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

Author

Listed:
  • Šístek, Jakub
  • Novotný, Jaroslav
  • Mandel, Jan
  • Čertíková, Marta
  • Burda, Pavel

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.

Suggested Citation

  • Šístek, Jakub & Novotný, Jaroslav & Mandel, Jan & Čertíková, Marta & Burda, Pavel, 2010. "BDDC by a frontal solver and the stress computation in a hip joint replacement," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(6), pages 1310-1323.
  • Handle: RePEc:eee:matcom:v:80:y:2010:i:6:p:1310-1323
    DOI: 10.1016/j.matcom.2009.01.002
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    Cited by:

    1. Šístek, Jakub & Čertíková, Marta & Burda, Pavel & Novotný, Jaroslav, 2012. "Face-based selection of corners in 3D substructuring," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(10), pages 1799-1811.
    2. Mandel, Jan & Sousedík, Bedřich & Šístek, Jakub, 2012. "Adaptive BDDC in three dimensions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(10), pages 1812-1831.
    3. Pultarová, Ivana, 2012. "Preconditioning of the coarse problem in the method of balanced domain decomposition by constraints," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(10), pages 1788-1798.

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