Title :
An Improved Multiquadric RBF Method for 3D Electromagnetic Problems
Author :
Zhang, Yong ; Shao, K.R. ; Guo, Youguang ; Xie, D.X. ; Lavers, J.D.
Author_Institution :
Coll. of Electr. & Electron. Eng., Huazhong Univ. of Sci. & Technol., Wuhan
Abstract :
The multiquadric radial basis function method (MQ RBF or, simply, MQ) developed recently is a truly meshless method with global basis functions. It was introduced for solving many 1D and 2D PDEs, including linear and nonlinear problems. However, few works are found for electromagnetic PDEs, say nothing of 3D problems. This paper presents an improved MQ method for 3D electromagnetic problems. Numerical results show a considerable improvement in accuracy over the traditional MQ method, although both methods are direct collocation method with exponential convergence
Keywords :
computational electromagnetics; finite element analysis; radial basis function networks; 3D electromagnetic problems; direct collocation method; exponential convergence; global basis functions; multiquadric RBF method; nonlinear problems; radial basis function; Boundary value problems; Clouds; Computational efficiency; Computational geometry; Convergence of numerical methods; Educational institutions; Laplace equations; Poisson equations; Shape; Solid modeling;
Conference_Titel :
Electromagnetic Field Computation, 2006 12th Biennial IEEE Conference on
Conference_Location :
Miami, FL
Print_ISBN :
1-4244-0320-0
DOI :
10.1109/CEFC-06.2006.1632901
