On Tue, May 14, 2013 at 9:25 AM, Manav Bhatia <[email protected]> wrote:
> Hi,
>
>     I am working on higher-order simulation using the hierarchich function
> on quad8s.
>
>     My error-convergence plots give me theoretical convergence for first
> and second order p, but the error stagnates for p > 2. I am speculating
> that this might be due to the lower-order geometry, assuming that the x-
> and y-coordinates are interpolated using Lagrange functions associated with
> nodes of quad8.

What does your domain look like?  Unit square?  If so I don't think
there can be errors due to using even bilinear element maps, the
Jacobians are linear in this case.

What exact solution are you using for testing the convergence?

>     I am considering adding higher order quads to get x- and
> y- interpolation using higher-order Lagrange functions. Any thoughts on how
> easy/difficult this might be?

You are talking about QUAD16?  It shouldn't be too hard but we would
need to come to a consesus on node numbering for this element.

--
John

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