ABSTRACT
In previous chapters, we have discussed integral representations, integral equations, and boundary-element methods for Laplace’s equation in two and three dimensions, with occasional reference to Helmholtz’s equation and the steady-state convection – diffusion equation. Prerequisites for applying the theoretical formulation and numerical methods to other differential equations of the general form
L[f(x)] = 0; (6.1) where L[] is a differential operator, are the following:
The differential operator L[] is elliptic, that is, the solution of (6.1) is determined exclusively by data specified around the boundaries of the solution domain.
