IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-540-69777-0_5.html
   My bibliography  Save this book chapter

Space–Time Adaption for Advection-Diffusion-Reaction Problems on Anisotropic Meshes

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • S. Micheletti

    (Politecnico di Milano, MOX, Dipartimento di Matematica “F. Brioschi”)

  • S. Perotto

    (Politecnico di Milano, MOX, Dipartimento di Matematica “F. Brioschi”)

Abstract

We deal with the approximation of an unsteady advection-diffusion-reaction problem by means of space-time finite elements, continuous affine in space and piecewise constant in time. In particular, we are interested in the advection-dominated framework. To face the trade-off between computational cost and accuracy, we devise a space-time adaptive procedure where both the time step and the spatial grid are adapted throughout the simulation. Two are the key points involved: the derivation of an a posteriori error estimator where the contributions of the spatial and of the temporal discretization are split; a balance of these two contributions via a proper adaptive scheme. The main novelty of the paper is the interest for an anisotropic mesh adaption framework.

Suggested Citation

  • S. Micheletti & S. Perotto, 2008. "Space–Time Adaption for Advection-Diffusion-Reaction Problems on Anisotropic Meshes," Springer Books, in: Karl Kunisch & Günther Of & Olaf Steinbach (ed.), Numerical Mathematics and Advanced Applications, pages 49-56, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-69777-0_5
    DOI: 10.1007/978-3-540-69777-0_5
    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_5. 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.