I assign such a boundary condition at points by giving boundary values
to std::map<unsigned int,double> boundary_values directly, and it looks
working well.

Yes, this is the correct approach.


However, for handling conflict between hanging node and
boundary condition with ConstraintMatrix, just doing something like:

typenameDoFHandler<dim>::active_cell_iterator cell = dof_handler.begin_active(),

                                                         endc =
dof_handler.end();

for(; cell!=endc; ++cell)

{

    for(unsignedintvert = 0; vert < GeometryInfo<dim>::vertices_per_cell; 
vert++)

    {

         if("certain condition")

         {

             constraints_update.add_line(cell2->vertex_dof_index(vert,I));

         }

    }

}


(Here constraints_update is an object of ConstraintMatrix).

 does not seem working because the solver eventually gives the error:
[...]

Well, that means that your matrix is probably not invertible (although the residual does get pretty small -- are you sure you don't just need more iterations?). This *may* be because of your constraints, but it may also be because of any number of other reasons. Have you tried this on a small problem, say a 2x2 or 3x3 mesh, to make sure it really is because of the constraints? For small problems, you can often figure out on a piece of paper what the matrix should be, and compare with what you get from your program.

Best
 W.

--
------------------------------------------------------------------------
Wolfgang Bangerth          email:                 bange...@colostate.edu
                           www: http://www.math.colostate.edu/~bangerth/

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