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

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 elemen...

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Veröffentlicht in:	Applied mathematics and computation 2015-10, Vol.268, p.916-923
Hauptverfasser:	Achchab, Boujemâa, Bouihat, Khalid, Guessab, Allal, Schmeisser, Gerhard
Format:	Artikel
Sprache:	eng
Schlagworte:	Convex polytopes Crouzeix–Raviart finite element Mathematics Nonconforming finite element Rotated Q1 element
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Beschreibung
Zusammenfassung:	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.
ISSN:	0096-3003 1873-5649
DOI:	10.1016/j.amc.2015.06.128