IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4615-0113-8_21.html
   My bibliography  Save this book chapter

Algebraic Multigrid Method on Lattice Block Materials

In: Recent Progress in Computational and Applied PDES

Author

Listed:
  • Shi Shu

    (Xiangtan University, Institute for Computational and Applied Mathematics)

  • Jinchao Xu

    (Pennsylvania State University, Department of Mathematics and Center for Computational Mathematics and Applications)

  • Yingxiong Xiao

    (Xiangtan University, Institute for Computational and Applied Mathematics)

  • Ludmil Zikatanov

    (Pennsylvania State University, Department of Mathematics and Center for Computational Mathematics and Applications)

Abstract

In this paper, we construct and numerically analyze a class of algebraic multi-grid methods applied to discrete mathematical models for lattice block materials. Some extensive numerical experiments and comparison results are presented. They clearly demonstrate that the constructed algebraic mutigrid method is uniformly convergent with respect to the size of the lattice and some crucial parameters.

Suggested Citation

  • Shi Shu & Jinchao Xu & Yingxiong Xiao & Ludmil Zikatanov, 2002. "Algebraic Multigrid Method on Lattice Block Materials," Springer Books, in: Tony F. Chan & Yunqing Huang & Tao Tang & Jinchao Xu & Long-An Ying (ed.), Recent Progress in Computational and Applied PDES, pages 289-307, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-0113-8_21
    DOI: 10.1007/978-1-4615-0113-8_21
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:spr:sprchp:978-1-4615-0113-8_21. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.