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

Boujemâa Achchab, Khalid Bouihat, Allal Guessab and Gerhard Schmeisser

Applied Mathematics and Computation, 2015, vol. 268, issue C, 916-923

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.

Keywords: Convex polytopes; Crouzeix–Raviart finite element; Nonconforming finite element; Rotated Q1 element (search for similar items in EconPapers)
Date: 2015
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300315009121
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:268:y:2015:i:c:p:916-923

DOI: 10.1016/j.amc.2015.06.128

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().