On the Numerical Dispersion of the Radial Point Interpolation Meshless (RPIM) Method in Lossy Media

被引：0
|
作者：
Zhang, Xiaoyan [1 ,2 ]
Chen, Zhizhang [3 ]
Yu, Yiqiang [1 ,3 ]
机构：
[1] East China Jiaotong Univ, Sch Informat Engn, Nanchang 330013, Jiangxi, Peoples R China
[2] State Key Lab Millimeter Waves, Nanjing 210096, Peoples R China
[3] Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS B3J 2X4, Canada
来源：
APPLIED COMPUTATIONAL ELECTROMAGNETICS SOCIETY JOURNAL | 2018年 / 33卷 / 12期
基金：
中国国家自然科学基金; 加拿大自然科学与工程研究理事会;
关键词：
Gaussian basis function; multiquadric basis function; numerical dispersion; radial point interpolation method (RPIM); TIME-DOMAIN METHODS; STABILITY;
D O I：
暂无
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
A general formula for numerical dispersion of the two-dimensional time-domain radial point interpolation meshless (2-D RPIM) method is analytically derived. Numerical loss and dispersion characteristics of the RPIM method with both Gaussian and multiquadric basis functions are investigated. It is found that numerical loss and dispersion errors of the RPIM vary with types of basis functions used and associated parameters, number of the nodes, and medium conductivities. In addition, condition numbers of the moment matrix of the meshless methods can also increase numerical dispersion errors. With a reasonable condition number of the moment matrix, the radial point interpolation meshless methods perform generally better than the FDTD method in terms of numerical dispersion errors.
引用
收藏
页码：1332 / 1339
页数：8
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