Numerical solution of the generalized Laplace equation by the boundary element method

AbstractThe boundary element method (BEM) has, in general, some advantages with respect to domain methods inasmuch as no internal discretization of the domain is required. This article shows that the generalized Laplace equation (GLE) can also be dealt with advantageously by BEM. The basic technique to achieve this consists of transforming the starting equation GLE into a constant-coefficient equation to which the standard BEM can be applied. The procedure is applied to solve numerically three test problems with known analytical solutions