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Falk, Richard S.

A Fortin operator for two-dimensional Taylor-Hood elements. (English) Zbl 1143.65085

ESAIM, Math. Model. Numer. Anal. 42, No. 3, 411-424 (2008).
Summary: 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. 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.

Cited in 13 Documents

MSC:

65N12 Stability and convergence of numerical methods for boundary value problems involving PDEs
35J25 Boundary value problems for second-order elliptic equations
35Q30 Navier-Stokes equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs

Keywords:

finite element
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References:

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