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Galerkin Formulations of the Method of Fundamental Solutions

Published online by Cambridge University Press:  03 June 2015

J.R. Berger  and
Andreas Karageorghis
J.R. Berger*
Affiliation:
Department of Mechanical Engineering, Colorado School of Mines, Golden, CO 80401, USA
Andreas Karageorghis*
Affiliation:
Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus
*
Corresponding author. Email: jberger@mines.edu
Email: andreask@ucy.ac.cy
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Abstract

In this paper, we introduce two Galerkin formulations of the Method of Fundamental Solutions (MFS). In contrast to the collocation formulation of the MFS, the proposed Galerkin formulations involve the evaluation of integrals over the boundary of the domain under consideration. On the other hand, these formulations lead to some desirable properties of the stiffness matrix such as symmetry in certain cases. Several numerical examples are considered by these methods and their various features compared.

Keywords

65N3865N3065N3565N80Galerkin formulationLaplace equationmethod of fundamental solutions
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 5 , Special Issue 4 , August 2013 , pp. 423 - 441
Copyright
Copyright © Global-Science Press 2013

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