Numerical Algorithms

, 43:123 | Cite as

A matrix decomposition MFS algorithm for certain linear elasticity problems

Original Paper

Abstract

We propose an efficient matrix decomposition Method of Fundamental Solutions algorithm for the solution of certain two-dimensional linear elasticity problems. In particular, we consider the solution of the Cauchy–Navier equations in circular domains subject to Dirichlet boundary conditions, that is when the displacements are prescribed on the boundary. The proposed algorithm is extended to the case of annular domains. Numerical experiments for both types of problems are presented.

Keywords

method of fundamental solutions Cauchy–Navier system matrix decomposition algorithm fast Fourier transform circulant matrices 

Mathematics Subject Classifications (2000)

Primary 35J55 35E05 65N35 Secondary 65N38 65F30 65T50 

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Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  • A. Karageorghis
    • 1
  • Y. -S. Smyrlis
    • 1
  • T. Tsangaris
    • 1
  1. 1.Department of Mathematics and StatisticsUniversity of CyprusNicosiaCyprus

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