IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v268y2015icp916-923.html
   My bibliography  Save this article

A general approach to the construction of nonconforming finite elements on convex polytopes

Author

Listed:
  • Achchab, Boujemâa
  • Bouihat, Khalid
  • Guessab, Allal
  • Schmeisser, Gerhard

Abstract

This paper establishes a general approach for constructing a new class of nonconforming finite elements on arbitrary convex polytope. Our contributions generalize or complete several well-known nonconforming finite elements such as: the Crouzeix–Raviart triangle element, the Han parallelogram element, the nonconforming rotated parallelogram element of Rannacher and Turek, and several others.

Suggested Citation

  • Achchab, Boujemâa & Bouihat, Khalid & Guessab, Allal & Schmeisser, Gerhard, 2015. "A general approach to the construction of nonconforming finite elements on convex polytopes," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 916-923.
    • Handle: RePEc:eee:apmaco:v:268:y:2015:i:c:p:916-923
    DOI: 10.1016/j.amc.2015.06.128
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315009121
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.06.128?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. Dell’Accio, Francesco & Di Tommaso, Filomena & Guessab, Allal & Nudo, Federico, 2023. "A general class of enriched methods for the simplicial linear finite elements," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    2. Achchab, Boujemâa & Guessab, Allal & Zaim, Yassine, 2015. "A new class of nonconforming finite elements for the enrichment of Q1 element on convex polytope," Applied Mathematics and Computation, Elsevier, vol. 271(C), pages 657-668.

    More about this item

    Keywords

    Convex polytopes; Crouzeix–Raviart finite element; Nonconforming finite element; Rotated Q1 element;
    All these keywords.

    JEL classification:

    • Q1 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture

    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:apmaco:v:268:y:2015:i:c:p:916-923. 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.