Julian,

> I have seen several posts in the list covering this some way or another,
> but I still have no clear understanding of the best/easiest way to do this:
> what can I get shape function values and gradients at the cell vertices?  I
> am looking for something where I could get them along the lines of 
> for each cell
>   for each vertex
>     get shape functions and/or gradients at vertex
>     given solution + shape gradients, compute response 
>   end vertex for
> end cell for

You have to create a Quadrature formula that denotes the points at which you 
want to evaluate the solution. For the vertices, this would be the QTrapez 
rule. Then you need to create an FEValues object with it that allows you to 
get values, gradients, etc of a solution at these quadrature points.

Best
 W.

-------------------------------------------------------------------------
Wolfgang Bangerth                email:            [email protected]
                                 www: http://www.math.tamu.edu/~bangerth/

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