I put my non-smart solution here in case if there's no easy way of doing it 
in deal.II and someone else needs it.

// The vector I want to output is the solution for vector-valued problem. 
// I want to output the cell-average value for the 0th component.
Vector<double> modi (solu);
Quadrature<dim> qq(fe.get_unit_support_points());
FEValues<dim> fv(fe, qq, update_values | update_quadrature_points);
std::vector<bool> selected_dofs (dof_handler.n_dofs());

// comp[0] is the 0th component of std::vector<FEValuesExtractors::Scalar> 
for the system
DoFTools::extract_dofs(dof_handler, fe.component_mask(comp[0]), 
selected_dofs);
std::vector<types::global_dof_index> local_to_global_dof (fe.dofs_per_cell);


// modify the 0th component
for (typename DoFHandler<dim>::active_cell_iterator
       cell=dof_handler.begin_active(); cell!=dof_handler.end(); ++cell) {
    fv.reinit(cell);
    std::vector<double> local_sol(qq.size());
    fv[comp[0]].get_function_values(solu_out,local_sol);
    double avg = std::accumulate(local_sol.begin(), local_sol.end(), 0.) / 
local_sol.size();
    cell->get_dof_indices (local_to_global_dof);
    for (auto i=0; i<fe.dofs_per_cell; ++i) {
      if (selected_dofs[local_to_global_dof[i]]) {
        solu_out[local_to_global_dof[i]] = avg;
      }
    }
  }


If anyone has any smarter idea, please let me know and thanks in advance.
Weixiong

在 2018年3月27日星期二 UTC-7下午2:35:37,Weixiong Zheng写道:
>
> Hi
>
> I am trying to output an cell average solution for a code using DG 
> bilinear element in 2D. Is there a trivial way to project DG-1 to DG-0? Or 
> is there any function I can call to output the solution at some specfic 
> points, say the center point of the cell?
>
> Thanks
>

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