Hi all,

I'd like to apply a method to a finite element function (that is, something 
that looks like the solution vectors) in order to get another finite 
element function. For example, suppose my finite element function is a 
symmetric rank-2 tensor in type, and I would like a finite element function 
which is a vector of its eigenvalues. I haven't been able to find anything 
in the tutorials which do this (though maybe I'm skimming too much). 

My naive approach would be to (i) construct a dealii Function which 
evaluates some finite element vector (function?) at a given point and then 
(ii) use the Interpolation or Projection functions from the VectorTools 
namespace. However, I am not sure whether Interpolation or Projection would 
be a better idea. Further, I don't know how to evaluate a finite element 
function at an arbitrary point -- only at quadrature points via the 
FEValues class. Also I would be unsure how to build that into a Function 
class.

Let me know if there's a better way to do this -- it seems like something 
that's probably already implemented.

Thanks so much,
Lucas

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