Felix,

the usual approach for verifying your code is the method of manufactured 
solution. Choose functions that are elements of your ansatz space for all 
solution variables
(possibly chaningyour grid to a cartesian one) and compute the 
corresponding right-hand side. Check that the error vanishes.
If that works, choose smooth functions not part of your ansatz space and 
check the rate of convergence when refining your mesh.
You may also want to have a look at 
https://www.dealii.org/8.5.0/doxygen/deal.II/step_7.html for this.

Best,
Daniel

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