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).

We started investigating this because we were doing some comparisons between 
linear lagrange, second order lagrange and cubic hermites.... and the second 
order lagrange were both faster and more accurate than the cubic hermites!  
This was on a fourth order Cahn-Hilliard like system (we were using a split 
method with the lagrange basis).  This was pretty surprising to me so we went 
to verify that we were getting the proper convergence rates on a simple 
problem... and.... we're not!

Any ideas?

Derek
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