[petsc-users] Modified Taylor-Hood elements with piece-wise constant pressure for Stokes equation

[Matthew Knepley]

On Mon, Jun 1, 2015 at 9:38 AM, Jed Brown <jed at jedbrown.org> wrote:

> Justin Chang <jychang48 at gmail.com> writes:
>
> > There are a few papers that discuss this modified/augmented Taylor-Hood
> > elements for Stokes equations in detail (e.g.,
> > http://link.springer.com/article/10.1007%2Fs10915-011-9549-4).
>
> This analysis does not state a finite element.


They certaiinly state the approximation space up front. Then later in the
paper
they say that they independently test with P1 and P0, and that this has a 1D
null space, and then in the solution section they have some way of handling
that
which I ignored because its easy to handle.

  Matt


> > From what I have seem, it seems people primarily use this to ensure
> > local mass conservation while attaining the desirable qualities of the
> > TH element.  Lately I have seen this element used in many FEniCS and
> > Deal.II applications (and it's also very easy to implement, just a few
> > additional lines of code),
>
> Could you point to a specific example?  How are they handling
> linear dependence of the "basis"?
>



-- 
What most experimenters take for granted before they begin their
experiments is infinitely more interesting than any results to which their
experiments lead.
-- Norbert Wiener
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