USER'S GUIDE TO A BOUNDARY ELEMENT PACKAGE FOR SOLVING INTEGRAL EQUATIONS ON PIECEWISE SMOOTH SURFACES Release #2

This guide describes a collection of programs for (1) creating and re ning triangulations on surfaces, and (2) solving integral equations using collocation methods over these triangulations. The main purpose of this package is to allow for experimentation with numerical methods for solving boundary integral equations that are de ned on piecewise smooth surfaces in R. General surveys of the numerical solution of boundary integral equation (BIE) reformulations of Laplace's equation are given in [5] and [9], and an introduction to the numerical solution of such BIE is given in [8, Chap. 9]. Our package is restricted to triangulations which are \uniform", as there are additional di culties in dealing with meshes that are suitably graded. We have included a few routines to create graded meshes, to allow for numerical integration of functions which have poor behaviour near edges and corners of the surface. These can also be used for setting up graded meshes for