Parallel Solution Methods for Porous Media Models in Biomechanics | Zendy

Wieners C. | Zendy; Ehlers W. | Zendy; Ammann M. | Zendy; Karajan N. | Zendy; Markert B. | Zendy

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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)

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