diff --git a/tests/numerics/project_bv_curl_conf_04.cc b/tests/numerics/project_bv_curl_conf_04.cc
new file mode 100644
index 000000000000..0e19fbc6507e
--- /dev/null
+++ b/tests/numerics/project_bv_curl_conf_04.cc
@@ -0,0 +1,250 @@
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/fe/fe_system.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_nedelec.h>
+#include <deal.II/fe/mapping_q.h>
+#include <deal.II/fe/fe_values.h>
+#include <deal.II/lac/affine_constraints.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/numerics/vector_tools.h>
+using namespace dealii;
+
+const unsigned int dim=3;
+
+void apply_boundary_values(DoFHandler<dim>& dof_handler, AffineConstraints<double> & constraints, unsigned int n_comps, unsigned int start_comp, Mapping<dim> & mapping, Vector<double> &dst)
+{
+  constraints.clear();
+  for(unsigned int i = 0; i < 6; i++)
+  VectorTools::project_boundary_values_curl_conforming_l2(dof_handler, start_comp,
+							  Functions::ConstantFunction<dim>(1, n_comps), i, constraints, mapping);
+  constraints.close();
+  
+  constraints.distribute(dst);
+}
+
+bool test_boundary_values(DoFHandler<dim>& dof_handler, Mapping<dim> & mapping, FiniteElement<dim> & fe, unsigned int n_comps, unsigned int start_comp, Vector<double> &vec)
+{
+  double ret = true;
+  //Initialize
+  QGaussLobatto<dim-1> quadrature(3);
+  FEFaceValues<dim> fe_values(mapping, fe, quadrature,
+			      update_values | update_normal_vectors
+			      | update_quadrature_points | update_JxW_values);
+  typename DoFHandler<dim>::active_cell_iterator cell =
+    dof_handler.begin_active(), endc = dof_handler.end();
+  unsigned num_cells = 0;
+  std::vector<Vector<double> > local_averages(6,Vector<double>(dof_handler.n_dofs()));
+  const FEValuesExtractors::Vector nedelec(start_comp);
+
+  //For testing we take only one cell!
+  assert(dof_handler.n_dofs() == cell->get_fe().dofs_per_cell);
+  
+  for (; cell != endc; ++cell) {
+    //For testing we take only one cell! Otherwise, local to global is missing
+    assert(num_cells == 0);
+    for (unsigned int face = 0;
+             face < dealii::GeometryInfo<dim>::faces_per_cell; ++face) {
+      if (cell->face(face)->at_boundary())
+      {
+	unsigned int boundary_number = cell->face(face)->boundary_id();
+	Tensor<1,dim> expected_value;
+	expected_value[0] = 1;
+	expected_value[1] = 1;
+	expected_value[2] = 1;
+	assert(boundary_number < 6);
+	fe_values.reinit(cell,face);
+
+	std::vector<Vector<double> > local_values(fe_values.n_quadrature_points,Vector<double>(n_comps));
+	fe_values.get_function_values(vec,local_values);
+
+	for(unsigned int q_point = 0; q_point < fe_values.n_quadrature_points; q_point ++)
+	{
+	  //Compare n x v values
+	  Tensor<1,dim> nedelec_values;
+	  nedelec_values[0] = local_values[q_point](start_comp);
+	  nedelec_values[1] = local_values[q_point](start_comp+1);
+	  nedelec_values[2] = local_values[q_point](start_comp+2);
+	  Tensor<1,dim> normal = fe_values.normal_vector(q_point);
+	    
+	  for(unsigned int i = 0; i < cell->get_fe().dofs_per_cell; i++)
+	  {
+	    local_averages[boundary_number](i) += ((cross_product_3d(normal,nedelec_values)-cross_product_3d(normal,expected_value))*cross_product_3d(normal,fe_values[nedelec].value(i,q_point)))*fe_values.JxW(q_point);  
+	  }
+	}
+      }
+    }
+    num_cells++;
+  }
+  //Test if ok
+  for(unsigned int bc=0; bc < 6; bc++)
+  {
+    for(unsigned int basis=0; basis<dof_handler.n_dofs(); basis++)
+    {
+      if(fabs(local_averages[bc](basis)) > 1.e-10)
+      {
+	std::cout<<"Wrong values on boundary "<<bc<<" in basis function "<<basis<<" of size "<<fabs(local_averages[bc](basis))<<std::endl;
+	ret = false;
+      }
+    }
+  }
+  return ret;
+}
+
+int main(int /*argc*/, char **/*argv*/) {
+
+  Triangulation<dim> triangulation;
+  GridGenerator::hyper_cube(triangulation, 0, 1, true);
+  MappingQ<dim> mapping(1);
+  AffineConstraints< double > constraints;
+  Vector<double> test_vec;
+  Vector<double> test_vec2;
+  
+  {
+    //Test 1: Only FE_Nedelec
+    std::cout<<"Testing FE_Nedelec(0): ";
+    FE_Nedelec<dim> fe(0);
+    DoFHandler<dim> dof_handler(triangulation);
+    dof_handler.distribute_dofs(fe);
+    test_vec2.reinit(dof_handler.n_dofs());
+    apply_boundary_values(dof_handler,constraints,3,0,mapping,test_vec2);
+    if(test_boundary_values(dof_handler,mapping,fe,3,0,test_vec2))
+    {
+      std::cout<<"OK"<<std::endl;
+    }
+    else
+    {
+      std::cout<<"Failed"<<std::endl;
+      abort();
+    }
+  }
+  {
+    //Test 2: FESystem(FE_Nedelec(0))
+    std::cout<<"Testing FESystem(FE_Nedelec(0)): ";
+    FESystem<dim> fe_system(FE_Nedelec<dim>(0),1);
+    DoFHandler<dim> dof_handler(triangulation);
+    dof_handler.distribute_dofs(fe_system);
+    test_vec.reinit(dof_handler.n_dofs());
+    apply_boundary_values(dof_handler,constraints,3,0,mapping,test_vec);
+    if(test_boundary_values(dof_handler,mapping,fe_system,3,0,test_vec))
+    {
+      std::cout<<"OK"<<std::endl;
+    }
+    else
+    {
+      std::cout<<"Failed"<<std::endl;
+      abort();
+    }
+    //Now, in the case of only one element both initializations should give
+    //identical vectors
+    std::cout<<"Checking Consistency: ";
+    bool equal=(test_vec.size() == test_vec2.size());
+    if(equal)
+    {
+      for(unsigned int i = 0; i < test_vec.size(); i++)
+      {
+	equal = equal && (test_vec(i)==test_vec2(i));
+      }
+    }
+    if(equal)
+    {
+      std::cout<<"OK"<<std::endl;
+    }
+    else
+    {
+      std::cout<<"Failed"<<std::endl;
+      abort();
+    }
+  }
+  {
+    //Test 3: FESystem(FE_Nedelec(0), FE_Nedelec(0))
+    std::cout<<"Testing FESystem(FE_Nedelec(0), FE_Nedelec(0)): ";
+    FESystem<dim> fe_system(FE_Nedelec<dim>(0),1,FE_Nedelec<dim>(0),1);
+    DoFHandler<dim> dof_handler(triangulation);
+    dof_handler.distribute_dofs(fe_system);
+    test_vec.reinit(dof_handler.n_dofs());
+    apply_boundary_values(dof_handler,constraints,6,3,mapping,test_vec);
+    if(test_boundary_values(dof_handler,mapping,fe_system,6,3,test_vec))
+    {
+      std::cout<<"OK"<<std::endl;
+    }
+    else
+    {
+      std::cout<<"Failed"<<std::endl;
+      abort();
+    }
+  }
+  {
+    //Test 4: FESystem(FE_Nedelec(1), FE_Nedelec(0))
+    std::cout<<"Testing FESystem(FE_Nedelec(1), FE_Nedelec(0)): ";
+    FESystem<dim> fe_system(FE_Nedelec<dim>(1),1,FE_Nedelec<dim>(0),1);
+    DoFHandler<dim> dof_handler(triangulation);
+    dof_handler.distribute_dofs(fe_system);
+    test_vec.reinit(dof_handler.n_dofs());
+    apply_boundary_values(dof_handler,constraints,6,3,mapping,test_vec);
+    if(test_boundary_values(dof_handler,mapping,fe_system,6,3,test_vec))
+    {
+      std::cout<<"OK"<<std::endl;
+    }
+    else
+    {
+      std::cout<<"Failed"<<std::endl;
+      abort();
+    }
+  }
+  {
+    //Test 5: FESystem(FE_Nedelec(0), FE_Nedelec(1))
+    std::cout<<"Testing FESystem(FE_Nedelec(0), FE_Nedelec(1)): ";
+    FESystem<dim> fe_system(FE_Nedelec<dim>(0),1,FE_Nedelec<dim>(1),1);
+    DoFHandler<dim> dof_handler(triangulation);
+    dof_handler.distribute_dofs(fe_system);
+    test_vec.reinit(dof_handler.n_dofs());
+    apply_boundary_values(dof_handler,constraints,6,3,mapping,test_vec);
+    if(test_boundary_values(dof_handler,mapping,fe_system,6,3,test_vec))
+    {
+      std::cout<<"OK"<<std::endl;
+    }
+    else
+    {
+      std::cout<<"Failed"<<std::endl;
+      abort();
+    }
+  }
+  {
+    //Test 6: FESystem(FE_Nedelec(0), FE_Q(1))
+    std::cout<<"Testing FESystem(FE_Nedelec(0), FE_Q(1)): ";
+    FESystem<dim> fe_system(FE_Nedelec<dim>(0),1,FE_Q<dim>(1),1);
+    DoFHandler<dim> dof_handler(triangulation);
+    dof_handler.distribute_dofs(fe_system);
+    test_vec.reinit(dof_handler.n_dofs());
+    apply_boundary_values(dof_handler,constraints,4,0,mapping,test_vec);
+    if(test_boundary_values(dof_handler,mapping,fe_system,4,0,test_vec))
+    {
+      std::cout<<"OK"<<std::endl;
+    }
+    else
+    {
+      std::cout<<"Failed"<<std::endl;
+      abort();
+    }
+  }
+  {
+    //Test 7: FESystem(FE_Q(1), FE_Nedelec(0))
+    std::cout<<"Testing FESystem(FE_Q(1), FE_Nedelec(0)): ";
+    FESystem<dim> fe_system(FE_Q<dim>(1),1,FE_Nedelec<dim>(0),1);
+    DoFHandler<dim> dof_handler(triangulation);
+    dof_handler.distribute_dofs(fe_system);
+    test_vec.reinit(dof_handler.n_dofs());
+    apply_boundary_values(dof_handler,constraints,4,1,mapping,test_vec);
+    if(test_boundary_values(dof_handler,mapping,fe_system,4,1,test_vec))
+    {
+      std::cout<<"OK"<<std::endl;
+    }
+    else
+    {
+      std::cout<<"Failed"<<std::endl;
+      abort();
+    }
+  }
+  
+  return 0;
+}
diff --git a/tests/numerics/project_bv_curl_conf_04.output b/tests/numerics/project_bv_curl_conf_04.output
new file mode 100644
index 000000000000..e69de29bb2d1