Author(s)

T.V. Hromadka II

Abstract

The Complex Variable Boundary Element Method, or CVBEM, is a two- dimensional (2D) potential problem numerical approximation technique. In this paper, the application of the CVBEM towards improving the numerical accuracy of three-dimensional (3D) numerical methods, in solving 3D potential problems, is introduced. The provided theoretical approach can be directly extended to other 2D numerical techniques. I. Mathematical formulation Let Qbe a three-dimensional (3D) domain, with boundary F, with coordinates given for an arbitrary point by (i\, T%, tg). Consider the 3D potential problem V = f(tj, 12, 13) on QuF with boundary conditions of the Dirichlet type (BCs) defined on F by the function <|>bCci, %2,

Keywords