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The method of fundamental solutions for elliptic boundary value problems

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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.

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  1. Department of Mathematical and Computer Sciences, Colorado School of Mines, Golden, CO, 80401-1887, USA

    Graeme Fairweather

  2. Department of Mathematics and Statistics, University of Cyprus, P.O. Box 537, 1678, Nicosia, Cyprus

    Andreas Karageorghis

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Fairweather, G., Karageorghis, A. The method of fundamental solutions for elliptic boundary value problems. Advances in Computational Mathematics 9, 69–95 (1998). https://doi.org/10.1023/A:1018981221740

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