One of the main difficulties in the application of the method of
fundamental solutions (MFS) is the determination of the position of
the pseudo-boundary on which are placed the singularities in terms
of which the approximation is expressed. In this work, we propose a
simple practical algorithm for determining an estimate of the
pseudo-boundary which yields the most accurate MFS approximation
when the method is applied to certain boundary value problems.
Several numerical examples are provided.
Method of fundamental solutions elliptic boundary value problems function minimization