# PLANAR BOUNDARY INTEGRAL EQUATIONS

## FORTRAN CODE FOR SMOOTH BOUNDARIES:

A Fortran program is described in the paper

K. Atkinson
and Young-mok Jeon, Algorithm 788: Automatic boundary integral equation programs
for the planar Laplace equation, *ACM Transactions on Mathematical Software*
**24** (1998), pp. 395-417.

For a copy of this paper, click
here.

You can access an
introduction to the programs,
the subroutine
DRCHLT which solves the
interior and exterior Dirichlet problem, and the subroutine
NEUMAN which solves the
interior and exterior Neumann problem.

To aid in using and testing the programs, sample driver programs are
provided, for both
DRCHLT and
NEUMAN. Associated
sample outputs are available for both
DRCHLT and
NEUMAN. The sample
data files for the given output files are given for both programs in
correspondingly named files with the suffix
*data*.

For access to all files, including the data files, click
here.

The programs have been compiled and checked on workstations of HP, Sun, SGI,
and IBM; and they have been checked on a PC running MS Fortran 77.

## MATLAB CODES FOR PLANAR REGIONS:

We have a package for solving several standard boundary integral equation
reformulations of Laplace's equation in the plane. Programs are given for interior
and exteriors regions, with Dirichlet and Neumann boundary conditions. For most of the problems, the boundary is assumed to be smooth. For the interior Dirichlet problem, programs are given for both a smooth boundary and a polygonal boundary. For details of how to use the programs and of the mathematics behind them, see the
Manual. The programs are given
here.