Title: Displacement decomposition and parallelisation of the PCG method for elasticity problems

Authors: Radim Blaheta, Ondrej Jakl, Jiri Stary

Addresses: Institute of Geonics, Academy of Sciences of the Czech Republic, Studentska 1768, 708 00 Ostrava – Poruba, Czech Republic. ' Institute of Geonics, Academy of Sciences of the Czech Republic, Studentska 1768, 708 00 Ostrava – Poruba, Czech Republic ' Institute of Geonics, Academy of Sciences of the Czech Republic, Studentska 1768, 708 00 Ostrava – Poruba, Czech Republic

Abstract: This paper describes the displacement decomposition for elasticity problems solved by the finite element method. This decomposition can be used for parallel implementation of the conjugate gradient solvers and construction of parallelisable preconditioners. Both the fixed and variable preconditioning can be applied according to the solution of subproblems. Numerical efficiency of the parallel algorithms is demonstrated on an academic benchmark and real-life modelling problem. A comparison with a domain decomposition technique is also provided.

Keywords: finite element method; FEM; preconditioned conjugate gradient method; displacement decomposition; parallelisation; elasticity; parallel computing.

DOI: 10.1504/IJCSE.2005.009702

International Journal of Computational Science and Engineering, 2005 Vol.1 No.2/3/4, pp.183 - 191

Published online: 05 May 2006 *

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