I am not sure if this is the correct place to post this thread. 

But you can make an initial guess by writing something like the following :

guess = "sin(x[0])"
u = interpolate(Expression(guess),V) 

I am not sure about your other questions (as I am still learning the ropes).

Try posting your question at :

http://fenicsproject.org/pipermail/fenics/

Here is the email : [email protected]
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