IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v272y2016ip2p274-290.html
   My bibliography  Save this article

Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable

Author

Listed:
  • Kopriva, David A.
  • Gassner, Gregor J.

Abstract

We investigate three effects of the variable geometric terms that arise when approximating linear conservation laws on curved elements with a provably stable skew-symmetric variant of the discontinuous Galerkin spectral element method (DGSEM). We show for a constant coefficient system that the non-constant coefficient problem generated by mapping a curved element to the reference element is stable and has energy bounded by the initial value as long as the discrete metric identities are satisfied. Under those same conditions, the skew-symmetric approximation is also constant state preserving and discretely conservative, just like the original DGSEM.

Suggested Citation

  • Kopriva, David A. & Gassner, Gregor J., 2016. "Geometry effects in nodal discontinuous Galerkin methods on curved elements that are provably stable," Applied Mathematics and Computation, Elsevier, vol. 272(P2), pages 274-290.
    • Handle: RePEc:eee:apmaco:v:272:y:2016:i:p2:p:274-290
    DOI: 10.1016/j.amc.2015.08.047
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315011029
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.08.047?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.

    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:apmaco:v:272:y:2016:i:p2:p:274-290. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.