IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-69777-0_35.html

On the Choice of Parameters in Stabilization Methods for Convection–Diffusion Equations

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • V. John

    (Universität des Saarlandes, Fachbereich 6.1 – Mathematik)

  • P. Knobloch

    (Charles University, Faculty of Mathematics and Physics)

Abstract

A popular finite element approach for the numerical solution of convection–diffusion equations is the streamline upwind/Petrov–Galerkin (SUPG) method. Unfortunately, in the convection–dominated regime, the SUPG solution often contains spurious oscillations along sharp layers. A possible remedy is to introduce an additional artificial diffusion term in the SUPG discretization. We call such approaches spurious oscillations at layers diminishing (SOLD) methods. The properties of the SOLD methods are significantly influenced by the choice of the respective stabilization parameter which determines the amount of the artificial diffusion. The aim of this paper is to discuss various definitions of these stabilization parameters.

Suggested Citation

  • V. John & P. Knobloch, 2008. "On the Choice of Parameters in Stabilization Methods for Convection–Diffusion Equations," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 297-304, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_35
    DOI: 10.1007/978-3-540-69777-0_35
    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:978-3-540-69777-0_35. 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.