A new class of nonconforming finite elements for the enrichment of Q1 element on convex polytope

Boujemâa Achchab, Allal Guessab and Yassine Zaim

Applied Mathematics and Computation, 2015, vol. 271, issue C, 657-668

Abstract: This paper establishes a new class of nonconforming finite elements by including additional enriched functions (not necessary polynomials) to the standard Q1(K) element on convex polytope. Here we focus on their fundamental construction principles and some of their approximation properties. In addition, we show how this approach can be used to enrich locally the well-known Wilson element. The present enrichment method for this class of Wilson-type nonconforming finite element is based on a single univariate function, and some arbitrary number of free parameters. We also obtain explicit expressions for the basis functions of the new enriched element.

Keywords: Convex polytopes; Enriched finite element method; Nonconforming finite element; Q1(K) element; Wilson finite element (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:657-668

DOI: 10.1016/j.amc.2015.09.041

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