IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-33134-3_38.html
   My bibliography  Save this book chapter

Discontinuous Galerkin Methods for Eigenvalue Problems on Anisotropic Meshes

In: Numerical Mathematics and Advanced Applications 2011

Author

Listed:
  • E. J. C. Hall

    (University of Nottingham, School of Mathematical Sciences)

  • S. Giani

    (University of Nottingham, School of Mathematical Sciences)

Abstract

We derive a goal-oriented a posteriori error estimate for hp-adaptive discontinuous Galerkin discretizations of convection-diffusion eigenvalue problems. We consider one-irregular meshes consisting of parallelograms. The estimate yields very accurate measurements of the errors in the two target functionals considered in this paper. The accuracy of our error estimator is also confirmed by the effectivity index very close to 1 in all numerical tests. We apply our goal-oriented estimator as an error indicator in an anisotropic hp-adaptive refinement algorithm and illustrate its practical performance in a series of numerical examples.

Suggested Citation

  • E. J. C. Hall & S. Giani, 2013. "Discontinuous Galerkin Methods for Eigenvalue Problems on Anisotropic Meshes," Springer Books, in: Andrea Cangiani & Ruslan L. Davidchack & Emmanuil Georgoulis & Alexander N. Gorban & Jeremy Levesley (ed.), Numerical Mathematics and Advanced Applications 2011, edition 127, pages 351-359, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-33134-3_38
    DOI: 10.1007/978-3-642-33134-3_38
    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:978-3-642-33134-3_38. 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.