IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v76y2007i4p249-262.html
   My bibliography  Save this article

Algebraic multigrid methods for elastic structures with highly discontinuous coefficients

Author

Listed:
  • Xiao, Yingxiong
  • Zhang, Ping
  • Shu, Shi

Abstract

In this paper, we propose two types of algebraic multigrid (AMG) methods to find the numerical solution of elastic structures with highly discontinuous coefficients. One is the interface preserving coarsening AMG method. The idea of this method is to capture the discontinuous behavior of the gradient of the displacement functions along the interfaces. It selects coarse grid points so that all the coarse grids are aligned with the interface for regular interface problems on structured grids and for irregular interface problems on unstructured grids in a purely algebraic way. As a result, AMG with simple linear interpolation and point block Gauss–Seidel smoothing is sufficient to obtain the usual rapid multigrid convergence. The process of coarse grid selection given in this paper can be performed in parallel. Another method introduced in this paper is an AMG method by applying a special block Gauss–Seidel smoother with blocks corresponding to the constant coefficient regions and their interfaces. The results of various numerical experiments in two dimensions are presented. It is shown from the numerical results that the resulting AMG methods are more robust and efficient than the commonly used AMG method in both CPU times and numbers of iteration for elastic structures with highly discontinuous coefficients.

Suggested Citation

  • Xiao, Yingxiong & Zhang, Ping & Shu, Shi, 2007. "Algebraic multigrid methods for elastic structures with highly discontinuous coefficients," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(4), pages 249-262.
    • Handle: RePEc:eee:matcom:v:76:y:2007:i:4:p:249-262
    DOI: 10.1016/j.matcom.2006.10.025
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475406002758
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2006.10.025?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.

    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:76:y:2007:i:4:p:249-262. 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.