Geodesic
New quadrilateral mixed finite elements
Electronic transactions on numerical analysis, Tome 37 (2010), pp. 189-201.

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Summary: In this paper, we introduce a new family of mixed finite element spaces of higher order (k $\geq 1$) on general quadrilateral grids. A typical element has two fewer degrees of freedom than the well-known Raviart- Thomas finite element RT[k], yet enjoys an optimal-order approximation for the velocity in L2-norm. The order of approximation in the divergence norm is one less than the velocity, as is common to all other known elements, except for a recent element introduced by Arnold et al. [SIAM J. Numer. Anal., 42 (2005), pp. 2429-2451]. However, we
Classification : 65N15, 65N30
Keywords: mixed finite element method, quadrilateral grid, optimal velocity, post-processing 
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     author = {Hyon, Yunkyong and Kwak, Do Y.},
     title = {New quadrilateral mixed finite elements},
     journal = {Electronic transactions on numerical analysis},
     pages = {189--201},
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     volume = {37},
     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2010__37__a14/}
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Hyon, Yunkyong; Kwak, Do Y. New quadrilateral mixed finite elements. Electronic transactions on numerical analysis, Tome 37 (2010), pp. 189-201. http://geodesic.mathdoc.fr/item/ETNA_2010__37__a14/