IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v80y2010i6p1310-1323.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475409000044
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2009.01.002?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:80:y:2010:i:6:p:1310-1323. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.