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

Yiorgos-Sokratis Smyrlis1, Andreas Karageorghis1

Department of Mathematics and Statistics, University of Cyprus/ Πανεπιστήµιo Kύπρoυ, P.O. Box 20537, 1678 Nicosia/Λευκωσíα, Cyprus/Kύπρoς

Computer Modeling in Engineering & Sciences 2003, 4(5), 535-550. https://doi.org/10.3970/cmes.2003.004.535

Abstract

In this study, we investigate the application of the Method of Fundamental Solutions for the solution of biharmonic Dirichlet problems on a disk. Modifications of the method for overcoming sources of inaccuracy are suggested. We also propose an efficient algorithm for the solution of the resulting systems which exploits the symmetries of the matrices involved. The techniques described in the paper are applied to standard test problems.

Cite This Article

Smyrlis, Y., Karageorghis, A. (2003). Some Aspects of the Method of Fundamental Solutions for Certain Biharmonic Problems. CMES-Computer Modeling in Engineering & Sciences, 4(5), 535–550.



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