Hello all,
I am trying to solve an nonlinear laplace problem with only dirichlet 
boundaries using dealii with distributed triangulation. I do have a 
solution vector locally_owned_sol and a newton_update. At the Dirichlet 
boundaries, I want to restrict the newton update to be zero and the boundary 
values will be taken in the locally_owned_sol. How can one achieved this in 
dealii. The first step is easy using the 
VectorTools::interpolate_boundary_values.  I am worried about the second 
step how to construct it as well as initalize the newton_update with 
non_zero values at the Dirichlet boundaries. 

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