Workshop on Biomechanics and Chemotaxis, Thu, 13 Dec, 2007
Speaker: Svetozar Margenov
Abstract
The presented comparative analysis concerns two advanced parallel iterative
solvers for large-scale linear systems related to micro-FEM simulation
of human bones. The benchmark problems represent the strongly heterogeneous
structure of real bone specimens. The voxel data are obtained by a high
resolution computer tomography.
Non-conforming Rannacher-Turek finite elements are used for discretization
of the considered problem of linear elasticity. It is well known that the
preconditioned conjugate gradient method is the best tool for efficient
solution of large-scale symmetric systems with sparse, positive definite
matrices. Here, the performance of two parallel preconditioners is studied.
Both are based on displacement decomposition. The first one uses modified
incomplete Cholesky factorization MIC(0), and the other - algebraic
multigrid (BoomerAMG).
URL: www.ricam.oeaw.ac.at/specsem/ssqbm/participants/abstracts/index.php
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