A Time-Domain Collocation Meshless Method With Local Radial Basis Functions for Electromagnetic Transient Analysis

被引：18

作者：

Yang, Shunchuan ^{[1
]}

Yu, Yiqiang ^{[1
,2
]}

Chen, Zhizhang ^{[1
]}

Ponomarenko, Sergey ^{[3
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Elect Engn, Beijing 100084, Peoples R China

[2] East China Jiaotong Univ, Nanchang, Jiangxi, Peoples R China

[3] Dalhousie Univ, Dept Elect & Comp Engn, Halifax, NS, Canada

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2014年 / 62卷 / 10期

关键词：

Meshless; radial basis function (RBF); time-domain modeling; wave equations; COMPUTATIONAL FLUID-DYNAMICS; POINT INTERPOLATION METHOD; DATA APPROXIMATION SCHEME; FINITE-ELEMENT METHODS; MULTIQUADRICS;

D O I：

10.1109/TAP.2014.2342220

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 meshless method with local radial basis functions is proposed for solving the time-domain electromagnetic wave equations. In comparison with the conventional radial point interpolation meshless (RPIM) method that employs and positions dual sets of nodes of both electric and magnetic field nodes, the proposed method uses only one set of the nodes, electric field nodes where electric fields are also collocated in space. With this feature, implementation complexity of the RPIM method is significantly reduced, and conformal modeling and muti-scale capabilities of the RPIM method can now be further explored with higher efficiency. The time-marching formulations of the proposed method are derived and stability analysis of the method is presented. Comparisons of the proposed method with the conventional meshless method are also presented. The accuracy and efficiency of the proposed method are demonstrated through simulation of an H-shaped cavity and a quarter ring resonator.

引用

页码：5334 / 5338

页数：5

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