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