Volume 1, Issue 4
A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions

A. Karageorghis

Adv. Appl. Math. Mech., 1 (2009), pp. 510-528.

Published online: 2009-01

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  • Abstract

One of the main difficulties in the application of the method of fundamental solutions (MFS) is the determination of the position of the pseudo-boundary on which are placed the singularities in terms of which the approximation is expressed. In this work, we propose a simple practical algorithm for determining an estimate of the pseudo-boundary which yields the most accurate MFS approximation when the method is applied to certain boundary value problems. Several numerical examples are provided.

  • Keywords

Method of fundamental solutions elliptic boundary value problems function minimization

  • AMS Subject Headings

65N35 65N38 65K10

  • Copyright

COPYRIGHT: © Global Science Press

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