Author(s)

A. Karageorghis and G. Fairweather

Abstract

In this paper, we describe how the Method of Fundamental Solutions (MFS) can be applied to various axisymmetric boundary value problems. In all cases examined, the fundamental solutions and their derivatives may be ex- pressed in terms of complete elliptic integrals, which can be easily evaluated using widely available library software. The method is applied to two test problems from potential theory. 1 Introduction The Method of Fundamental Solutions (MFS) is a technique for the numer- ical solution of certain elliptic boundary value problems which falls in the class of methods generally called boundary methods. Like

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