## Fast Spectral Collocation Method for Surface Integral Equations of Potential Problems in a Spheroid.

- Zhenli Xu, Wei Guo Cai
- Communications in computational physics
- 2009

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@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} }

- Published 1985 in ACM Trans. Math. Softw.
DOI:10.1145/214392.214393

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