Preconditioning for large scale micro finite element analyses of 3d poroelasticity

Authors:
Peter Arbenz;Erhan Turan
Affiliations:
Department of Computer Science, ETH Zürich, Zürich, Switzerland;Department of Computer Science, ETH Zürich, Zürich, Switzerland
Venue:
PARA'12 Proceedings of the 11th international conference on Applied Parallel and Scientific Computing
Year:
2012

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Abstract

Osteoporosis is considered as a major health problem in the world. An understanding of the behavior of human bone under cyclic load requires numerical simulation of the physics. For that purpose, a large scale poroleastic solver is developed based on the mixed finite element method. This approach is free of numerical instabilities yet the discretization leads to an indefinite system that needs special attention. In this work, a comparison is made on several preconditioners that work efficiently in parallel environments.