I checked the Gauss points within my normal computation using FEValues and 
compared them with the evaluation points from the DataPostprocessor:

GAUSS POINT COORDINATES

  0.211325   0.211325 
  0.788675   0.211325 
  0.211325   0.788675 
  0.788675   0.788675

EVALUATION POINTS

  0.000000   0.000000 
  1.000000   0.000000 
  0.000000   1.000000 
  1.000000   1.000000

This means everything we do in DataPostprocessor is evaluated directly in 
the mapped Gauss points which is actually the reason why we use this 
postprocessor approach. We want to map the solution of quantities stored on 
the Gauss points to the physical nodes, so we can visualize them in a 
proper way.

I hope this is correct, because then I assume that both approaches are 
correct and just differ by a simple mapping procedure.

Kind regards,
S. A. Mohseni
 

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