DataOut<dim> data_out;
DataOutBase::VtkFlags flags;
flags.write_higher_order_cells = true;
data_out.set_flags(flags);
data_out.attach_dof_handler(dof_handler);
data_out.add_data_vector(solution, "sol");
Vector<float> subdomain(triangulation.n_active_cells());
for (unsigned int i = 0; i < subdomain.size(); ++i)
subdomain(i) = triangulation.locally_owned_subdomain();
data_out.add_data_vector(subdomain, "subdomain");
data_out.build_patches();
data_out.write_vtu_with_pvtu_record("./", "solution", 1, mpi_communicator, 2, 8);