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.
---
Roy

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