The method of fundamental solutions for axisymmetric potential problems

In this paper, we investigate the application of the Method of Fundamental Solutions (MFS) to two classes of axisymmetric potential problems. In the f irst, the boundary conditions as well as the domain of the problem, are axi symmetric, and in the second, the boundary conditions are arbitrary. In bot h cases, the fundamental solutions of the governing equations and their nor mal derivatives, which are required in the formulation of the MFS, can be e xpressed in terms of complete elliptic integrals. The method is tested on s everal axisymmetric problems from the literature and is also applied to an axisymmetric free boundary problem. Copyright (C) 1999 John Wiley & Sons, L td.