>
> [...]
> 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.
>
Actually, the solution vector stores the coefficients for the ansatz 
functions. Both FEValues and DataPostprocessor (using FEValues) evaluate 
the ansatz functions in given points and compute the values at the required 
points as a linear combination. Hence, there is no mapping from the Gauss 
points to the physical nodes involved. We simply evaluate at different 
points (Gauss quadrature points for the FEValues object you use and patch 
vertices in DataPostprocessor).
 

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

Best,
Daniel

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