2010/3/23 John Peterson <[email protected]>

> 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.
>

what about the P2-P0 case? any opinions/experience on that?
regards,
Vasilis



> --
> John
>
>
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