A meshless collocation method based on radial basis functions and wavelets

IEEE Transactions on Magnetics

Volumn 40, Issue 2 II, 2004, Pages 1021-1024

  Ho, S L ^a   Yang, Shiyou ^a,b   Wong, H C ^a   Ni, Guangzheng ^b  

^a HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

^b ZHEJIANG UNIVERSITY   (China)

Author keywords

Collocation; Meshless method; Radial basis function; Wavelet

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FUNCTIONS; GALERKIN METHODS; INTERPOLATION; PARTIAL DIFFERENTIAL EQUATIONS; RADIAL BASIS FUNCTION NETWORKS; WAVELET TRANSFORMS;

COLLOCATION; MESHLESS METHOD; SCALE PARAMETERS; SHAPE FUNCTIONS;

MAGNETOELECTRIC EFFECTS;

EID: 2342472115     PISSN: 00189464     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMAG.2004.824778     Document Type: Article

References (6)

1. X. Zhang, K. Z. Song, and X. Liu, "Meshless methods based on collocation with radial basis functions," Comput. Mech., vol. 26, pp. 333-343, 2000.
2. H. Power, V. Barraco, and U. D. S. Palermo, "A comparison analysis between unsymmetric and symmetric radial basis function collocation method for the numerical solution of partial differential equations," Comput. Math. Applic., vol. 43, pp. 551-583, 2002.
3. J. Li, A. H. D. Cheng, and C. S. Chen, "A comparison of efficiency and error convergence of multiquadric collocation method and finite element method," Eng. Anal. Bound. Elem., vol. 27, pp. 251-257, 2003.
4. Y. C. Hon and R. Schaback, "On unsymmetric collocation by radial basis functions," Appl. Math. Comput., vol. 119, pp. 177-186, 2001.
5. G. J. Wagner J. and W. K. Liu, "Hierarchical enrichment for bridging scales and mesh-free boundary conditions," Int. J. Numer. Methods Eng., vol. 50, pp. 507-524, 2001.
6. S. L. Ho, S. Yang, J. M. Machado, and H. C. Wong, "Application of a meshless method in electromagnetics," IEEE Trans. Magn., vol. 37, pp. 3198-3202, Sept. 2001.