On Tue, Mar 23, 2010 at 2:41 PM, Roy Stogner <[email protected]> wrote:
>
> On Tue, 23 Mar 2010, John Peterson wrote:
>
>> 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?
>
> You're thinking of the P1-NC "P1 Non-Conforming" element, right?  No,
> that one was simpler in some ways (only 1 dof per edge, instead of 1
> per edge and 1 per vertex, and it was linear on the whole element with
> no subelements) and horribly more complex (did we *ever* figure out
> the right way to do hanging node refinement with it?) in others.
>
> This one's a plain C0 element, 6 nodes on triangles, Lagrange basis;
> the distinction from our LAGRANGE quadratic is that the function space
> is linear on each of the 4 subelements rather than a quadratic on the
> whole element.
>
> You're right that it's a lower-order element; I don't recall what the
> advantage over P1/P0 is supposed to be.

P1/P0 is not LBB-stable.  Gresho & Sani also say "sometimes locks" and
"rarely, if ever, usable."  Ouch.

iso P2 - P1 on the other hand, is LBB-stable.

-- 
John

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