> since you are dealing with the union of two triangulations, you could
> iterate over the fine triangulation and identify the cells on the
> coarser triangulations, which cover the fine cell.

Yes. Alternatively, IntergridMap does that for you.


> Then you can build
> FEValues objects on both triangulations and evaluate the solution vector
> at the quadrature points and do some projection, which fits to your
> finite element.

Ha, how often does it happen that you get to put a plug in for your own 
diploma thesis :-) In any case, if you can read German, this has the algorithm 
that you are looking for on p. 48/49:
  http://www.math.tamu.edu/~bangerth/publications/1998-thesis.pdf

Thinking about it, step-28 also deals with these sorts of problems.

Best
 W.

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