I failed to copy my reply to the list yesterday; obviously Roy has
already responded to this question.

Roy: Is my memory correct in that this is the same "perfectly
unnested" element (with respect to h-refinement) we looked at for
shallow water equations a while back?

--
John




---------- Forwarded message ----------
From: John Peterson <[email protected]>
Date: Mon, Mar 22, 2010 at 6:18 PM
Subject: Re: [Libmesh-users] P2-iso-P1
To: Minq Q <[email protected]>


On Mon, Mar 22, 2010 at 5:29 PM, Minq Q <[email protected]> wrote:
> Hi again,
>
>> assume you mean P2-P1 Taylor-Hood elements? Check out libMesh examples 13
> and 18.
>
> I am sorry, The elements I am asking is not P1-iso-P2. The correct is
> P1-iso-P2/P1 element. Here, the pressure and velocity variables are discrete
> by the linear elements. But the velocity elements are "twice finer" than the
> pressure element. That mean, 4 velocity elements = 1 pressure element.

Yeah, according to Gresho and Sani, this is like a P1 P1 (triangular)
element on a 4-patch macroelement in 2D, and something equivalent in
3D.  I'm not sure what the benefit is though, since they also say it's
a 1st-order element.  I think this is an element we looked at while
doing shallow-water equations a while back, but we abandoned the idea
because the function spaces don't nest under refinement...

> Can I do it with libMesh?

Not as-is, but I'll let Roy comment further.  He has implemented what
I would consider much more complicated macroelements in Libmesh, and
would probably be able to give you a much better answer.

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