IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v82y2012i10p1799-1811.html
   My bibliography  Save this article

Face-based selection of corners in 3D substructuring

Author

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

Abstract

In most recent substructuring methods, a fundamental role is played by the coarse space. For some of these methods (e.g. BDDC and FETI-DP), its definition relies on a ‘minimal’ set of coarse nodes (sometimes called corners) which assures invertibility of local subdomain problems and also of the global coarse problem. This basic set is typically enhanced by enforcing continuity of functions at some generalized degrees of freedom, such as average values on edges or faces of subdomains. We revisit existing algorithms for selection of corners. The main contribution of this paper consists of proposing a new heuristic algorithm for this purpose. Considering faces as the basic building blocks of the interface, inherent parallelism, and better robustness with respect to disconnected subdomains are among features of the new technique. The advantages of the presented algorithm in comparison to some earlier approaches are demonstrated on three engineering problems of structural analysis solved by the BDDC method.

Suggested Citation

  • 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.
  • Handle: RePEc:eee:matcom:v:82:y:2012:i:10:p:1799-1811
    DOI: 10.1016/j.matcom.2011.06.007
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475411001820
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2011.06.007?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.

    References listed on IDEAS

    as
    1. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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:82:y:2012:i:10:p:1799-1811. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.