Matrix decomposition MFS algorithms for elasticity and thermo-elasticity problems in axisymmetric domains |
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Authors: | Andreas Karageorghis Yiorgos-Sokratis Smyrlis |
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Institution: | Department of Mathematics and Statistics/TMHMA MAθHMATIKΩN KAI ΣTATIΣTIKHΣ, University of Cyprus/ΠANEΠIΣTHMIO K?ΠPO?, P.O. Box 20537, 1678 Nicosia/ΛE?EΩΣIA Cyprus/K?ΠPOΣ |
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Abstract: | In this work, we propose an efficient matrix decomposition algorithm for the Method of Fundamental Solutions when applied to three-dimensional boundary value problems governed by elliptic systems of partial differential equations. In particular, we consider problems arising in linear elasticity in axisymmetric domains. The proposed algorithm exploits the block circulant structure of the coefficient matrices and makes use of fast Fourier transforms. The algorithm is also applied to problems in thermo-elasticity. Several numerical experiments are carried out. |
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Keywords: | primary 35E05 65F05 35J55 65N35 secondary 35J40 41A30 65N38 |
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