  By supplementing the pressure space for the Taylor-Hood element a triangular
element that satisfies continuity over each element is produced. Making a novel
extension of the patch argument to prove stability, this element is shown to be
globally stable and give optimal rates of convergence on a wide range of
triangular grids. This theoretical result is extended in the discussion given
in the appendix, showing how optimal convergence rates can be obtained on all
grids. Two examples are presented, one illustrating the convergence rates and
the other illustrating difficulties with the Taylor-Hood element which are
overcome by the element presented here.
