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电磁场积分方程的径向基函数退化核研究

发表时间:2014-04-30  浏览量:1574  下载量:699
全部作者: 潘灿林,张明,薄亚明
作者单位: 南京邮电大学电子科学与工程学院
摘 要: 提出一种采用径向基函数插值的退化核函数,用于加速电磁场积分方程的矩量法求解。基于H矩阵理论,矩量法得到的系数矩阵可以划分为近区作用块和远区作用块,其中远区作用块由退化核函数近似。径向基函数退化核通过在源区和场区分别构造插值基函数,实现源区和场区的分离,减少了计算所需存储量和计算量。为进一步提高计算效率,采用一种新的插值点网格。例算结果验证了所提方法的有效性,该退化核函数适用于构造电磁场问题的快速求解器。
关 键 词: 微波技术;电磁场积分方程;退化核函数;H矩阵;径向基函数
Title: Study on the degenerate kernel of radial basis function for electromagnetic integral equation
Author: PAN Canlin, ZHANG Ming, BO Yaming
Organization: College of Electronic Science & Engineering, Nanjing University of Posts and Telecommunications
Abstract: A degenerate kernel constructed with radial basis function interpolation is proposed to accelerate the moment-method-based solver for electromagnetic integral equations. Based on the H-matrix theory, the coefficient matrix can be divided into far-field interaction blocks, which are approximated by degenerate kernel functions of radial basis function, and near-field interaction blocks. Source and field regions are separated by the degenerate kernels with the interpolation basis functions on source group and field group respectively, which can reduce the memory consumption and the computational time. In order to further improve the computational efficiency, a novel interpolation scheme is adopted. The numerical results verify the efficiency of the proposed method, and that the degenerate kernel is suitable to build a fast solver for electromagnetic field problems.
Key words: microwave technology; electromagnetic integral equation; degenerate kernel function; H-matrix; radial basis function
发表期数: 2014年4月第8期
引用格式: 潘灿林,张明,薄亚明. 电磁场积分方程的径向基函数退化核研究[J]. 中国科技论文在线精品论文,2014,7(8):766-771.
 
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