, Volume 9, Issue 1-2, pp 69-95

The method of fundamental solutions for elliptic boundary value problems

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The aim of this paper is to describe the development of the method of fundamental solutions (MFS) and related methods over the last three decades. Several applications of MFS-type methods are presented. Techniques by which such methods are extended to certain classes of non-trivial problems and adapted for the solution of inhomogeneous problems are also outlined.

This revised version was published online in June 2006 with corrections to the Cover Date.