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A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions

A Practical Algorithm for Determining the Optimal Pseudo-Boundary in the Method of Fundamental Solutions
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Year:    2009

Author:    A. Karageorghis

Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 4 : pp. 510–528

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.09-m0916

Advances in Applied Mathematics and Mechanics, Vol. 1 (2009), Iss. 4 : pp. 510–528

Published online:    2009-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:    Method of fundamental solutions elliptic boundary value problems function minimization.

Author Details

A. Karageorghis

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