I am referring to P2 / (P1 + P0) elements, I think this is the correct way of expressing it. Some call it modified Taylor Hood, others call it something else, but it's not Crouzeix-Raviart elements.
On Sat, May 30, 2015 at 8:28 PM, Jed Brown <[email protected]> wrote: > Justin Chang <[email protected]> writes: > > > Hello everyone, > > > > In SNES ex62, it seems to solve the Stokes equation using TH elements > > (i.e., using P2-P1 elements). However, this formulation is not locally > > conservative, and as a result many people use the P2-P1/P0 elements where > > the pressure space is enriched with a piece-wise constant to ensure mass > > conservation at the element level. > > 1. P2-P1disc is not stable. > > 2. P1disc is not "P1 enriched with piecewise constant", and the latter > does not make sense. > > 3. You're probably thinking of the Crouzeix-Raviart element, which has > P1disc pressure and P2 enriched with a cubic bubble for velocity. That > element is stable and locally conservative. >
