I have gone through some of the tutorials previously and thought it was 
about time I actually tried to implement something on my own in the 
library. 

I am attempting to implement a finite strain code using the F-Bar method. 
Essentially this is a single field formulation which requires the 
calculation the of the deformation gradient at the element center. The 
trick here is though that the element centroid isn't a vertex.

My question is, is there a way to "interpolate" the displacement gradient 
at the element center without explicitly making it a quadrature point or 
will I have to implement my own quadrature formula for this method?

Thank you for any assistance that can be provided.

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