An efficient preconditioning strategy for schur complements arising from biphasic models

Marco Favino*, Rolf Krause, Johannes Steiner

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

2 Scopus citations

Abstract

We consider the mathematical modeling, the numerical simulation and an efficient solution strategy of the periodontal ligament. For the modeling, we employ a bipha-sic approach which takes the fibrous tissue in the PDL into account as well as the fluid between the fibres. After discretization in space and time, a coupled system with saddle point structure has to be solved at each time step. We present and discuss a preconditioning strategy for the Schur complement of this problem. And we apply it for predicting the behavior of realistic problems from dental biomechanics.

Original languageEnglish (US)
Title of host publicationProceedings of the 9th IASTED International Conference on Biomedical Engineering, BioMed 2012
Pages700-705
Number of pages6
DOIs
StatePublished - 2012
Event9th IASTED International Conference on Biomedical Engineering, BioMed 2012 - Innsbruck, Austria
Duration: Feb 15 2012Feb 17 2012

Publication series

NameProceedings of the 9th IASTED International Conference on Biomedical Engineering, BioMed 2012

Conference

Conference9th IASTED International Conference on Biomedical Engineering, BioMed 2012
Country/TerritoryAustria
CityInnsbruck
Period02/15/1202/17/12

Keywords

  • Biphasic model
  • Elastic-biphasic coupling
  • Finite element method
  • Periodontal ligament
  • Schur complement

ASJC Scopus subject areas

  • Biomedical Engineering

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