Title :
A Divergence-Free Meshless Method Based on the Vector Basis Function for Transient Electromagnetic Analysis
Author :
Shunchuan Yang ; Zhizhang Chen ; Yiqiang Yu ; Ponomarenko, S.
Author_Institution :
Sch. of Electron. Eng., Univ. of Electron. Sci. & Technol., Chengdu, China
Abstract :
Although meshless methods, in particularly those with scalar radial basis functions (RBFs), have been applied effectively to solve electromagnetic problems, their solutions may not be always divergence free in source-free regions, resulting in possibly large errors. In this paper, a new vector RBF based meshless method, which is divergence free, is proposed for solving transient electromagnetic problems. Its divergence properties are investigated and compared with those of scalar RBFs; and they are further verified with numerical examples that present good accuracy.
Keywords :
computational electromagnetics; radial basis function networks; transient analysis; RBF based meshless method; divergence-free meshless method; scalar radial basis functions; transient electromagnetic analysis; vector basis function; Equations; Finite difference methods; Magnetic domains; Resonant frequency; Shape; Vectors; Divergence free; meshless; transient analysis; vector radial basis function (RBF);
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2014.2322334
