A Fortin operator for two-dimensional Taylor-Hood elements
ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 3, pp. 411-424.

A standard method for proving the inf-sup condition implying stability of finite element approximations for the stationary Stokes equations is to construct a Fortin operator. In this paper, we show how this can be done for two-dimensional triangular and rectangular Taylor-Hood methods, which use continuous piecewise polynomial approximations for both velocity and pressure.

DOI : 10.1051/m2an:2008008
Classification : 65N30
Mots-clés : finite element, Stokes 
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     title = {A {Fortin} operator for two-dimensional {Taylor-Hood} elements},
     journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique},
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Falk, Richard S. A Fortin operator for two-dimensional Taylor-Hood elements. ESAIM: Modélisation mathématique et analyse numérique, Tome 42 (2008) no. 3, pp. 411-424. doi : 10.1051/m2an:2008008. http://www.numdam.org/articles/10.1051/m2an:2008008/

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