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Summary: USER'S GUIDE TO A BOUNDARY ELEMENT
PACKAGE FOR SOLVING INTEGRAL
EQUATIONS ON PIECEWISE SMOOTH
SURFACES
Kendall E. Atkinson
Department of Mathematics
University of Iowa
Iowa City, Iowa 52242, USA
July 6, 1994
1 OVERVIEW
This guide describes a collection of programs for (1) creating and refining triangulations
on surfaces, and (2) solving integral equations using collocation methods over these tri
angulations. The main purpose of this package is to allow for experimentation with
numerical methods for solving boundary integral equations that are defined on piecewise
smooth surfaces in R 3 : For a general survey of the numerical solution of boundary inte
gral equation reformulations of Laplace's equation, see [5]. The package is restricted to
triangulations which are ``uniform''. But we are developing additional routines to allow
for the use of graded meshes in solving boundary integral equations on surfaces for which
the unknown density function has poor behaviour near edges and corners of the surface.
1.1 Framework for Triangulation
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