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

Authors:
Yiorgos-Sokratis Smyrlis;Andreas Karageorghis
Affiliations:
Department of Mathematics and Statistics, University of Cyprus/Πανϵπιστ´ημιo K´υπρoυ, P.O. Box 20537, 16 ...;Department of Mathematics and Statistics, University of Cyprus/Πανϵπιστ´ημιo K´υπρoυ, P.O. Box 20537, 16 ...
Venue:
Journal of Scientific Computing
Year:
2002

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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.