BOUNDARY INTEGRAL EQUATIONS IN R³

This is a collection of programs for solving a boundary integral equation reformulation of the interior Dirichlet problems for Laplace's equation in R³. The programs are described in the paper

K. Atkinson, Algorithm 629: An integral equation program for Laplace's equation in three dimensions, ACM Transactions on Mathematical Software 11 (1985), pp. 85-96.

Generalizations have been written for other boundary integral equation problems, and the author should be contacted directly for information about these programs, at Kendall-Atkinson@uiowa.edu.

You can access a general introduction, the program gnrt.f (to generate the Galerkin coefficients), and the program dirichlet_3d.f (to solve the interior Dirichlet problem).

Auxilliary files and programs of interest:

• input_file_name, giving the same of the file containing the data.
• gnrt.data, giving actual data for running the program gnrt.f.
• gnrt.data-model, giving the format of the data file for running the program gnrt.f.
• print_coeff.f, a utility program to print in a readable fashion the spherical polynomial coefficients generated by gnrt.f.
• basis_num.f, a utility to generate the indices of the various coefficients in a more common format, translating from the format used in gnrt.f and dirichlet_3d.f.
• dirichlet.datagiving actual data for running the program dirichlet_3d.f.
• dirichlet.data-model, giving the format of the data file for running the program dirichlet_3d.f.