Title :
A meshless collocation method based on radial basis functions and wavelets
Author :
Ho, S.L. ; Yang, Shiyou ; Wong, H.C. ; Ni, Guangzheng
Author_Institution :
Dept. of Electr. Eng., Hong Kong Polytech. Univ., China
fDate :
3/1/2004 12:00:00 AM
Abstract :
A meshless method based on collocation with radial basis functions (RBFs) and wavelets is proposed. It is shown that the proposed method takes full advantage of both RBFs and wavelets. The bridging scales are employed to preserve the mathematical properties of the entire bases in terms of consistency and linear independence. A numerical example that is used to validate the proposed method is reported.
Keywords :
electromagnetism; finite element analysis; interpolation; partial differential equations; radial basis function networks; wavelet transforms; consistency; finite element analysis; linear independence; mesh-free methods; meshless collocation method; partial differential equation; radial basis functions; wavelets; Boundary conditions; Bridges; Degradation; Finite element methods; Interpolation; Iterative algorithms; Mathematical model; Moment methods; Partial differential equations; Shape;
Journal_Title :
Magnetics, IEEE Transactions on
DOI :
10.1109/TMAG.2004.824778
