBF and FEM methods.Numerical experiments show that RBF method is efficient in solving electromagnetic boundary and eigenvalue problems.RBF method is easier and more accurate with less nodes.

Key words: radial basis function, meshless method, quasi wavelet, waveguide, eigenvalue

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