WAVELET SOLUTIONS TO THE NATURAL INTEGRAL EQUATIONS OF THE PLANE ELASTICITY PROBLEM

摘要

In this paper, we apply interpolatory Hermite-type trigonometric waveletsand Galerkin methods to get the numerical solutions of the natural boundaryintegral equations of the plane elasticity problem. Error estimates for the approximation solutions are given. We also give a fast algorithm and for one 2~(j+3) X 2~(j+3) stiffness matrix, we only need to compute 2(2~(j+2) + 2~j-1)) entries.