Title:         Stability of higher order Hood-Taylor methods

Authors:       Franco Brezzi and Richard S. Falk

Source:        SIAM J. NUMER.ANAL., vol. 28 (1991), pp. 581-590

Status:        Published

Abstract:      The stability of a higher order Hood-Taylor method for the
               approximation of the stationary Stokes equations using
               continuous piecewise polynomials of degree 3 to approximate
               velocities and continuous piecewise polynomials of degree 2
               to approximate the pressure is proved.  This result implies
               that the standard finite element method using these spaces
               satisfies a quasi-optimal error estimate. The technique
               used may also be applied to prove the stability of Hood-Taylor
               rectangular elements of arbitrary degree k for velocities and
               k-1 for pressure in each variable.

Key words:     Stokes, finite element

AMS(MOS) subject classifications. 65N30