I'm trying to replicate the simulation described in this paper 
<https://wias-berlin.de/people/john/ELECTRONIC_PAPERS/Joh04.IJNMF.pdf>. How 
could I compute the integrals in equations 4 and 5? I'm sure it's covered 
in the tutorial, but I couldn't find it after searching in several 
different steps in the tutorial. Could someone please point me to an 
example in the tutorials where this type of computation with a computed 
solution? The only examples I could find seem to only discuss computing L2, 
or H1 errors with a special function that avoid manually computing the 
integral. Is the easiest thing to do as is done in the matrix assembly?

Finally, how would one initialize the vectors v_l and v_d? Could it be done 
easily with an appropriate AffineConstraints object?

Thanks in advance to anyone who can help.

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