Geodesic
Convergence analysis of the rotated ${\cal Q}_1$ element on anisotropic rectangular meshes
Electronic transactions on numerical analysis, Tome 20 (2005), pp. 154-163.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The main aim of this paper is to study the convergence of the well-known nonconforming rotated $$###$\ddot ${\S} element for the second order elliptic problems on anisotropic rectangular meshes, i.e., the meshes considered in our work do not satisfy the regular assumption. Lastly, a numerical test is carried out, which coincides with our theoretical analysis.$$
Classification : 65N30, 65N15
Keywords: anisotropic, interpolation error, nonconforming, the rotated § $$###$$ element 
@article{ETNA_2005__20__a6,
     author = {Mao, Shipeng and Chen, Shaochun},
     title = {Convergence analysis of the rotated ${\cal Q}_1$ element on anisotropic rectangular meshes},
     journal = {Electronic transactions on numerical analysis},
     pages = {154--163},
     publisher = {mathdoc},
     volume = {20},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2005__20__a6/}
}
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Mao, Shipeng; Chen, Shaochun. Convergence analysis of the rotated ${\cal Q}_1$ element on anisotropic rectangular meshes. Electronic transactions on numerical analysis, Tome 20 (2005), pp. 154-163. http://geodesic.mathdoc.fr/item/ETNA_2005__20__a6/