Hello, 

I am solving a non-linear equation with DG. 
As per step 15, we set the boundary values initially using the following 
function: 

template <int dim>
void MinimalSurfaceProblem<dim>::set_boundary_values()
{
  std::map<types::global_dof_index, double> boundary_values;
  VectorTools::interpolate_boundary_values 
<https://www.dealii.org/current/doxygen/deal.II/namespaceVectorTools.html#ab2562d41bb26f362043f9719a8cd9b87>
(dof_handler, 0, BoundaryValues<dim(), boundary_values);

   for (auto &boundary_value : boundary_values)
       current_solution(boundary_value.first) = boundary_value.second;

    hanging_node_constraints.distribute(current_solution);
}

Something like this doesn't work with DG.
Loosely speaking, my initial approach would be to solve a system with just 
the BC terms but I am not sure. Do I have other options?  


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