BDDC by a frontal solver and the stress computation in a hip joint replacement

A parallel implementation of the Balancing Domain Decomposition based on Constraints (BDDC) method using the frontal solver is employed to solve systems of linear equations from finite element analysis, and incorporated into a standard finite element system for engineering analysis by linear elastic...

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Bibliographic Details
Published in:Mathematics and computers in simulation 2010-02, Vol.80 (6), p.1310-1323
Main Authors: Šístek, Jakub, Novotný, Jaroslav, Mandel, Jan, Čertíková, Marta, Burda, Pavel
Format: Article
Language:English
Subjects:
Domain decomposition
Finite elements
Iterative substructuring
Linear elasticity
Parallel algorithms
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Summary:A parallel implementation of the Balancing Domain Decomposition based on Constraints (BDDC) method using the frontal solver is employed to solve systems of linear equations from finite element analysis, and incorporated into a standard finite element system for engineering analysis by linear elasticity. Results of computation of stress in a hip replacement are presented. The part is made of titanium and loaded by the weight of human body. The performance of BDDC with added constraints by averages and with added corners is compared.
ISSN:0378-4754
1872-7166
DOI:10.1016/j.matcom.2009.01.002