## Collocation BEM for 3D Laplace Equation

Download CBEM_LAP, a package for solving the 3D Laplace equation based on a piecewise **constant** Collocation Boundary Element Method.

# Piecewise constant collocation method

The potential and flux are assumed to be constant over each boundary element. It can be shown (see cbem_lapGuide.pdf provided in the package CBEM_LAP) that the potentials

and

due to a uniform source distribution over a flat triangle can be employed to successfully compute and on . In addition, these potentials can be utilized to effectively calculate at interior points The analytic expressions for and over a flat triangle are given in [1].

# References

- [1] S. Nintcheu Fata.

Explicit expressions for 3D boundary integrals in potential theory.

*Int. J. Num. Meth. Eng.*, 78(1):32-47, 2009.