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stokes.

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A Fortin operator for two-dimensionalTaylor-Hood elements
Richard S. Falk
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 42 / Issue 3 / May 2008

Published online by Cambridge University Press:

03 April 2008, pp. 411-424

Print publication:

May 2008
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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.