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

Authors:
Jakub Šístek;Jaroslav Novotný;Jan Mandel;Marta ertíková;Pavel Burda
Affiliations:
Institute of Mathematics, Academy of Sciences of the Czech Republic, Czech Republic and Institute of Thermomechanics, Academy of Sciences of the Czech Republic, Czech Republic;Department of Mathematics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic;Department of Mathematical and Statistical Sciences, University of Colorado Denver, United States;Department of Mathematics, Faculty of Mechanical Engineering, Czech Technical University in Prague, Czech Republic;Department of Mathematics, Faculty of Mechanical Engineering, Czech Technical University in Prague, Czech Republic
Venue:
Mathematics and Computers in Simulation
Year:
2010

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Abstract

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.