Algorithm 629: An Integral Equation Program for Laplace's Equation in Three Dimensions

@article{Atkinson1985Algorithm6A,
  title={Algorithm 629: An Integral Equation Program for Laplace's Equation in Three Dimensions},
  author={Kendall E. Atkinson},
  journal={ACM Trans. Math. Softw.},
  year={1985},
  volume={11},
  pages={85-96}
}
with D a simply-connected region in R3, and assume that the boundary S of D is a smooth surface. In this paper we describe a subroutine, LAPLAC, for solving the interior Dirichlet problem for this equation, implementing the numerical method described in [6]. The method of solution is based on representing the unknown u as a double layer potential, thus leading to a well-known integral equation of the second kind. This integral equation is then solved by the Galerkin method (see [3, p. 62… CONTINUE READING