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Second Conference on Numerical Analysis and Applications
June 11-15, 2000
University of Rousse
Rousse, Bulgaria

Organizers
Plamen Yalamov, Marcin Paprzycki, Lubin Vulkov

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The Method of Fundamental Solutions in Elastostatics
by
A. Karageorghis
University of Cyprus
Coauthors: A. Poullikkas (Electricity Authority of Cyprus), G. Georgiou (University of Cyprus)

0mm 5mm plus 2mm minus 2mm



THE METHOD OF FUNDAMENTAL SOLUTIONS IN ELASTOSTATICS



Andreas Poullikkas

Electricity Authority of Cyprus
P.O. Box 40113, 6301 Larnaca, Cyprus



Andreas Karageorghis and Georgios Georgiou

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



ABSTRACT

We condider the application of the Method of Fundamental Solutions (MFS) to elastostatics problems in two and three space dimensions ([1, 2]). In both cases, each of the displacements is approximated by a linear combination of the fundamental solutions of the Navier equations of elasticity. Sources are placed outside the domain of the problem under consideration. The final positions of the sources and the coefficients of the fundamental solutions are determined by enforcing the satisfaction of the boundary conditions in a least squares sense. The applicability of the method is demonstrated on several test problems.



References

  1. G. Fairweather and A. Karageorghis, The method of fundamental solutions for elliptic boundary value problems, Adv. Comput. Math., 9, 69-95, 1998.

  2. V. D. Kupradze, Potential Methods in the Theory of Elasticity, Israel Program for Scientific Translations, Jerusalem, 1965.

Date received: January 31, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caeb-36.