WAVELET METHODS FOR BOUNDARY INTEGRAL EQUATIONS
J.G. Ren · Communications in Numerical Methods in Engineering · 1997
A wavelet boundary element method (WBEM) for boundary integral equations is presented. A discrete approximating integral equation is derived by expanding the function into a wavelet series. Using a circulant matrix method, the coefficient matrix is obtained from the values of the kernel functions on the boundary, instead of by numerical integration. Two examples of two-dimensional Laplace equations are shown. The results obtained by the wavelet boundary element are found to be in good agreement with exact results. © 1997 John Wiley & Sons, Ltd.