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Some Aspects of the Method of Fundamental Solutions for Certain Harmonic Problems

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Abstract

The Method of Fundamental Solutions (MFS) is a boundary-type method for the solution of certain elliptic boundary value problems. The basic ideas of the MFS were introduced by Kupradze and Alexidze and its modern form was proposed by Mathon and Johnston. In this work, we investigate certain aspects of a particular version of the MFS, also known as the Charge Simulation Method, when it is applied to the Dirichlet problem for Laplace's equation in a disk.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, University of Cyprus, Cyprus, P.O. Box 20537, 1678

    Yiorgos-Sokratis Smyrlis & Andreas Karageorghis

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  1. Yiorgos-Sokratis Smyrlis
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  2. Andreas Karageorghis
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Smyrlis, YS., Karageorghis, A. Some Aspects of the Method of Fundamental Solutions for Certain Harmonic Problems. Journal of Scientific Computing 16, 341–371 (2001). https://doi.org/10.1023/A:1012873712701

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