论文信息 - A study of wavelets for the solution of electromagnetic integral equations

A study of wavelets for the solution of electromagnetic integral equations

The use of wavelet basis functions for the efficient solution of electromagnetic integral equations is studied. It has previously been demonstrated that the use of wavelets for expansion and testing functions produces a sparse moment-method matrix. Here, this effect is examined and analyzed in terms of the radiation/receiving characteristics of the wavelet basis functions. The limitations of wavelets as an efficient solution technique are discussed, and a comparison is made to other fast algorithms. >

Weng Cho Chew | W. Chew | R. L. Wagner

[1] Weng Cho Chew,et al. Fast algorithm for solving hybrid integral equations , 1993 .

[2] Y. Leviatan,et al. On the use of wavelet expansions in the method of moments (EM scattering) , 1993 .

[3] Ronald R. Coifman,et al. Wavelet-Like Bases for the Fast Solution of Second-Kind Integral Equations , 1993, SIAM J. Sci. Comput..

[4] I. Daubechies. Orthonormal bases of compactly supported wavelets , 1988 .

[5] R. Coifman,et al. Fast wavelet transforms and numerical algorithms I , 1991 .

[6] Gilbert Strang,et al. Wavelets and Dilation Equations: A Brief Introduction , 1989, SIAM Rev..

[7] C. N. Lu,et al. Modelling multiple injection bus in power system state estimation , 1993 .

[8] F. X. Canning,et al. Improved impedance matrix localization method (EM problems) , 1993 .

[9] V. Rokhlin,et al. The fast multipole method (FMM) for electromagnetic scattering problems , 1992 .

[10] V. Rokhlin. Rapid Solution of Integral Equations of Scattering Theory , 1990 .

[11] Weng Cho Chew,et al. A ray‐propagation fast multipole algorithm , 1994 .

[12] R. L. Wagner,et al. Fast waveguide mode computation using wavelet-like basis functions , 1993, IEEE Microwave and Guided Wave Letters.

[13] Hao Ling,et al. On the application of fast wavelet transform to the integral‐equation solution of electromagnetic scattering problems , 1993 .