What is the asymptotic accuracy mixed discretization of a fourth-order
PDE with a second order Lagrange basis?
Not to say that there isn't a problem with Hermite, but it seems to me
that this split lagrange space is richer than
Hermite, so it should have at least the same accuracy (or better).

Dmitry.
On Wed, Jun 1, 2011 at 9:35 AM, Derek Gaston <[email protected]> wrote:
> On Jun 1, 2011, at 8:28 AM, Jed Brown wrote:
>
> On Wed, Jun 1, 2011 at 15:38, Derek Gaston <[email protected]> wrote:
>>
>> Has anyone done any MMS verification on cubic hermite convergence rates?
>>  I thought they were supposed to be O(h^4).... but we're only seeing O(h^2)
>> on a fairly simple 2D poisson problem with an assumed solution of
>> u=sin(8*pi*x).
>
> Are you using sufficient quadrature for the Hermite basis?
>
> That was actually my first thought as well... so I have our post-doc redoing
> the study with a much higher order QRule... we'll see if that yields any
> results.
> Derek
>
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