Title :
An Improved Multiquadric Collocation Method for 3-D Electromagnetic Problems
Author :
Zhang, Yong ; Shao, K.R. ; Guo, Youguang ; Zhu, Jianguo ; Xie, D.X. ; Lavers, J.D.
Author_Institution :
Huazhong Univ. of Sci. & Technol., Wuhan
fDate :
4/1/2007 12:00:00 AM
Abstract :
The multiquadric radial basis function method (MQ RBF or, simply, MQ) developed recently is a truly meshless collocation method with global basis functions. It was introduced for solving many 1- and 2-D partial differential equations (PDEs), including linear and nonlinear problems. However, few works are found for electromagnetic PDEs, especially for 3-D problems. This paper presents an improved MQ collocation method for 3-D electromagnetic problems. Numerical results show a considerable improvement in accuracy over the traditional MQ collocation method, although both methods are direct collocation method with exponential convergence
Keywords :
computational electromagnetics; partial differential equations; radial basis function networks; 3D electromagnetic problems; exponential convergence; global basis functions; linear-nonlinear problems; multiquadratic radial basis function method; multiquadric collocation method; partial differential equations; Clouds; Computational efficiency; Computational geometry; Convergence of numerical methods; Educational institutions; Finite element methods; Laplace equations; Partial differential equations; Shape; Solid modeling; 3-D problems; Meshless method; multiquadric;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2007.892479
