IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v64y2004i6p649-668.html
   My bibliography  Save this article

Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems

Author

Listed:
  • Axelsson, O.
  • Karátson, J.

Abstract

Separate displacement preconditioners are studied in the context of outer–inner iterations for a model in 3D nonlinear elasticity. Such a preconditioner, already known to be efficient for linear models, arises as the discretization of three independent Laplacian operators. In this paper the resulting condition number is investigated with focus on independence of parameters. Estimates are given which show that the condition number is uniformly bounded w.r.t. both the studied Newton iterate and the chosen discretization. Finally, it is sketched that ill-conditioning caused by nearly incompressible material parameters can be handled by a suitable mixed formulation.

Suggested Citation

  • Axelsson, O. & Karátson, J., 2004. "Conditioning analysis of separate displacement preconditioners for some nonlinear elasticity systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 64(6), pages 649-668.
    • Handle: RePEc:eee:matcom:v:64:y:2004:i:6:p:649-668
    DOI: 10.1016/j.matcom.2003.11.017
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475403002234
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2003.11.017?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. Georgiev, A & Margenov, S & Neytcheva, M, 1999. "Multilevel algorithms for 3D simulation of nonlinear elasticity problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 50(1), pages 175-182.
    2. Axelsson, Owe, 2003. "Iteration number for the conjugate gradient method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 61(3), pages 421-435.
    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.

      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:64:y:2004:i:6:p:649-668. 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.