Well, the problem I think is that the gradients are not well-defined at 
node points, since finite element solutions are piecewise polynomials. 
One way to get an answer (John suggested this to me once) is to compute 
the gradients at quadrature points and then do an L2 projection of that 
solution, and then just sample the projected solution at the nodes.

- Dave


Nasser Mohieddin Abukhdeir wrote:
> Hi:
>     For some post-processing tasks I need to get access to gradients of 
> variables not at the interior quadrature points, but on the nodes 
> themselves.  It seems like a simple enough thing to do, but I cannot 
> find any existing functionality in Libmesh to do it.  I trying to look 
> through the source/documentation, but its been several hours and I am 
> actually more confused now than when I started :)
> 


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