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Parallel Solution Methods for Porous Media Models in Biomechanics
Author(s) -
Wieners C.,
Ehlers W.,
Ammann M.,
Karajan N.,
Markert B.
Publication year - 2005
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200510010
Subject(s) - preconditioner , computation , context (archaeology) , computer science , finite element method , nonlinear system , porous medium , scale (ratio) , computational science , structural engineering , algorithm , porosity , engineering , materials science , iterative method , physics , geology , composite material , paleontology , quantum mechanics
We present a biomechanical application of our parallel finite element model for coupled problems in solid mechanics. This programming framework provides a very lean and flexible interface, which allows to realize time‐dependent nonlinear simulations. In this context, a special variant of a stabilized local Gauß‐Seidel preconditioner is introduced, which can be successfully employed to large scale computations. Finally, the efficiency of the implemented algorithm is shown by a numerical example considering the axial compression of a L4‐L5 motion segment of the spine. (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)