Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4642543 | Journal of Computational and Applied Mathematics | 2007 | 22 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Andreas Karageorghis, Yiorgos-Sokratis Smyrlis,