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The implementation of a fast, wavelet-based Galerkin discretization of second kind integral equations on piecewise smooth surfaces ; IR 3 is described. It allows meshes consisting of triangles as well as quadrilaterals. The algorithm generates a sparse, approximate sti ness matrix with N = O(N(log N) 2 ) nonvanishing entries in O(N(log N) 4 ) operations where N is the numberof degrees of freedom on the boundary while essentially retaining the asymptotic convergence rate of the full Galerkindoi:10.1137/s1064827597329989 fatcat:yuix53gdkverdpvtvqsm2iqymu