[Un élément fini non conforme quadrilatéral simple]
Dans ce travail, nous présentons et analysons un élément fini non conforme en quadrangles. Nous obtenons une estimation d'erreur a priori optimale pour des quadrangles réguliers arbitraires. Nous présentons également l'idée d'extension tridimensionnelle de cet élément.
We introduce and analyze a simple nonconforming quadrilateral finite element and then we derive optimal a priori error estimates for arbitrary regular quadrilaterals. The idea of extension to some non-conforming elements for three-dimensional hexahedrons is also presented.
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@article{CRMATH_2014__352_6_529_0,
author = {Achchab, Boujem\^aa and Agouzal, Abdellatif and Bouihat, Khalid},
title = {A simple nonconforming quadrilateral finite element},
journal = {Comptes Rendus. Math\'ematique},
pages = {529--533},
publisher = {Elsevier},
volume = {352},
number = {6},
year = {2014},
doi = {10.1016/j.crma.2014.03.020},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2014.03.020/}
}
TY - JOUR AU - Achchab, Boujemâa AU - Agouzal, Abdellatif AU - Bouihat, Khalid TI - A simple nonconforming quadrilateral finite element JO - Comptes Rendus. Mathématique PY - 2014 SP - 529 EP - 533 VL - 352 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2014.03.020/ DO - 10.1016/j.crma.2014.03.020 LA - en ID - CRMATH_2014__352_6_529_0 ER -
%0 Journal Article %A Achchab, Boujemâa %A Agouzal, Abdellatif %A Bouihat, Khalid %T A simple nonconforming quadrilateral finite element %J Comptes Rendus. Mathématique %D 2014 %P 529-533 %V 352 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2014.03.020/ %R 10.1016/j.crma.2014.03.020 %G en %F CRMATH_2014__352_6_529_0
Achchab, Boujemâa; Agouzal, Abdellatif; Bouihat, Khalid. A simple nonconforming quadrilateral finite element. Comptes Rendus. Mathématique, Tome 352 (2014) no. 6, pp. 529-533. doi : 10.1016/j.crma.2014.03.020. http://www.numdam.org/articles/10.1016/j.crma.2014.03.020/
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