抄録
In present paper, a wavelet based method is proposed for the numerical calculation of singular integrals in light of the orthogonal and compact support features of wavelet bases. The key point of this new approach is that the integral is proved possibly to be computed at a very low resolution level. A new decomposition procedure is also proposed based on the Mallat's multiresolution algorithm in order that the singular kernel of the integrand function can be decomposed from a high resolution level. The applications of this method to an one dimensional singular integral and to the surface integral term of an eddy current analysis formula (T method) show that the wavelet integration method can both give a high accuracy and reduce computer burden in practical calculations. Finally, a surface singular integral utilized in the three dimensional eddy current analysis is discussed by comparing analytical results with those evaluated by the present and conventional numerical approaches.
