IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v76y2007i1p149-154.html
   My bibliography  Save this article

On a MIC(0) preconditioning of non-conforming mixed FEM elliptic problems

Author

Listed:
  • Margenov, S.
  • Minev, P.

Abstract

In this paper we analyze a preconditioner for mixed finite element systems arising in the approximation of a second order elliptic problem with Neumann boundary conditions by triangular non-conforming elements. This problem stems from the so called projection methods for the unsteady Navier–Stokes equations and is one of the most computationally intensive parts of the method. The present study is focused on the efficient implementation of the modified incomplete LU factorization MIC(0) as a preconditioner in the PCG iterative method for the reduced Schur complement system following from the mixed formulation of the pressure Poisson problem. The presented model analysis and the related set of numerical tests illustrate well the potential of the proposed approach.

Suggested Citation

  • Margenov, S. & Minev, P., 2007. "On a MIC(0) preconditioning of non-conforming mixed FEM elliptic problems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 76(1), pages 149-154.
  • Handle: RePEc:eee:matcom:v:76:y:2007:i:1:p:149-154
    DOI: 10.1016/j.matcom.2007.01.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475407000328
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.matcom.2007.01.021?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. Boyanova, P. & Georgiev, I. & Margenov, S. & Zikatanov, L., 2012. "Multilevel preconditioning of graph-Laplacians: Polynomial approximation of the pivot blocks inverses," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(10), pages 1964-1971.

    More about this item

    Keywords

    Non-conforming mixed FEM; Preconditioning;

    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:eee:matcom:v:76:y:2007:i:1:p:149-154. 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.