摘要
传统数值方法的展开依赖于基函数网格生成,当离散网格不满足其构成条件时,算法的计算精度和效率会降低。针对这一问题,该文提出了不受离散网格质量限制的无网格方法。该方法采用无规律、自由生成的任意网格,基于点离散基础对目标的电磁特性进行数值分析。给出了无网格法在求解导体表面电磁散射时的矩阵求解过程,包括方程离散过程、矩阵元素计算过程及求解表面电场积分方程时对奇异积分的处理过程。几种典型算例的分析结果表明,无网格方法结合该文预条件提高了近相互作用的准确性。
In view of that the grid generation of traditional numerical method depends on the basis functions, its calculation accuracy and efficiency of algorithm are affected when the mesh does not meet necessary conditions, the meshless method is proposed based on the discrete points without discrete grid quality constraints, and the free arbitrary mesh with no laws is used. The solving process matrix of the meshless method for the electromagnetic conductor surface scattering is given to treat with the process of singular integral calculation process and calculate the surface electric field integral equation, including the equations of the discrete process and the matrix element. The numberical analysis results of several typical examples show that the meshless method based on the pre-conditioner can improve the accuracy of the close interaction.
出处
《南京理工大学学报》
EI
CAS
CSCD
北大核心
2014年第5期669-674,共6页
Journal of Nanjing University of Science and Technology
关键词
无网格法
离散过程
导体表面
散射
奇异性
相关性
meshless method
discrete process
conductor surface
scattering
singularity
correlation
