Wavelet Galerkin Schemes for Boundary Integral Equations-Implementation and Quadrature

In the present paper we consider the fully discrete wavelet Galerkin scheme for the fast solution of boundary integral equations in three dimensions. It produces approximate solutions within discretization error accuracy offered by the underlying Galerkin method at a computational expense that stays proportional to the number of unknowns. We focus on algorithmical details of the scheme, in particular on numerical integration of relevant matrix coefficients. We illustrate the proposed algorithm by numerical results.