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

Author

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  • 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
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    Cited by:

    1. 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.
    2. 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).

    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

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