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The method of fundamental solutions for elliptic boundary value problems
Authors:Fairweather  Graeme  Karageorghis  Andreas
Institution:(1) Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, CO 80401-1887, USA;(2) Department of Mathematics and Statistics, University of Cyprus, P.O. Box 537, 1678 Nicosia, Cyprus
Abstract: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.
Keywords:elliptic boundary value problems  fundamental solutions  nonlinear least squares  boundary collocation  65N38  65N99
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