From: bangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Date: Mon, 22 Jul 2013 02:58:54 +0000 (+0000)
Subject: Implement VectorTools::project also for hp::DoFHandler. This required refactoring... 
X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=4b1eb3371def09846fec54ff7d3c9b826b413af0;p=dealii-svn.git

Implement VectorTools::project also for hp::DoFHandler. This required refactoring a whole bunch of other functions as well, as well as a good number of additional instantiations.

git-svn-id: https://svn.dealii.org/trunk@30086 0785d39b-7218-0410-832d-ea1e28bc413d
---

diff --git a/deal.II/doc/news/changes.h b/deal.II/doc/news/changes.h
index a47b3af016..709c493e2d 100644
--- a/deal.II/doc/news/changes.h
+++ b/deal.II/doc/news/changes.h
@@ -164,6 +164,12 @@ this function.
 
 <ol>
 
+<li>New: VectorTools::project and a whole host of similar functions
+are now also available for objects of type hp::DoFHandler.
+<br>
+(Wolfgang Bangerth, 2013/07/21)
+</li>
+
 <li>Fixed: hp::DoFHandler::n_boundary_dofs() had a bug that always led
 to a failed assertion. This is now fixed.
 <br>
diff --git a/deal.II/include/deal.II/numerics/vector_tools.h b/deal.II/include/deal.II/numerics/vector_tools.h
index 5999b2cf19..96fd9a1b7c 100644
--- a/deal.II/include/deal.II/numerics/vector_tools.h
+++ b/deal.II/include/deal.II/numerics/vector_tools.h
@@ -658,7 +658,7 @@ namespace VectorTools
 
   /**
    * Calls the project()
-   * function, see above, with
+   * function above, with
    * <tt>mapping=MappingQ1@<dim@>()</tt>.
    */
   template <int dim, class VECTOR, int spacedim>
@@ -673,6 +673,40 @@ namespace VectorTools
                                                         Quadrature<dim-1>(0)),
                 const bool                project_to_boundary_first = false);
 
+  /**
+   * Same as above, but for arguments of type hp::DoFHandler,
+   * hp::QuadratureCollection, hp::MappingCollection
+   */
+  template <int dim, class VECTOR, int spacedim>
+  void project (const hp::MappingCollection<dim, spacedim>       &mapping,
+                const hp::DoFHandler<dim,spacedim>    &dof,
+                const ConstraintMatrix   &constraints,
+                const hp::QCollection<dim>    &quadrature,
+                const Function<spacedim>      &function,
+                VECTOR                   &vec,
+                const bool                enforce_zero_boundary = false,
+                const hp::QCollection<dim-1>  &q_boundary = hp::QCollection<dim-1>(dim > 1 ?
+                                                        QGauss<dim-1>(2) :
+                                                        Quadrature<dim-1>(0)),
+                const bool                project_to_boundary_first = false);
+
+  /**
+   * Calls the project()
+   * function above, with a collection of
+   * MappingQ1@<dim@>() objects.
+   */
+  template <int dim, class VECTOR, int spacedim>
+  void project (const hp::DoFHandler<dim,spacedim>    &dof,
+                const ConstraintMatrix   &constraints,
+                const hp::QCollection<dim>    &quadrature,
+                const Function<spacedim>      &function,
+                VECTOR                   &vec,
+                const bool                enforce_zero_boundary = false,
+                const hp::QCollection<dim-1>  &q_boundary = hp::QCollection<dim-1>(dim > 1 ?
+                                                        QGauss<dim-1>(2) :
+                                                        Quadrature<dim-1>(0)),
+                const bool                project_to_boundary_first = false);
+
   /**
    * Compute Dirichlet boundary
    * conditions.  This function makes up a map
@@ -766,6 +800,18 @@ namespace VectorTools
                                std::map<types::global_dof_index,double> &boundary_values,
                                const ComponentMask       &component_mask = ComponentMask());
 
+  /**
+   * Like the previous function, but take a mapping collection to go with
+   * the hp::DoFHandler object.
+   */
+  template <int dim, int spacedim>
+  void
+  interpolate_boundary_values (const hp::MappingCollection<dim,spacedim>            &mapping,
+                               const hp::DoFHandler<dim,spacedim>                 &dof,
+                               const typename FunctionMap<spacedim>::type &function_map,
+                               std::map<types::global_dof_index,double> &boundary_values,
+                               const ComponentMask       &component_mask = ComponentMask());
+
   /**
    * Same function as above, but
    * taking only one pair of
@@ -1053,6 +1099,29 @@ namespace VectorTools
                                 std::map<types::global_dof_index,double> &boundary_values,
                                 std::vector<unsigned int> component_mapping = std::vector<unsigned int>());
 
+  /**
+   * Same as above, but for objects of type hp::DoFHandler
+   */
+  template <int dim, int spacedim>
+  void project_boundary_values (const hp::MappingCollection<dim, spacedim>       &mapping,
+                                const hp::DoFHandler<dim,spacedim>    &dof,
+                                const typename FunctionMap<spacedim>::type &boundary_functions,
+                                const hp::QCollection<dim-1>  &q,
+                                std::map<types::global_dof_index,double> &boundary_values,
+                                std::vector<unsigned int> component_mapping = std::vector<unsigned int>());
+
+  /**
+   * Calls the project_boundary_values()
+   * function, see above, with
+   * <tt>mapping=MappingQ1@<dim@>()</tt>.
+   */
+  template <int dim, int spacedim>
+  void project_boundary_values (const hp::DoFHandler<dim,spacedim>    &dof,
+                                const typename FunctionMap<spacedim>::type &boundary_function,
+                                const hp::QCollection<dim-1>  &q,
+                                std::map<types::global_dof_index,double> &boundary_values,
+                                std::vector<unsigned int> component_mapping = std::vector<unsigned int>());
+
   /**
    * Project a function to the boundary of
    * the domain, using the given quadrature
diff --git a/deal.II/include/deal.II/numerics/vector_tools.templates.h b/deal.II/include/deal.II/numerics/vector_tools.templates.h
index 44e561fc95..4e8c2163be 100644
--- a/deal.II/include/deal.II/numerics/vector_tools.templates.h
+++ b/deal.II/include/deal.II/numerics/vector_tools.templates.h
@@ -334,57 +334,18 @@ namespace VectorTools
 
   namespace internal
   {
+    /**
+     * Interpolate zero boundary values. We don't need to worry about a mapping
+     * here because the function we evaluate for the DoFs is zero in the mapped
+     * locations as well as in the original, unmapped locations
+     */
+    template <class DH>
     void
-    interpolate_zero_boundary_values (const dealii::DoFHandler<1>   &dof_handler,
-                                      std::map<types::global_dof_index,double> &boundary_values)
-    {
-      // we only need to find the
-      // left-most and right-most
-      // vertex and query its vertex
-      // dof indices. that's easy :-)
-      for (unsigned int direction=0; direction<2; ++direction)
-        {
-          dealii::DoFHandler<1>::cell_iterator
-          cell = dof_handler.begin(0);
-          while (!cell->at_boundary(direction))
-            cell = cell->neighbor(direction);
-
-          for (unsigned int i=0; i<dof_handler.get_fe().dofs_per_vertex; ++i)
-            boundary_values[cell->vertex_dof_index (direction, i)] = 0.;
-        }
-    }
-
-
-
-    // codimension 1
-    void
-    interpolate_zero_boundary_values (const dealii::DoFHandler<1,2> &dof_handler,
-                                      std::map<types::global_dof_index,double> &boundary_values)
-    {
-      // we only need to find the
-      // left-most and right-most
-      // vertex and query its vertex
-      // dof indices. that's easy :-)
-      for (unsigned int direction=0; direction<2; ++direction)
-        {
-          dealii::DoFHandler<1,2>::cell_iterator
-          cell = dof_handler.begin(0);
-          while (!cell->at_boundary(direction))
-            cell = cell->neighbor(direction);
-
-          for (unsigned int i=0; i<dof_handler.get_fe().dofs_per_vertex; ++i)
-            boundary_values[cell->vertex_dof_index (direction, i)] = 0.;
-        }
-    }
-
-
-
-    template <int dim, int spacedim>
-    void
-    interpolate_zero_boundary_values (const dealii::DoFHandler<dim,spacedim>       &dof_handler,
+    interpolate_zero_boundary_values (const DH                                 &dof_handler,
                                       std::map<types::global_dof_index,double> &boundary_values)
     {
-      const FiniteElement<dim,spacedim> &fe = dof_handler.get_fe();
+      const unsigned int dim      = DH::dimension;
+      const unsigned int spacedim = DH::space_dimension;
 
       // loop over all boundary faces
       // to get all dof indices of
@@ -407,16 +368,18 @@ namespace VectorTools
       // that is actually wholly on
       // the boundary, not only by
       // one line or one vertex
-      typename dealii::DoFHandler<dim,spacedim>::active_cell_iterator
+      typename DH::active_cell_iterator
       cell = dof_handler.begin_active(),
       endc = dof_handler.end();
-      std::vector<types::global_dof_index> face_dof_indices (fe.dofs_per_face);
+      std::vector<types::global_dof_index> face_dof_indices;
       for (; cell!=endc; ++cell)
         for (unsigned int f=0; f<GeometryInfo<dim>::faces_per_cell; ++f)
           if (cell->at_boundary(f))
             {
-              cell->face(f)->get_dof_indices (face_dof_indices);
-              for (unsigned int i=0; i<fe.dofs_per_face; ++i)
+              face_dof_indices.resize (cell->get_fe().dofs_per_face);
+              cell->face(f)->get_dof_indices (face_dof_indices,
+                                              cell->active_fe_index());
+              for (unsigned int i=0; i<cell->get_fe().dofs_per_face; ++i)
                 // enter zero boundary values
                 // for all boundary nodes
                 //
@@ -541,14 +504,17 @@ namespace VectorTools
     /**
      * Compute the boundary values to be used in the project() functions.
      */
-    template <int dim, int spacedim>
-    void project_compute_b_v (const Mapping<dim, spacedim>   &mapping,
-                              const DoFHandler<dim,spacedim> &dof,
-                              const Function<spacedim> &function,
-                              const bool                enforce_zero_boundary,
-                              const Quadrature<dim-1>  &q_boundary,
-                              const bool                project_to_boundary_first,
-                              std::map<types::global_dof_index,double> &boundary_values)
+    template <int dim, int spacedim,
+              template <int,int> class DH,
+              template <int,int> class M_or_MC,
+              template <int> class Q_or_QC>
+    void project_compute_b_v (const M_or_MC<dim, spacedim>   &mapping,
+                  const DH<dim,spacedim> &dof,
+                  const Function<spacedim> &function,
+                  const bool                enforce_zero_boundary,
+                  const Q_or_QC<dim-1>  &q_boundary,
+                  const bool                project_to_boundary_first,
+                  std::map<types::global_dof_index,double> &boundary_values)
     {
       if (enforce_zero_boundary == true)
         // no need to project boundary
@@ -596,6 +562,101 @@ namespace VectorTools
 
       return true;
     }
+
+
+    /**
+     * Generic implementation of the project() function
+     */
+    template <int dim, int spacedim,
+              class Vector,
+              template <int,int> class DH,
+              template <int,int> class M_or_MC,
+              template <int> class Q_or_QC>
+    void do_project (const M_or_MC<dim, spacedim>   &mapping,
+                  const DH<dim,spacedim> &dof,
+                  const ConstraintMatrix   &constraints,
+                  const Q_or_QC<dim>       &quadrature,
+                  const Function<spacedim> &function,
+                  Vector                   &vec_result,
+                  const bool                enforce_zero_boundary,
+                  const Q_or_QC<dim-1>  &q_boundary,
+                  const bool                project_to_boundary_first)
+    {
+      Assert (dof.get_fe().n_components() == function.n_components,
+              ExcDimensionMismatch(dof.get_fe().n_components(),
+                                   function.n_components));
+      Assert (vec_result.size() == dof.n_dofs(),
+              ExcDimensionMismatch (vec_result.size(), dof.n_dofs()));
+
+      // make up boundary values
+      std::map<types::global_dof_index,double> boundary_values;
+      project_compute_b_v(mapping, dof, function, enforce_zero_boundary,
+                          q_boundary, project_to_boundary_first, boundary_values);
+
+      // check if constraints are compatible (see below)
+      const bool constraints_are_compatible =
+        constraints_and_b_v_are_compatible(constraints, boundary_values);
+
+      // set up mass matrix and right hand side
+      dealii::Vector<double> vec (dof.n_dofs());
+      SparsityPattern sparsity;
+      {
+        CompressedSimpleSparsityPattern csp (dof.n_dofs(), dof.n_dofs());
+        DoFTools::make_sparsity_pattern (dof, csp, constraints,
+                                         !constraints_are_compatible);
+
+        sparsity.copy_from (csp);
+      }
+      SparseMatrix<double> mass_matrix (sparsity);
+      dealii::Vector<double> tmp (mass_matrix.n());
+
+      // If the constraint matrix does not conflict with the given boundary
+      // values (i.e., it either does not contain boundary values or it contains
+      // the same as boundary_values), we can let it call
+      // distribute_local_to_global straight away, otherwise we need to first
+      // interpolate the boundary values and then condense the matrix and vector
+      if (constraints_are_compatible)
+        {
+          const Function<spacedim> *dummy = 0;
+          MatrixCreator::create_mass_matrix (mapping, dof, quadrature,
+                                             mass_matrix, function, tmp,
+                                             dummy, constraints);
+          if (boundary_values.size() > 0)
+            MatrixTools::apply_boundary_values (boundary_values,
+                                                mass_matrix, vec, tmp,
+                                                true);
+        }
+      else
+        {
+          // create mass matrix and rhs at once, which is faster.
+          MatrixCreator::create_mass_matrix (mapping, dof, quadrature,
+                                             mass_matrix, function, tmp);
+          MatrixTools::apply_boundary_values (boundary_values,
+                                              mass_matrix, vec, tmp,
+                                              true);
+          constraints.condense(mass_matrix, tmp);
+        }
+
+      // Allow for a maximum of 5*n steps to reduce the residual by 10^-12. n
+      // steps may not be sufficient, since roundoff errors may accumulate for
+      // badly conditioned matrices
+      ReductionControl      control(5*tmp.size(), 0., 1e-12, false, false);
+      GrowingVectorMemory<> memory;
+      SolverCG<>            cg(control,memory);
+
+      PreconditionSSOR<> prec;
+      prec.initialize(mass_matrix, 1.2);
+
+      cg.solve (mass_matrix, vec, tmp, prec);
+
+      constraints.distribute (vec);
+
+      // copy vec into vec_result. we can't use vec_result itself above, since
+      // it may be of another type than Vector<double> and that wouldn't
+      // necessarily go together with the matrix and other functions
+      for (unsigned int i=0; i<vec.size(); ++i)
+        vec_result(i) = vec(i);
+    }
   }
 
 
@@ -610,81 +671,10 @@ namespace VectorTools
                 const Quadrature<dim-1>  &q_boundary,
                 const bool                project_to_boundary_first)
   {
-    Assert (dof.get_fe().n_components() == function.n_components,
-            ExcDimensionMismatch(dof.get_fe().n_components(),
-                                 function.n_components));
-
-    Assert (vec_result.size() == dof.n_dofs(),
-            ExcDimensionMismatch (vec_result.size(), dof.n_dofs()));
-
-    // make up boundary values
-    std::map<types::global_dof_index,double> boundary_values;
-    project_compute_b_v(mapping, dof, function, enforce_zero_boundary,
-                        q_boundary, project_to_boundary_first, boundary_values);
-
-    // check if constraints are compatible (see below)
-    const bool constraints_are_compatible =
-      constraints_and_b_v_are_compatible(constraints, boundary_values);
-
-    // set up mass matrix and right hand side
-    Vector<double> vec (dof.n_dofs());
-    SparsityPattern sparsity;
-    {
-      CompressedSimpleSparsityPattern csp (dof.n_dofs(), dof.n_dofs());
-      DoFTools::make_sparsity_pattern (dof, csp, constraints,
-                                       !constraints_are_compatible);
-
-      sparsity.copy_from (csp);
-    }
-    SparseMatrix<double> mass_matrix (sparsity);
-    Vector<double> tmp (mass_matrix.n());
-
-    // If the constraint matrix does not conflict with the given boundary
-    // values (i.e., it either does not contain boundary values or it contains
-    // the same as boundary_values), we can let it call
-    // distribute_local_to_global straight away, otherwise we need to first
-    // interpolate the boundary values and then condense the matrix and vector
-    if (constraints_are_compatible)
-      {
-        const Function<spacedim> *dummy = 0;
-        MatrixCreator::create_mass_matrix (mapping, dof, quadrature,
-                                           mass_matrix, function, tmp,
-                                           dummy, constraints);
-        if (boundary_values.size() > 0)
-          MatrixTools::apply_boundary_values (boundary_values,
-                                              mass_matrix, vec, tmp,
-                                              true);
-      }
-    else
-      {
-        // create mass matrix and rhs at once, which is faster.
-        MatrixCreator::create_mass_matrix (mapping, dof, quadrature,
-                                           mass_matrix, function, tmp);
-        MatrixTools::apply_boundary_values (boundary_values,
-                                            mass_matrix, vec, tmp,
-                                            true);
-        constraints.condense(mass_matrix, tmp);
-      }
-
-    // Allow for a maximum of 5*n steps to reduce the residual by 10^-12. n
-    // steps may not be sufficient, since roundoff errors may accumulate for
-    // badly conditioned matrices
-    ReductionControl      control(5*tmp.size(), 0., 1e-12, false, false);
-    GrowingVectorMemory<> memory;
-    SolverCG<>            cg(control,memory);
-
-    PreconditionSSOR<> prec;
-    prec.initialize(mass_matrix, 1.2);
-
-    cg.solve (mass_matrix, vec, tmp, prec);
-
-    constraints.distribute (vec);
-
-    // copy vec into vec_result. we can't use vec_result itself above, since
-    // it may be of another type than Vector<double> and that wouldn't
-    // necessarily go together with the matrix and other functions
-    for (unsigned int i=0; i<vec.size(); ++i)
-      vec_result(i) = vec(i);
+    do_project (mapping, dof, constraints, quadrature,
+        function, vec_result,
+        enforce_zero_boundary, q_boundary,
+        project_to_boundary_first);
   }
 
 
@@ -704,6 +694,39 @@ namespace VectorTools
 
 
 
+  template <int dim, class VECTOR, int spacedim>
+  void project (const hp::MappingCollection<dim, spacedim>   &mapping,
+                const hp::DoFHandler<dim,spacedim> &dof,
+                const ConstraintMatrix   &constraints,
+                const hp::QCollection<dim>    &quadrature,
+                const Function<spacedim> &function,
+                VECTOR                   &vec_result,
+                const bool                enforce_zero_boundary,
+                const hp::QCollection<dim-1>  &q_boundary,
+                const bool                project_to_boundary_first)
+  {
+    do_project (mapping, dof, constraints, quadrature,
+        function, vec_result,
+        enforce_zero_boundary, q_boundary,
+        project_to_boundary_first);
+  }
+
+
+  template <int dim, class VECTOR, int spacedim>
+  void project (const hp::DoFHandler<dim,spacedim> &dof,
+                const ConstraintMatrix   &constraints,
+                const hp::QCollection<dim>    &quadrature,
+                const Function<spacedim> &function,
+                VECTOR                   &vec,
+                const bool                enforce_zero_boundary,
+                const hp::QCollection<dim-1>  &q_boundary,
+                const bool                project_to_boundary_first)
+  {
+    project(hp::StaticMappingQ1<dim,spacedim>::mapping_collection,
+            dof, constraints, quadrature, function, vec,
+            enforce_zero_boundary, q_boundary, project_to_boundary_first);
+  }
+
 
   template <int dim, int spacedim>
   void create_right_hand_side (const Mapping<dim, spacedim>    &mapping,
@@ -1507,7 +1530,7 @@ namespace VectorTools
 
 // ----------- interpolate_boundary_values for std::map --------------------
 
-  namespace internal
+  namespace
   {
     // interpolate boundary values in
     // 1d. in higher dimensions, we
@@ -1516,9 +1539,10 @@ namespace VectorTools
     // faces are points and it is far
     // easier to simply work on
     // individual vertices
-    template <class DH>
+    template <class DH,
+              template <int,int> class M_or_MC>
     static inline
-    void interpolate_boundary_values (const Mapping<DH::dimension, DH::space_dimension> &,
+    void do_interpolate_boundary_values (const M_or_MC<DH::dimension, DH::space_dimension> &,
                                       const DH                 &dof,
                                       const typename FunctionMap<DH::space_dimension>::type &function_map,
                                       std::map<types::global_dof_index,double> &boundary_values,
@@ -1594,10 +1618,11 @@ namespace VectorTools
 
 
 
-    template <class DH>
+    template <class DH,
+              template <int,int> class M_or_MC>
     static inline
     void
-    interpolate_boundary_values (const Mapping<DH::dimension, DH::space_dimension> &mapping,
+    do_interpolate_boundary_values (const M_or_MC<DH::dimension, DH::space_dimension> &mapping,
                                  const DH                 &dof,
                                  const typename FunctionMap<DH::space_dimension>::type &function_map,
                                  std::map<types::global_dof_index,double> &boundary_values,
@@ -1948,8 +1973,7 @@ namespace VectorTools
                                std::map<types::global_dof_index,double> &boundary_values,
                                const ComponentMask       &component_mask_)
   {
-    internal::
-    interpolate_boundary_values (mapping, dof, function_map, boundary_values,
+    do_interpolate_boundary_values (mapping, dof, function_map, boundary_values,
                                  component_mask_,
                                  dealii::internal::int2type<DH::dimension>());
   }
@@ -1972,6 +1996,20 @@ namespace VectorTools
   }
 
 
+  template <int dim, int spacedim>
+  void
+  interpolate_boundary_values (const hp::MappingCollection<dim,spacedim>            &mapping,
+                               const hp::DoFHandler<dim,spacedim>                 &dof,
+                               const typename FunctionMap<spacedim>::type &function_map,
+                               std::map<types::global_dof_index,double> &boundary_values,
+                               const ComponentMask       &component_mask_)
+  {
+    do_interpolate_boundary_values (mapping, dof, function_map, boundary_values,
+                                 component_mask_,
+                                 dealii::internal::int2type<dim>());
+  }
+
+
 
   template <class DH>
   void
@@ -2088,211 +2126,201 @@ namespace VectorTools
 
 // -------- implementation for project_boundary_values with std::map --------
 
-// separate implementations for 1D because otherwise we get linking errors
-// because create_boundary_mass_matrix is not compiled for 1D
-  template <>
-  void
-  project_boundary_values (const Mapping<1,1>         &mapping,
-                           const DoFHandler<1,1>      &dof,
-                           const FunctionMap<1>::type &boundary_functions,
-                           const Quadrature<0> &,
-                           std::map<types::global_dof_index,double> &boundary_values,
-                           std::vector<unsigned int>   component_mapping)
-  {
-    Assert (component_mapping.size() == 0, ExcNotImplemented());
-    // projection in 1d is equivalent
-    // to interpolation
-    interpolate_boundary_values (mapping, dof, boundary_functions,
-                                 boundary_values, ComponentMask());
-  }
-
-
 
-  template <>
-  void
-  project_boundary_values (const Mapping<1,2>         &mapping,
-                           const DoFHandler<1,2>      &dof,
-                           const FunctionMap<2>::type &boundary_functions,
-                           const Quadrature<0> &,
-                           std::map<types::global_dof_index,double> &boundary_values,
-                           std::vector<unsigned int>   component_mapping)
+  namespace
   {
-    Assert (component_mapping.size() == 0, ExcNotImplemented());
-    // projection in 1d is equivalent
-    // to interpolation
-    interpolate_boundary_values (mapping, dof, boundary_functions,
-                                 boundary_values, ComponentMask());
-  }
+    template <int dim, int spacedim,
+              template <int,int> class DH,
+              template <int,int> class M_or_MC,
+              template <int> class Q_or_QC>
+    void
+    do_project_boundary_values (const M_or_MC<dim, spacedim>   &mapping,
+                             const DH<dim, spacedim> &dof,
+                             const typename FunctionMap<spacedim>::type &boundary_functions,
+                             const Q_or_QC<dim-1>        &q,
+                             std::map<types::global_dof_index,double>  &boundary_values,
+                             std::vector<unsigned int>       component_mapping)
+    {
+      // in 1d, projection onto the 0d end points == interpolation
+      if (dim == 1)
+        {
+          Assert (component_mapping.size() == 0, ExcNotImplemented());
+          interpolate_boundary_values (mapping, dof, boundary_functions,
+                                       boundary_values, ComponentMask());
+          return;
+        }
 
+  //TODO:[?] In project_boundary_values, no condensation of sparsity
+  //    structures, matrices and right hand sides or distribution of
+  //    solution vectors is performed. This is ok for dim<3 because then
+  //    there are no constrained nodes on the boundary, but is not
+  //    acceptable for higher dimensions. Fix this.
 
+      if (component_mapping.size() == 0)
+        {
+          AssertDimension (dof.get_fe().n_components(), boundary_functions.begin()->second->n_components);
+          // I still do not see why i
+          // should create another copy
+          // here
+          component_mapping.resize(dof.get_fe().n_components());
+          for (unsigned int i= 0 ; i < component_mapping.size() ; ++i)
+            component_mapping[i] = i;
+        }
+      else
+        AssertDimension (dof.get_fe().n_components(), component_mapping.size());
 
+      std::vector<types::global_dof_index> dof_to_boundary_mapping;
+      std::set<types::boundary_id> selected_boundary_components;
+      for (typename FunctionMap<spacedim>::type::const_iterator i=boundary_functions.begin();
+           i!=boundary_functions.end(); ++i)
+        selected_boundary_components.insert (i->first);
 
-  template <int dim, int spacedim>
-  void
-  project_boundary_values (const Mapping<dim, spacedim>   &mapping,
-                           const DoFHandler<dim, spacedim> &dof,
-                           const typename FunctionMap<spacedim>::type &boundary_functions,
-                           const Quadrature<dim-1>        &q,
-                           std::map<types::global_dof_index,double>  &boundary_values,
-                           std::vector<unsigned int>       component_mapping)
-  {
-//TODO:[?] In project_boundary_values, no condensation of sparsity
-//    structures, matrices and right hand sides or distribution of
-//    solution vectors is performed. This is ok for dim<3 because then
-//    there are no constrained nodes on the boundary, but is not
-//    acceptable for higher dimensions. Fix this.
+      DoFTools::map_dof_to_boundary_indices (dof, selected_boundary_components,
+                                             dof_to_boundary_mapping);
 
-    if (component_mapping.size() == 0)
-      {
-        AssertDimension (dof.get_fe().n_components(), boundary_functions.begin()->second->n_components);
-        // I still do not see why i
-        // should create another copy
-        // here
-        component_mapping.resize(dof.get_fe().n_components());
-        for (unsigned int i= 0 ; i < component_mapping.size() ; ++i)
-          component_mapping[i] = i;
-      }
-    else
-      AssertDimension (dof.get_fe().n_components(), component_mapping.size());
-
-    std::vector<types::global_dof_index> dof_to_boundary_mapping;
-    std::set<types::boundary_id> selected_boundary_components;
-    for (typename FunctionMap<spacedim>::type::const_iterator i=boundary_functions.begin();
-         i!=boundary_functions.end(); ++i)
-      selected_boundary_components.insert (i->first);
-
-    DoFTools::map_dof_to_boundary_indices (dof, selected_boundary_components,
-                                           dof_to_boundary_mapping);
-
-    // Done if no degrees of freedom on the boundary
-    if (dof.n_boundary_dofs (boundary_functions) == 0)
-      return;
-
-    // set up sparsity structure
-    CompressedSparsityPattern c_sparsity(dof.n_boundary_dofs (boundary_functions),
-                                         dof.n_boundary_dofs (boundary_functions));
-    DoFTools::make_boundary_sparsity_pattern (dof,
-                                              boundary_functions,
-                                              dof_to_boundary_mapping,
-                                              c_sparsity);
-    SparsityPattern sparsity;
-    sparsity.copy_from(c_sparsity);
-
-
-
-    // note: for three or more dimensions, there
-    // may be constrained nodes on the boundary
-    // in this case the boundary mass matrix has
-    // to be condensed and the solution is to
-    // be distributed afterwards, which is not
-    // yet implemented. The reason for this is
-    // that we cannot simply use the condense
-    // family of functions, since the matrices
-    // and vectors do not use the global
-    // numbering but rather the boundary
-    // numbering, i.e. the condense function
-    // needs to use another indirection. There
-    // should be not many technical problems,
-    // but it needs to be implemented
-    if (dim>=3)
-      {
-#ifdef DEBUG
-// Assert that there are no hanging nodes at the boundary
-        int level = -1;
-        for (typename DoFHandler<dim,spacedim>::active_cell_iterator cell = dof.begin_active();
-             cell != dof.end(); ++cell)
-          for (unsigned int f=0; f<GeometryInfo<dim>::faces_per_cell; ++f)
-            {
-              if (cell->at_boundary(f))
-                {
-                  if (level == -1)
-                    level = cell->level();
-                  else
-                    {
-                      Assert (level == cell->level(), ExcNotImplemented());
-                    }
-                }
-            }
-#endif
-      }
-    sparsity.compress();
+      // Done if no degrees of freedom on the boundary
+      if (dof.n_boundary_dofs (boundary_functions) == 0)
+        return;
+
+      // set up sparsity structure
+      CompressedSparsityPattern c_sparsity(dof.n_boundary_dofs (boundary_functions),
+                                           dof.n_boundary_dofs (boundary_functions));
+      DoFTools::make_boundary_sparsity_pattern (dof,
+                                                boundary_functions,
+                                                dof_to_boundary_mapping,
+                                                c_sparsity);
+      SparsityPattern sparsity;
+      sparsity.copy_from(c_sparsity);
+
+
+
+      // note: for three or more dimensions, there
+      // may be constrained nodes on the boundary
+      // in this case the boundary mass matrix has
+      // to be condensed and the solution is to
+      // be distributed afterwards, which is not
+      // yet implemented. The reason for this is
+      // that we cannot simply use the condense
+      // family of functions, since the matrices
+      // and vectors do not use the global
+      // numbering but rather the boundary
+      // numbering, i.e. the condense function
+      // needs to use another indirection. There
+      // should be not many technical problems,
+      // but it needs to be implemented
+      if (dim>=3)
+        {
+  #ifdef DEBUG
+  // Assert that there are no hanging nodes at the boundary
+          int level = -1;
+          for (typename DH<dim,spacedim>::active_cell_iterator cell = dof.begin_active();
+               cell != dof.end(); ++cell)
+            for (unsigned int f=0; f<GeometryInfo<dim>::faces_per_cell; ++f)
+              {
+                if (cell->at_boundary(f))
+                  {
+                    if (level == -1)
+                      level = cell->level();
+                    else
+                      {
+                        Assert (level == cell->level(), ExcNotImplemented());
+                      }
+                  }
+              }
+  #endif
+        }
+      sparsity.compress();
 
 
-    // make mass matrix and right hand side
-    SparseMatrix<double> mass_matrix(sparsity);
-    Vector<double>       rhs(sparsity.n_rows());
+      // make mass matrix and right hand side
+      SparseMatrix<double> mass_matrix(sparsity);
+      Vector<double>       rhs(sparsity.n_rows());
 
 
-    MatrixCreator::create_boundary_mass_matrix (mapping, dof, q,
-                                                mass_matrix, boundary_functions,
-                                                rhs, dof_to_boundary_mapping, (const Function<spacedim> *) 0,
-                                                component_mapping);
+      MatrixCreator::create_boundary_mass_matrix (mapping, dof, q,
+                                                  mass_matrix, boundary_functions,
+                                                  rhs, dof_to_boundary_mapping, (const Function<spacedim> *) 0,
+                                                  component_mapping);
 
-    // For certain weird elements,
-    // there might be degrees of
-    // freedom on the boundary, but
-    // their shape functions do not
-    // have support there. Let's
-    // eliminate them here.
+      // For certain weird elements,
+      // there might be degrees of
+      // freedom on the boundary, but
+      // their shape functions do not
+      // have support there. Let's
+      // eliminate them here.
 
-    // The Bogner-Fox-Schmidt element
-    // is an example for those.
+      // The Bogner-Fox-Schmidt element
+      // is an example for those.
 
 //TODO: Maybe we should figure out if the element really needs this
 
-    FilteredMatrix<Vector<double> > filtered_mass_matrix(mass_matrix, true);
-    FilteredMatrix<Vector<double> > filtered_precondition;
-    std::vector<bool> excluded_dofs(mass_matrix.m(), false);
+      FilteredMatrix<Vector<double> > filtered_mass_matrix(mass_matrix, true);
+      FilteredMatrix<Vector<double> > filtered_precondition;
+      std::vector<bool> excluded_dofs(mass_matrix.m(), false);
 
-    double max_element = 0.;
-    for (unsigned int i=0; i<mass_matrix.m(); ++i)
-      if (mass_matrix.diag_element(i) > max_element)
-        max_element = mass_matrix.diag_element(i);
+      double max_element = 0.;
+      for (unsigned int i=0; i<mass_matrix.m(); ++i)
+        if (mass_matrix.diag_element(i) > max_element)
+          max_element = mass_matrix.diag_element(i);
 
-    for (unsigned int i=0; i<mass_matrix.m(); ++i)
-      if (mass_matrix.diag_element(i) < 1.e-8 * max_element)
-        {
-          filtered_mass_matrix.add_constraint(i, 0.);
-          filtered_precondition.add_constraint(i, 0.);
-          mass_matrix.diag_element(i) = 1.;
-          excluded_dofs[i] = true;
-        }
+      for (unsigned int i=0; i<mass_matrix.m(); ++i)
+        if (mass_matrix.diag_element(i) < 1.e-8 * max_element)
+          {
+            filtered_mass_matrix.add_constraint(i, 0.);
+            filtered_precondition.add_constraint(i, 0.);
+            mass_matrix.diag_element(i) = 1.;
+            excluded_dofs[i] = true;
+          }
 
-    Vector<double> boundary_projection (rhs.size());
-
-    // Allow for a maximum of 5*n
-    // steps to reduce the residual by
-    // 10^-12. n steps may not be
-    // sufficient, since roundoff
-    // errors may accumulate for badly
-    // conditioned matrices
-    ReductionControl        control(5*rhs.size(), 0., 1.e-12, false, false);
-    GrowingVectorMemory<> memory;
-    SolverCG<>              cg(control,memory);
-
-    PreconditionSSOR<> prec;
-    prec.initialize(mass_matrix, 1.2);
-    filtered_precondition.initialize(prec, true);
-    // solve
-    cg.solve (filtered_mass_matrix, boundary_projection, rhs, filtered_precondition);
-    filtered_precondition.apply_constraints(boundary_projection, true);
-    filtered_precondition.clear();
-    // fill in boundary values
-    for (unsigned int i=0; i<dof_to_boundary_mapping.size(); ++i)
-      if (dof_to_boundary_mapping[i] != DoFHandler<dim,spacedim>::invalid_dof_index
-          && ! excluded_dofs[dof_to_boundary_mapping[i]])
-        {
-          Assert(numbers::is_finite(boundary_projection(dof_to_boundary_mapping[i])), ExcNumberNotFinite());
+      Vector<double> boundary_projection (rhs.size());
+
+      // Allow for a maximum of 5*n
+      // steps to reduce the residual by
+      // 10^-12. n steps may not be
+      // sufficient, since roundoff
+      // errors may accumulate for badly
+      // conditioned matrices
+      ReductionControl        control(5*rhs.size(), 0., 1.e-12, false, false);
+      GrowingVectorMemory<> memory;
+      SolverCG<>              cg(control,memory);
+
+      PreconditionSSOR<> prec;
+      prec.initialize(mass_matrix, 1.2);
+      filtered_precondition.initialize(prec, true);
+      // solve
+      cg.solve (filtered_mass_matrix, boundary_projection, rhs, filtered_precondition);
+      filtered_precondition.apply_constraints(boundary_projection, true);
+      filtered_precondition.clear();
+      // fill in boundary values
+      for (unsigned int i=0; i<dof_to_boundary_mapping.size(); ++i)
+        if (dof_to_boundary_mapping[i] != DoFHandler<dim,spacedim>::invalid_dof_index
+            && ! excluded_dofs[dof_to_boundary_mapping[i]])
+          {
+            Assert(numbers::is_finite(boundary_projection(dof_to_boundary_mapping[i])), ExcNumberNotFinite());
 
-          // this dof is on one of the
-          // interesting boundary parts
-          //
-          // remember: i is the global dof
-          // number, dof_to_boundary_mapping[i]
-          // is the number on the boundary and
-          // thus in the solution vector
-          boundary_values[i] = boundary_projection(dof_to_boundary_mapping[i]);
-        }
+            // this dof is on one of the
+            // interesting boundary parts
+            //
+            // remember: i is the global dof
+            // number, dof_to_boundary_mapping[i]
+            // is the number on the boundary and
+            // thus in the solution vector
+            boundary_values[i] = boundary_projection(dof_to_boundary_mapping[i]);
+          }
+    }
+  }
+
+  template <int dim, int spacedim>
+  void
+  project_boundary_values (const Mapping<dim, spacedim>   &mapping,
+                           const DoFHandler<dim, spacedim> &dof,
+                           const typename FunctionMap<spacedim>::type &boundary_functions,
+                           const Quadrature<dim-1>        &q,
+                           std::map<types::global_dof_index,double>  &boundary_values,
+                           std::vector<unsigned int>       component_mapping)
+  {
+    do_project_boundary_values(mapping, dof, boundary_functions, q,
+                               boundary_values, component_mapping);
   }
 
 
@@ -2311,7 +2339,37 @@ namespace VectorTools
 
 
 
-// ----- implementation for project_boundary_values with ConstraintMatrix -----
+  template <int dim, int spacedim>
+  void project_boundary_values (const hp::MappingCollection<dim, spacedim>       &mapping,
+                                const hp::DoFHandler<dim,spacedim>    &dof,
+                                const typename FunctionMap<spacedim>::type &boundary_functions,
+                                const hp::QCollection<dim-1>  &q,
+                                std::map<types::global_dof_index,double> &boundary_values,
+                                std::vector<unsigned int> component_mapping)
+  {
+    do_project_boundary_values (hp::StaticMappingQ1<dim,spacedim>::mapping_collection, dof,
+        boundary_functions,
+        q, boundary_values,
+        component_mapping);
+  }
+
+
+
+  template <int dim, int spacedim>
+  void project_boundary_values (const hp::DoFHandler<dim,spacedim>    &dof,
+                                const typename FunctionMap<spacedim>::type &boundary_function,
+                                const hp::QCollection<dim-1>  &q,
+                                std::map<types::global_dof_index,double> &boundary_values,
+                                std::vector<unsigned int> component_mapping)
+  {
+    project_boundary_values (hp::StaticMappingQ1<dim,spacedim>::mapping_collection, dof,
+        boundary_function,
+        q, boundary_values,
+        component_mapping);
+  }
+
+
+  // ----- implementation for project_boundary_values with ConstraintMatrix -----
 
 
 
diff --git a/deal.II/source/dofs/dof_tools.inst.in b/deal.II/source/dofs/dof_tools.inst.in
index 2f4747d6b5..d5d3b5dba2 100644
--- a/deal.II/source/dofs/dof_tools.inst.in
+++ b/deal.II/source/dofs/dof_tools.inst.in
@@ -81,7 +81,6 @@ for (SP : SPARSITY_PATTERNS; deal_II_dimension : DIMENSIONS)
      const hp::DoFHandler<deal_II_dimension,deal_II_dimension> &dof_col,
      SP    &sparsity);
 
-    // #if deal_II_dimension > 1
     template void
     DoFTools::make_boundary_sparsity_pattern<DoFHandler<deal_II_dimension>,SP>
     (const DoFHandler<deal_II_dimension>& dof,
@@ -108,6 +107,15 @@ for (SP : SPARSITY_PATTERNS; deal_II_dimension : DIMENSIONS)
      const std::vector<types::global_dof_index>  &dof_to_boundary_mapping,
      SP    &sparsity);
 
+#if deal_II_dimension < 3
+    template void
+    DoFTools::make_boundary_sparsity_pattern<hp::DoFHandler<deal_II_dimension,deal_II_dimension+1>,SP>
+    (const hp::DoFHandler<deal_II_dimension,deal_II_dimension+1>& dof,
+     const FunctionMap<deal_II_dimension+1>::type  &boundary_indicators,
+     const std::vector<types::global_dof_index>  &dof_to_boundary_mapping,
+     SP    &sparsity);
+ #endif
+
     template void
     DoFTools::make_flux_sparsity_pattern<DoFHandler<deal_II_dimension>,SP>
     (const DoFHandler<deal_II_dimension> &dof,
diff --git a/deal.II/source/numerics/matrix_tools.cc b/deal.II/source/numerics/matrix_tools.cc
index bbb82c8634..32119a2330 100644
--- a/deal.II/source/numerics/matrix_tools.cc
+++ b/deal.II/source/numerics/matrix_tools.cc
@@ -1276,7 +1276,7 @@ namespace MatrixCreator
       UpdateFlags update_flags = UpdateFlags (update_values     |
                                               update_JxW_values |
                                               update_quadrature_points);
-      hp::FEFaceValues<dim> x_fe_values (mapping, fe_collection, q, update_flags);
+      hp::FEFaceValues<dim,spacedim> x_fe_values (mapping, fe_collection, q, update_flags);
 
       // two variables for the coefficient,
       // one for the two cases indicated in
diff --git a/deal.II/source/numerics/matrix_tools.inst.in b/deal.II/source/numerics/matrix_tools.inst.in
index 2f97b2a818..211ccdac5b 100644
--- a/deal.II/source/numerics/matrix_tools.inst.in
+++ b/deal.II/source/numerics/matrix_tools.inst.in
@@ -113,8 +113,29 @@ for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension :  SPACE_DIMENSIONS
        const Function<deal_II_space_dimension> * const a,
        std::vector<unsigned int>);
 
+    template
+      void
+      MatrixCreator::create_boundary_mass_matrix<deal_II_dimension,deal_II_space_dimension>
+      (const hp::MappingCollection<deal_II_dimension,deal_II_space_dimension>&,
+       const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>&,
+       const hp::QCollection<deal_II_dimension-1>&,
+       SparseMatrix<double>&,
+       const FunctionMap<deal_II_space_dimension>::type&,
+       Vector<double>&,
+       std::vector<types::global_dof_index>&,
+       const Function<deal_II_space_dimension> * const,
+       std::vector<unsigned int>);
 
-
+    template
+      void MatrixCreator::create_boundary_mass_matrix<deal_II_dimension,deal_II_space_dimension>
+      (const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>&,
+       const hp::QCollection<deal_II_dimension-1>&,
+       SparseMatrix<double>&,
+       const FunctionMap<deal_II_space_dimension>::type&,
+       Vector<double>&,
+       std::vector<types::global_dof_index>&,
+       const Function<deal_II_space_dimension> * const,
+       std::vector<unsigned int>);
 
 #endif
   }
@@ -124,111 +145,88 @@ for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension :  SPACE_DIMENSIONS
 // where applicable and move to codimension cases above also when applicable
 for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension :  SPACE_DIMENSIONS)
   {
-#if deal_II_dimension == deal_II_space_dimension
-
+#if deal_II_dimension <= deal_II_space_dimension
 // hp versions of functions
     template
-      void MatrixCreator::create_mass_matrix<deal_II_dimension>
-      (const hp::MappingCollection<deal_II_dimension>       &mapping,
-       const hp::DoFHandler<deal_II_dimension>    &dof,
+      void MatrixCreator::create_mass_matrix<deal_II_dimension,double,deal_II_space_dimension>
+      (const hp::MappingCollection<deal_II_dimension,deal_II_space_dimension>       &mapping,
+       const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>    &dof,
        const hp::QCollection<deal_II_dimension>    &q,
        SparseMatrix<double>     &matrix,
-       const Function<deal_II_dimension> * const coefficient,
+       const Function<deal_II_space_dimension> * const coefficient,
        const ConstraintMatrix   &constraints);
+
     template
-      void MatrixCreator::create_mass_matrix<deal_II_dimension>
-      (const hp::DoFHandler<deal_II_dimension>    &dof,
+      void MatrixCreator::create_mass_matrix<deal_II_dimension,double,deal_II_space_dimension>
+      (const hp::MappingCollection<deal_II_dimension,deal_II_space_dimension>       &mapping,
+       const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>    &dof,
        const hp::QCollection<deal_II_dimension>    &q,
        SparseMatrix<double>     &matrix,
-       const Function<deal_II_dimension> * const coefficient,
+       const Function<deal_II_space_dimension>      &rhs,
+       Vector<double>           &rhs_vector,
+       const Function<deal_II_space_dimension> * const coefficient,
        const ConstraintMatrix   &constraints);
+
     template
       void MatrixCreator::create_mass_matrix<deal_II_dimension>
-      (const hp::MappingCollection<deal_II_dimension>       &mapping,
-       const hp::DoFHandler<deal_II_dimension>    &dof,
+      (const hp::MappingCollection<deal_II_dimension,deal_II_space_dimension>       &mapping,
+       const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>    &dof,
        const hp::QCollection<deal_II_dimension>    &q,
-       SparseMatrix<double>     &matrix,
-       const Function<deal_II_dimension>      &rhs,
+       SparseMatrix<float>     &matrix,
+       const Function<deal_II_space_dimension>      &rhs,
        Vector<double>           &rhs_vector,
-       const Function<deal_II_dimension> * const coefficient,
+       const Function<deal_II_space_dimension> * const coefficient,
        const ConstraintMatrix   &constraints);
+
     template
       void MatrixCreator::create_mass_matrix<deal_II_dimension>
-      (const hp::DoFHandler<deal_II_dimension>    &dof,
+      (const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>    &dof,
        const hp::QCollection<deal_II_dimension>    &q,
-       SparseMatrix<double>     &matrix,
-       const Function<deal_II_dimension>      &rhs,
+       SparseMatrix<float>     &matrix,
+       const Function<deal_II_space_dimension>      &rhs,
        Vector<double>           &rhs_vector,
-       const Function<deal_II_dimension> * const coefficient,
+       const Function<deal_II_space_dimension> * const coefficient,
        const ConstraintMatrix   &constraints);
 
+#endif
 
+#if deal_II_dimension == deal_II_space_dimension
+
+       
     template
       void MatrixCreator::create_mass_matrix<deal_II_dimension>
-      (const hp::MappingCollection<deal_II_dimension>       &mapping,
-       const hp::DoFHandler<deal_II_dimension>    &dof,
+      (const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>    &dof,
        const hp::QCollection<deal_II_dimension>    &q,
-       SparseMatrix<float>     &matrix,
-       const Function<deal_II_dimension> * const coefficient,
+       SparseMatrix<double>     &matrix,
+       const Function<deal_II_space_dimension> * const coefficient,
        const ConstraintMatrix   &constraints);
+
     template
       void MatrixCreator::create_mass_matrix<deal_II_dimension>
-      (const hp::DoFHandler<deal_II_dimension>    &dof,
+      (const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>    &dof,
        const hp::QCollection<deal_II_dimension>    &q,
-       SparseMatrix<float>     &matrix,
-       const Function<deal_II_dimension> * const coefficient,
+       SparseMatrix<double>     &matrix,
+       const Function<deal_II_space_dimension>      &rhs,
+       Vector<double>           &rhs_vector,
+       const Function<deal_II_space_dimension> * const coefficient,
        const ConstraintMatrix   &constraints);
+
     template
       void MatrixCreator::create_mass_matrix<deal_II_dimension>
-      (const hp::MappingCollection<deal_II_dimension>       &mapping,
-       const hp::DoFHandler<deal_II_dimension>    &dof,
+      (const hp::MappingCollection<deal_II_dimension,deal_II_space_dimension>       &mapping,
+       const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>    &dof,
        const hp::QCollection<deal_II_dimension>    &q,
        SparseMatrix<float>     &matrix,
-       const Function<deal_II_dimension>      &rhs,
-       Vector<double>           &rhs_vector,
-       const Function<deal_II_dimension> * const coefficient,
+       const Function<deal_II_space_dimension> * const coefficient,
        const ConstraintMatrix   &constraints);
+       
     template
       void MatrixCreator::create_mass_matrix<deal_II_dimension>
-      (const hp::DoFHandler<deal_II_dimension>    &dof,
+      (const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>    &dof,
        const hp::QCollection<deal_II_dimension>    &q,
        SparseMatrix<float>     &matrix,
-       const Function<deal_II_dimension>      &rhs,
-       Vector<double>           &rhs_vector,
-       const Function<deal_II_dimension> * const coefficient,
-       const ConstraintMatrix   &constraints);
-
-
-#if deal_II_dimension != 1
-
-
-
-    template
-      void
-      MatrixCreator::create_boundary_mass_matrix<deal_II_dimension>
-      (const hp::MappingCollection<deal_II_dimension>&,
-       const hp::DoFHandler<deal_II_dimension>&,
-       const hp::QCollection<deal_II_dimension-1>&,
-       SparseMatrix<double>&,
-       const FunctionMap<deal_II_dimension>::type&,
-       Vector<double>&,
-       std::vector<types::global_dof_index>&,
-       const Function<deal_II_dimension> * const,
-       std::vector<unsigned int>);
-
-    template
-      void MatrixCreator::create_boundary_mass_matrix<deal_II_dimension>
-      (const hp::DoFHandler<deal_II_dimension>&,
-       const hp::QCollection<deal_II_dimension-1>&,
-       SparseMatrix<double>&,
-       const FunctionMap<deal_II_dimension>::type&,
-       Vector<double>&,
-       std::vector<types::global_dof_index>&,
-       const Function<deal_II_dimension> * const,
-       std::vector<unsigned int>);
-
-#endif
-
+       const Function<deal_II_space_dimension> * const coefficient,
+       const ConstraintMatrix   &constraints);       
 
 // non-hp versions of create_laplace_matrix
     template
diff --git a/deal.II/source/numerics/vector_tools.inst.in b/deal.II/source/numerics/vector_tools.inst.in
index a1031c5958..7d0327b866 100644
--- a/deal.II/source/numerics/vector_tools.inst.in
+++ b/deal.II/source/numerics/vector_tools.inst.in
@@ -118,6 +118,29 @@ for (VEC : SERIAL_VECTORS ; deal_II_dimension : DIMENSIONS; deal_II_space_dimens
          const bool,
          const Quadrature<deal_II_dimension-1> &,
          const bool);
+
+      template
+        void project
+        (const hp::MappingCollection<deal_II_dimension,deal_II_space_dimension>      &,
+         const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>   &,
+         const ConstraintMatrix                &,
+         const hp::QCollection<deal_II_dimension>   &,
+         const Function<deal_II_space_dimension>     &,
+         VEC                                   &,
+         const bool,
+         const hp::QCollection<deal_II_dimension-1> &,
+         const bool);
+
+      template
+        void project
+        (const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>   &,
+         const ConstraintMatrix                &,
+         const hp::QCollection<deal_II_dimension>   &,
+         const Function<deal_II_space_dimension>     &,
+         VEC                                   &,
+         const bool,
+         const hp::QCollection<deal_II_dimension-1> &,
+         const bool);
       \}
 #endif
   }
@@ -404,8 +427,28 @@ for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension :  SPACE_DIMENSIONS
 // where applicable and move to codimension cases above also when applicable
 for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension :  SPACE_DIMENSIONS)
   {
-#if deal_II_dimension == deal_II_space_dimension
     namespace VectorTools \{
+
+#if deal_II_dimension <= deal_II_space_dimension
+      template
+        void project_boundary_values<deal_II_dimension,deal_II_space_dimension>
+        (const hp::MappingCollection<deal_II_dimension,deal_II_space_dimension>  &,
+         const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>  &,
+         const FunctionMap<deal_II_space_dimension>::type &,
+         const hp::QCollection<deal_II_dimension-1>&,
+         std::map<types::global_dof_index,double>&, 
+         std::vector<unsigned int>);
+
+      template
+        void project_boundary_values<deal_II_dimension,deal_II_space_dimension>
+        (const hp::DoFHandler<deal_II_dimension,deal_II_space_dimension>  &,
+         const FunctionMap<deal_II_space_dimension>::type &,
+         const hp::QCollection<deal_II_dimension-1>&,
+         std::map<types::global_dof_index,double>&, 
+         std::vector<unsigned int>);
+#endif
+
+#if deal_II_dimension == deal_II_space_dimension
       template
         void create_right_hand_side<deal_II_dimension>
         (const hp::MappingCollection<deal_II_dimension>    &,
@@ -518,7 +561,6 @@ for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension :  SPACE_DIMENSIONS
 
 
 
-#if deal_II_dimension > 1
       template
         void project_boundary_values<deal_II_dimension>
         (const Mapping<deal_II_dimension>     &,
@@ -526,31 +568,16 @@ for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension :  SPACE_DIMENSIONS
          const FunctionMap<deal_II_dimension>::type &,
          const Quadrature<deal_II_dimension-1>&,
          std::map<types::global_dof_index,double>&, std::vector<unsigned int>);
-#endif
 
       template
         void project_boundary_values<deal_II_dimension>
         (const DoFHandler<deal_II_dimension>  &,
          const FunctionMap<deal_II_dimension>::type &,
          const Quadrature<deal_II_dimension-1>&,
-         std::map<types::global_dof_index,double>&, std::vector<unsigned int>);
+         std::map<types::global_dof_index,double>&, 
+         std::vector<unsigned int>);
 
 
-      template
-        void project_boundary_values<deal_II_dimension>
-        (const Mapping<deal_II_dimension>     &,
-         const DoFHandler<deal_II_dimension>  &,
-         const FunctionMap<deal_II_dimension>::type &,
-         const Quadrature<deal_II_dimension-1>&,
-         ConstraintMatrix&, std::vector<unsigned int>);
-
-      template
-        void project_boundary_values<deal_II_dimension>
-        (const DoFHandler<deal_II_dimension>  &,
-         const FunctionMap<deal_II_dimension>::type &,
-         const Quadrature<deal_II_dimension-1>&,
-         ConstraintMatrix&, std::vector<unsigned int>);
-
 
 #if deal_II_dimension != 1
       template
@@ -600,8 +627,8 @@ for (deal_II_dimension : DIMENSIONS; deal_II_space_dimension :  SPACE_DIMENSIONS
                                             ConstraintMatrix      &constraints,
                                             const Mapping<deal_II_dimension>    &mapping);
 #endif
-      \}
 #endif
+      \}
   }
 
 
diff --git a/tests/hp/project_01.cc b/tests/hp/project_01.cc
new file mode 100644
index 0000000000..0d7b18513d
--- /dev/null
+++ b/tests/hp/project_01.cc
@@ -0,0 +1,108 @@
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2006 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+// check VectorTools::project for Vector<double> arguments and hp
+
+
+#include "../tests.h"
+#include <deal.II/base/function.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_tools.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/hp/dof_handler.h>
+#include <deal.II/hp/q_collection.h>
+#include <deal.II/lac/constraint_matrix.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/numerics/vector_tools.h>
+#include <deal.II/dofs/dof_accessor.h>
+
+#include <fstream>
+
+
+// define the multi-linear function x or x*y or x*y*z that we will
+// subsequently project onto the ansatz space
+template <int dim>
+class F : public Function<dim>
+{
+public:
+  virtual double value (const Point<dim> &p,
+                        const unsigned int = 0) const
+  {
+    double s = 1;
+    for (unsigned int i=0; i<dim; ++i)
+      s *= p[i];
+    return s;
+  }
+};
+
+
+template<int dim>
+void test()
+{
+  // create 2 triangulations with the
+  // same coarse grid, and refine
+  // them differently
+  Triangulation<dim> tria;
+
+  GridGenerator::hyper_cube (tria);
+  tria.refine_global (2);
+
+  hp::FECollection<dim> fe;
+  fe.push_back(FE_Q<dim>(1));
+  hp::DoFHandler<dim> dh (tria);
+  dh.distribute_dofs (fe);
+
+  Vector<double> v(dh.n_dofs());
+
+  ConstraintMatrix cm;
+  cm.close ();
+  VectorTools::project (dh, cm, hp::QCollection<dim>(QGauss<dim>(3)), F<dim>(),
+                        v);
+
+  for (typename hp::DoFHandler<dim>::active_cell_iterator cell=dh.begin_active();
+       cell != dh.end(); ++cell)
+    for (unsigned int i=0; i<GeometryInfo<dim>::vertices_per_cell; ++i)
+      {
+        // check that the error is
+        // somewhat small. it won't
+        // be zero since we project
+        // and do not interpolate
+        Assert (std::fabs (v(cell->vertex_dof_index(i,0,cell->active_fe_index())) -
+                           F<dim>().value (cell->vertex(i)))
+                < 1e-4,
+                ExcInternalError());
+        deallog << cell->vertex(i) << ' ' << v(cell->vertex_dof_index(i,0,cell->active_fe_index()))
+                << std::endl;
+      }
+}
+
+
+int main()
+{
+  std::ofstream logfile ("project_01/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test<1>();
+  test<2>();
+  test<3>();
+}
+
diff --git a/tests/hp/project_01/cmp/generic b/tests/hp/project_01/cmp/generic
new file mode 100644
index 0000000000..8889fb7a29
--- /dev/null
+++ b/tests/hp/project_01/cmp/generic
@@ -0,0 +1,585 @@
+
+DEAL::0.00000 0
+DEAL::0.250000 0.250000
+DEAL::0.250000 0.250000
+DEAL::0.500000 0.500000
+DEAL::0.500000 0.500000
+DEAL::0.750000 0.750000
+DEAL::0.750000 0.750000
+DEAL::1.00000 1.00000
+DEAL::0.00000 0.00000 0
+DEAL::0.250000 0.00000 0
+DEAL::0.00000 0.250000 0
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.250000 0.00000 0
+DEAL::0.500000 0.00000 0
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.00000 0.250000 0
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.00000 0.500000 0
+DEAL::0.250000 0.500000 0.125000
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.250000 0.500000 0.125000
+DEAL::0.500000 0.500000 0.250000
+DEAL::0.500000 0.00000 0
+DEAL::0.750000 0.00000 0
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.750000 0.250000 0.187500
+DEAL::0.750000 0.00000 0
+DEAL::1.00000 0.00000 0
+DEAL::0.750000 0.250000 0.187500
+DEAL::1.00000 0.250000 0.250000
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.750000 0.250000 0.187500
+DEAL::0.500000 0.500000 0.250000
+DEAL::0.750000 0.500000 0.375000
+DEAL::0.750000 0.250000 0.187500
+DEAL::1.00000 0.250000 0.250000
+DEAL::0.750000 0.500000 0.375000
+DEAL::1.00000 0.500000 0.500000
+DEAL::0.00000 0.500000 0
+DEAL::0.250000 0.500000 0.125000
+DEAL::0.00000 0.750000 0
+DEAL::0.250000 0.750000 0.187500
+DEAL::0.250000 0.500000 0.125000
+DEAL::0.500000 0.500000 0.250000
+DEAL::0.250000 0.750000 0.187500
+DEAL::0.500000 0.750000 0.375000
+DEAL::0.00000 0.750000 0
+DEAL::0.250000 0.750000 0.187500
+DEAL::0.00000 1.00000 0
+DEAL::0.250000 1.00000 0.250000
+DEAL::0.250000 0.750000 0.187500
+DEAL::0.500000 0.750000 0.375000
+DEAL::0.250000 1.00000 0.250000
+DEAL::0.500000 1.00000 0.500000
+DEAL::0.500000 0.500000 0.250000
+DEAL::0.750000 0.500000 0.375000
+DEAL::0.500000 0.750000 0.375000
+DEAL::0.750000 0.750000 0.562500
+DEAL::0.750000 0.500000 0.375000
+DEAL::1.00000 0.500000 0.500000
+DEAL::0.750000 0.750000 0.562500
+DEAL::1.00000 0.750000 0.750000
+DEAL::0.500000 0.750000 0.375000
+DEAL::0.750000 0.750000 0.562500
+DEAL::0.500000 1.00000 0.500000
+DEAL::0.750000 1.00000 0.750000
+DEAL::0.750000 0.750000 0.562500
+DEAL::1.00000 0.750000 0.750000
+DEAL::0.750000 1.00000 0.750000
+DEAL::1.00000 1.00000 1.00000
+DEAL::0.00000 0.00000 0.00000 0
+DEAL::0.250000 0.00000 0.00000 0
+DEAL::0.00000 0.250000 0.00000 0
+DEAL::0.250000 0.250000 0.00000 0
+DEAL::0.00000 0.00000 0.250000 0
+DEAL::0.250000 0.00000 0.250000 0
+DEAL::0.00000 0.250000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.250000 0.00000 0.00000 0
+DEAL::0.500000 0.00000 0.00000 0
+DEAL::0.250000 0.250000 0.00000 0
+DEAL::0.500000 0.250000 0.00000 0
+DEAL::0.250000 0.00000 0.250000 0
+DEAL::0.500000 0.00000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.500000 0.250000 0.250000 0.0312500
+DEAL::0.00000 0.250000 0.00000 0
+DEAL::0.250000 0.250000 0.00000 0
+DEAL::0.00000 0.500000 0.00000 0
+DEAL::0.250000 0.500000 0.00000 0
+DEAL::0.00000 0.250000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.00000 0.500000 0.250000 0
+DEAL::0.250000 0.500000 0.250000 0.0312500
+DEAL::0.250000 0.250000 0.00000 0
+DEAL::0.500000 0.250000 0.00000 0
+DEAL::0.250000 0.500000 0.00000 0
+DEAL::0.500000 0.500000 0.00000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.500000 0.250000 0.250000 0.0312500
+DEAL::0.250000 0.500000 0.250000 0.0312500
+DEAL::0.500000 0.500000 0.250000 0.0625000
+DEAL::0.00000 0.00000 0.250000 0
+DEAL::0.250000 0.00000 0.250000 0
+DEAL::0.00000 0.250000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.00000 0.00000 0.500000 0
+DEAL::0.250000 0.00000 0.500000 0
+DEAL::0.00000 0.250000 0.500000 0
+DEAL::0.250000 0.250000 0.500000 0.0312500
+DEAL::0.250000 0.00000 0.250000 0
+DEAL::0.500000 0.00000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.500000 0.250000 0.250000 0.0312500
+DEAL::0.250000 0.00000 0.500000 0
+DEAL::0.500000 0.00000 0.500000 0
+DEAL::0.250000 0.250000 0.500000 0.0312500
+DEAL::0.500000 0.250000 0.500000 0.0625000
+DEAL::0.00000 0.250000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.00000 0.500000 0.250000 0
+DEAL::0.250000 0.500000 0.250000 0.0312500
+DEAL::0.00000 0.250000 0.500000 0
+DEAL::0.250000 0.250000 0.500000 0.0312500
+DEAL::0.00000 0.500000 0.500000 0
+DEAL::0.250000 0.500000 0.500000 0.0625000
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.500000 0.250000 0.250000 0.0312500
+DEAL::0.250000 0.500000 0.250000 0.0312500
+DEAL::0.500000 0.500000 0.250000 0.0625000
+DEAL::0.250000 0.250000 0.500000 0.0312500
+DEAL::0.500000 0.250000 0.500000 0.0625000
+DEAL::0.250000 0.500000 0.500000 0.0625000
+DEAL::0.500000 0.500000 0.500000 0.125000
+DEAL::0.500000 0.00000 0.00000 0
+DEAL::0.750000 0.00000 0.00000 0
+DEAL::0.500000 0.250000 0.00000 0
+DEAL::0.750000 0.250000 0.00000 0
+DEAL::0.500000 0.00000 0.250000 0
+DEAL::0.750000 0.00000 0.250000 0
+DEAL::0.500000 0.250000 0.250000 0.0312500
+DEAL::0.750000 0.250000 0.250000 0.0468750
+DEAL::0.750000 0.00000 0.00000 0
+DEAL::1.00000 0.00000 0.00000 0
+DEAL::0.750000 0.250000 0.00000 0
+DEAL::1.00000 0.250000 0.00000 0
+DEAL::0.750000 0.00000 0.250000 0
+DEAL::1.00000 0.00000 0.250000 0
+DEAL::0.750000 0.250000 0.250000 0.0468750
+DEAL::1.00000 0.250000 0.250000 0.0625000
+DEAL::0.500000 0.250000 0.00000 0
+DEAL::0.750000 0.250000 0.00000 0
+DEAL::0.500000 0.500000 0.00000 0
+DEAL::0.750000 0.500000 0.00000 0
+DEAL::0.500000 0.250000 0.250000 0.0312500
+DEAL::0.750000 0.250000 0.250000 0.0468750
+DEAL::0.500000 0.500000 0.250000 0.0625000
+DEAL::0.750000 0.500000 0.250000 0.0937500
+DEAL::0.750000 0.250000 0.00000 0
+DEAL::1.00000 0.250000 0.00000 0
+DEAL::0.750000 0.500000 0.00000 0
+DEAL::1.00000 0.500000 0.00000 0
+DEAL::0.750000 0.250000 0.250000 0.0468750
+DEAL::1.00000 0.250000 0.250000 0.0625000
+DEAL::0.750000 0.500000 0.250000 0.0937500
+DEAL::1.00000 0.500000 0.250000 0.125000
+DEAL::0.500000 0.00000 0.250000 0
+DEAL::0.750000 0.00000 0.250000 0
+DEAL::0.500000 0.250000 0.250000 0.0312500
+DEAL::0.750000 0.250000 0.250000 0.0468750
+DEAL::0.500000 0.00000 0.500000 0
+DEAL::0.750000 0.00000 0.500000 0
+DEAL::0.500000 0.250000 0.500000 0.0625000
+DEAL::0.750000 0.250000 0.500000 0.0937500
+DEAL::0.750000 0.00000 0.250000 0
+DEAL::1.00000 0.00000 0.250000 0
+DEAL::0.750000 0.250000 0.250000 0.0468750
+DEAL::1.00000 0.250000 0.250000 0.0625000
+DEAL::0.750000 0.00000 0.500000 0
+DEAL::1.00000 0.00000 0.500000 0
+DEAL::0.750000 0.250000 0.500000 0.0937500
+DEAL::1.00000 0.250000 0.500000 0.125000
+DEAL::0.500000 0.250000 0.250000 0.0312500
+DEAL::0.750000 0.250000 0.250000 0.0468750
+DEAL::0.500000 0.500000 0.250000 0.0625000
+DEAL::0.750000 0.500000 0.250000 0.0937500
+DEAL::0.500000 0.250000 0.500000 0.0625000
+DEAL::0.750000 0.250000 0.500000 0.0937500
+DEAL::0.500000 0.500000 0.500000 0.125000
+DEAL::0.750000 0.500000 0.500000 0.187500
+DEAL::0.750000 0.250000 0.250000 0.0468750
+DEAL::1.00000 0.250000 0.250000 0.0625000
+DEAL::0.750000 0.500000 0.250000 0.0937500
+DEAL::1.00000 0.500000 0.250000 0.125000
+DEAL::0.750000 0.250000 0.500000 0.0937500
+DEAL::1.00000 0.250000 0.500000 0.125000
+DEAL::0.750000 0.500000 0.500000 0.187500
+DEAL::1.00000 0.500000 0.500000 0.250000
+DEAL::0.00000 0.500000 0.00000 0
+DEAL::0.250000 0.500000 0.00000 0
+DEAL::0.00000 0.750000 0.00000 0
+DEAL::0.250000 0.750000 0.00000 0
+DEAL::0.00000 0.500000 0.250000 0
+DEAL::0.250000 0.500000 0.250000 0.0312500
+DEAL::0.00000 0.750000 0.250000 0
+DEAL::0.250000 0.750000 0.250000 0.0468750
+DEAL::0.250000 0.500000 0.00000 0
+DEAL::0.500000 0.500000 0.00000 0
+DEAL::0.250000 0.750000 0.00000 0
+DEAL::0.500000 0.750000 0.00000 0
+DEAL::0.250000 0.500000 0.250000 0.0312500
+DEAL::0.500000 0.500000 0.250000 0.0625000
+DEAL::0.250000 0.750000 0.250000 0.0468750
+DEAL::0.500000 0.750000 0.250000 0.0937500
+DEAL::0.00000 0.750000 0.00000 0
+DEAL::0.250000 0.750000 0.00000 0
+DEAL::0.00000 1.00000 0.00000 0
+DEAL::0.250000 1.00000 0.00000 0
+DEAL::0.00000 0.750000 0.250000 0
+DEAL::0.250000 0.750000 0.250000 0.0468750
+DEAL::0.00000 1.00000 0.250000 0
+DEAL::0.250000 1.00000 0.250000 0.0625000
+DEAL::0.250000 0.750000 0.00000 0
+DEAL::0.500000 0.750000 0.00000 0
+DEAL::0.250000 1.00000 0.00000 0
+DEAL::0.500000 1.00000 0.00000 0
+DEAL::0.250000 0.750000 0.250000 0.0468750
+DEAL::0.500000 0.750000 0.250000 0.0937500
+DEAL::0.250000 1.00000 0.250000 0.0625000
+DEAL::0.500000 1.00000 0.250000 0.125000
+DEAL::0.00000 0.500000 0.250000 0
+DEAL::0.250000 0.500000 0.250000 0.0312500
+DEAL::0.00000 0.750000 0.250000 0
+DEAL::0.250000 0.750000 0.250000 0.0468750
+DEAL::0.00000 0.500000 0.500000 0
+DEAL::0.250000 0.500000 0.500000 0.0625000
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diff --git a/tests/hp/project_01/cmp/i686-pc-linux-gnu+gcc4.2 b/tests/hp/project_01/cmp/i686-pc-linux-gnu+gcc4.2
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_01/cmp/i686-pc-linux-gnu+gcc4.2
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diff --git a/tests/hp/project_01/cmp/i686-pc-linux-gnu+gcc4.3 b/tests/hp/project_01/cmp/i686-pc-linux-gnu+gcc4.3
new file mode 100644
index 0000000000..e6e400da89
--- /dev/null
+++ b/tests/hp/project_01/cmp/i686-pc-linux-gnu+gcc4.3
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diff --git a/tests/hp/project_01/cmp/i686-pc-linux-gnu+gcc4.4 b/tests/hp/project_01/cmp/i686-pc-linux-gnu+gcc4.4
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_01/cmp/i686-pc-linux-gnu+gcc4.4
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diff --git a/tests/hp/project_01/cmp/powerpc-apple-darwin8.8.0+gcc4.0 b/tests/hp/project_01/cmp/powerpc-apple-darwin8.8.0+gcc4.0
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_01/cmp/powerpc-apple-darwin8.8.0+gcc4.0
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diff --git a/tests/hp/project_01/cmp/x86_64-unknown-linux-gnu+gcc4.1 b/tests/hp/project_01/cmp/x86_64-unknown-linux-gnu+gcc4.1
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_01/cmp/x86_64-unknown-linux-gnu+gcc4.1
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+DEAL::0.500000 0.500000 0.750000 0.187500
+DEAL::0.750000 0.500000 0.750000 0.281250
+DEAL::0.500000 0.750000 0.750000 0.281250
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::0.750000 0.500000 0.500000 0.187500
+DEAL::1.00000 0.500000 0.500000 0.250000
+DEAL::0.750000 0.750000 0.500000 0.281250
+DEAL::1.00000 0.750000 0.500000 0.375000
+DEAL::0.750000 0.500000 0.750000 0.281250
+DEAL::1.00000 0.500000 0.750000 0.375000
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::1.00000 0.750000 0.750000 0.562500
+DEAL::0.500000 0.750000 0.500000 0.187500
+DEAL::0.750000 0.750000 0.500000 0.281250
+DEAL::0.500000 1.00000 0.500000 0.250000
+DEAL::0.750000 1.00000 0.500000 0.375000
+DEAL::0.500000 0.750000 0.750000 0.281250
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::0.500000 1.00000 0.750000 0.375000
+DEAL::0.750000 1.00000 0.750000 0.562500
+DEAL::0.750000 0.750000 0.500000 0.281250
+DEAL::1.00000 0.750000 0.500000 0.375000
+DEAL::0.750000 1.00000 0.500000 0.375000
+DEAL::1.00000 1.00000 0.500000 0.500000
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::1.00000 0.750000 0.750000 0.562500
+DEAL::0.750000 1.00000 0.750000 0.562500
+DEAL::1.00000 1.00000 0.750000 0.750000
+DEAL::0.500000 0.500000 0.750000 0.187500
+DEAL::0.750000 0.500000 0.750000 0.281250
+DEAL::0.500000 0.750000 0.750000 0.281250
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::0.500000 0.500000 1.00000 0.250000
+DEAL::0.750000 0.500000 1.00000 0.375000
+DEAL::0.500000 0.750000 1.00000 0.375000
+DEAL::0.750000 0.750000 1.00000 0.562500
+DEAL::0.750000 0.500000 0.750000 0.281250
+DEAL::1.00000 0.500000 0.750000 0.375000
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::1.00000 0.750000 0.750000 0.562500
+DEAL::0.750000 0.500000 1.00000 0.375000
+DEAL::1.00000 0.500000 1.00000 0.500000
+DEAL::0.750000 0.750000 1.00000 0.562500
+DEAL::1.00000 0.750000 1.00000 0.750000
+DEAL::0.500000 0.750000 0.750000 0.281250
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::0.500000 1.00000 0.750000 0.375000
+DEAL::0.750000 1.00000 0.750000 0.562500
+DEAL::0.500000 0.750000 1.00000 0.375000
+DEAL::0.750000 0.750000 1.00000 0.562500
+DEAL::0.500000 1.00000 1.00000 0.500000
+DEAL::0.750000 1.00000 1.00000 0.750000
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::1.00000 0.750000 0.750000 0.562500
+DEAL::0.750000 1.00000 0.750000 0.562500
+DEAL::1.00000 1.00000 0.750000 0.750000
+DEAL::0.750000 0.750000 1.00000 0.562500
+DEAL::1.00000 0.750000 1.00000 0.750000
+DEAL::0.750000 1.00000 1.00000 0.750000
+DEAL::1.00000 1.00000 1.00000 1.00000
diff --git a/tests/hp/project_01_curved_boundary.cc b/tests/hp/project_01_curved_boundary.cc
new file mode 100644
index 0000000000..d0d73c000b
--- /dev/null
+++ b/tests/hp/project_01_curved_boundary.cc
@@ -0,0 +1,177 @@
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2006 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+// check VectorTools::project for Vector<double> arguments and hp
+
+
+#include "../tests.h"
+#include <deal.II/base/function.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/lac/vector.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_tools.h>
+#include <deal.II/grid/tria_boundary_lib.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/hp/dof_handler.h>
+#include <deal.II/hp/q_collection.h>
+#include <deal.II/lac/constraint_matrix.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/numerics/vector_tools.h>
+#include <deal.II/dofs/dof_accessor.h>
+
+#include <fstream>
+
+
+// define a function that is zero within the square
+//   [-sqrt(2)/2,sqrt(2)/2]^d
+// which is the domain produced by GridGenerator::hyper_sphere
+// when using a linear mapping. we will want to see a solution
+// that is not zero when using a higher order mapping and a Q2
+// element
+template <int dim>
+class F : public Function<dim>
+{
+public:
+  virtual double value (const Point<dim> &p,
+                        const unsigned int = 0) const
+  {
+    // compute the linfty norm of p
+    double m = 0;
+    for (unsigned int d=0; d<dim; ++d)
+      m = std::max(m, std::fabs(p[d]));
+
+    // let the value increase linearly away from the square
+    return std::max (0., m-std::sqrt(2.)/2);
+  }
+};
+
+
+template<int dim>
+void test()
+{
+  HyperBallBoundary<dim> boundary;
+
+  // create 2 triangulations with the
+  // same coarse grid, and refine
+  // them differently
+  Triangulation<dim> tria;
+  GridGenerator::hyper_ball (tria);
+  tria.set_boundary (0, boundary);
+
+
+  hp::FECollection<dim> fe;
+  fe.push_back(FE_Q<dim>(1));
+  hp::DoFHandler<dim> dh (tria);
+  dh.distribute_dofs (fe);
+
+  Vector<double> v(dh.n_dofs());
+
+  ConstraintMatrix cm;
+  cm.close ();
+
+  // use the implicit Q1 mapping. this will yield a zero solution
+  {
+    VectorTools::project (dh, cm, hp::QCollection<dim>(QGauss<dim>(3)), F<dim>(),
+                          v);
+    deallog << v.l2_norm() << std::endl;
+    Assert (v.l2_norm() == 0, ExcInternalError());
+  }
+
+  // use an explicit Q1 mapping. this will yield a zero solution
+  {
+    VectorTools::project (hp::MappingCollection<dim>(MappingQ1<dim>()),
+                          dh, cm, hp::QCollection<dim>(QGauss<dim>(3)), F<dim>(),
+                          v);
+    deallog << v.l2_norm() << std::endl;
+    Assert (v.l2_norm() == 0, ExcInternalError());
+  }
+
+  // use an explicit Q2 mapping. this will yield a nonzero solution if it's a
+  // straight projection since some of the quadrature points are lying outside
+  // the area where the function is zero
+  {
+    VectorTools::project (hp::MappingCollection<dim>(MappingQ<dim>(2)),
+                          dh, cm, hp::QCollection<dim>(QGauss<dim>(3)), F<dim>(),
+                          v);
+    deallog << v.l2_norm() << std::endl;
+    Assert (v.l2_norm() != 0, ExcInternalError());
+  }
+
+  // use an explicit Q2 mapping but enforce zero boundary values. this will
+  // yield a nonzero solution since some of the quadrature points are lying
+  // outside the area where the function is zero, even though the values of
+  // the DoFs at the boundary are in fact zero (they are interpolated only at
+  // points where the function is zero)
+  {
+    VectorTools::project (hp::MappingCollection<dim>(MappingQ<dim>(2)),
+                          dh, cm, hp::QCollection<dim>(QGauss<dim>(3)), F<dim>(),
+                          v, true);
+    deallog << v.l2_norm() << std::endl;
+    Assert (v.l2_norm() != 0, ExcInternalError());
+  }
+
+  // use an explicit Q2 mapping and project to the boundary first. this will
+  // yield a nonzero solution since some of the quadrature points are lying
+  // outside the area where the function is zero. furthermore, the values on
+  // the boundary will be nonzero since we project, even though the
+  // *interpolation* of boundary values onto the trace of the Q1 space is zero
+  {
+    VectorTools::project (hp::MappingCollection<dim>(MappingQ<dim>(2)),
+                          dh, cm, hp::QCollection<dim>(QGauss<dim>(3)), F<dim>(),
+                          v, false,
+                          hp::QCollection<dim-1>(QGauss<dim-1>(2)), true);
+    deallog << v.l2_norm() << std::endl;
+    Assert (v.l2_norm() != 0, ExcInternalError());
+    for (typename hp::DoFHandler<dim>::active_cell_iterator cell=dh.begin_active();
+         cell != dh.end(); ++cell)
+      for (unsigned int i=0; i<GeometryInfo<dim>::vertices_per_cell; ++i)
+        deallog << cell->vertex(i) << ' ' << v(cell->vertex_dof_index(i,0,cell->active_fe_index()))
+                << std::endl;
+  }
+
+
+  // same as above, but use a projection with a QTrapez formula. this happens
+  // to evaluate the function only at points where it is zero, and
+  // consequently the values at the boundary should be zero
+  {
+    VectorTools::project (hp::MappingCollection<dim>(MappingQ<dim>(2)),
+                          dh, cm, hp::QCollection<dim>(QGauss<dim>(3)), F<dim>(),
+                          v, false,
+                          hp::QCollection<dim-1>(QTrapez<dim-1>()), true);
+    deallog << v.l2_norm() << std::endl;
+    Assert (v.l2_norm() != 0, ExcInternalError());
+    for (typename hp::DoFHandler<dim>::active_cell_iterator cell=dh.begin_active();
+         cell != dh.end(); ++cell)
+      for (unsigned int i=0; i<GeometryInfo<dim>::vertices_per_cell; ++i)
+        deallog << cell->vertex(i) << ' ' << v(cell->vertex_dof_index(i,0,cell->active_fe_index()))
+                << std::endl;
+  }
+}
+
+
+int main()
+{
+  std::ofstream logfile ("project_01_curved_boundary/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test<2>();
+  test<3>();
+}
+
diff --git a/tests/hp/project_01_curved_boundary/cmp/generic b/tests/hp/project_01_curved_boundary/cmp/generic
new file mode 100644
index 0000000000..218888d980
--- /dev/null
+++ b/tests/hp/project_01_curved_boundary/cmp/generic
@@ -0,0 +1,165 @@
+
+DEAL::0
+DEAL::0
+DEAL::0.227756
+DEAL::0.0359680
+DEAL::0.421875
+DEAL::-0.707107 -0.707107 0.195262
+DEAL::0.707107 -0.707107 0.195262
+DEAL::-0.292893 -0.292893 -0.0797954
+DEAL::0.292893 -0.292893 -0.0797954
+DEAL::-0.707107 -0.707107 0.195262
+DEAL::-0.292893 -0.292893 -0.0797954
+DEAL::-0.707107 0.707107 0.195262
+DEAL::-0.292893 0.292893 -0.0797954
+DEAL::-0.292893 -0.292893 -0.0797954
+DEAL::0.292893 -0.292893 -0.0797954
+DEAL::-0.292893 0.292893 -0.0797954
+DEAL::0.292893 0.292893 -0.0797954
+DEAL::0.707107 -0.707107 0.195262
+DEAL::0.707107 0.707107 0.195262
+DEAL::0.292893 -0.292893 -0.0797954
+DEAL::0.292893 0.292893 -0.0797954
+DEAL::-0.707107 0.707107 0.195262
+DEAL::-0.292893 0.292893 -0.0797954
+DEAL::0.707107 0.707107 0.195262
+DEAL::0.292893 0.292893 -0.0797954
+DEAL::0.0359680
+DEAL::-0.707107 -0.707107 0
+DEAL::0.707107 -0.707107 0
+DEAL::-0.292893 -0.292893 0.0179840
+DEAL::0.292893 -0.292893 0.0179840
+DEAL::-0.707107 -0.707107 0
+DEAL::-0.292893 -0.292893 0.0179840
+DEAL::-0.707107 0.707107 0
+DEAL::-0.292893 0.292893 0.0179840
+DEAL::-0.292893 -0.292893 0.0179840
+DEAL::0.292893 -0.292893 0.0179840
+DEAL::-0.292893 0.292893 0.0179840
+DEAL::0.292893 0.292893 0.0179840
+DEAL::0.707107 -0.707107 0
+DEAL::0.707107 0.707107 0
+DEAL::0.292893 -0.292893 0.0179840
+DEAL::0.292893 0.292893 0.0179840
+DEAL::-0.707107 0.707107 0
+DEAL::-0.292893 0.292893 0.0179840
+DEAL::0.707107 0.707107 0
+DEAL::0.292893 0.292893 0.0179840
+DEAL::0
+DEAL::0
+DEAL::0.166690
+DEAL::0.0709393
+DEAL::0.440214
+DEAL::-0.211325 -0.211325 -0.211325 -0.104038
+DEAL::0.211325 -0.211325 -0.211325 -0.104038
+DEAL::-0.211325 0.211325 -0.211325 -0.104038
+DEAL::0.211325 0.211325 -0.211325 -0.104038
+DEAL::-0.211325 -0.211325 0.211325 -0.104038
+DEAL::0.211325 -0.211325 0.211325 -0.104038
+DEAL::-0.211325 0.211325 0.211325 -0.104038
+DEAL::0.211325 0.211325 0.211325 -0.104038
+DEAL::-0.577350 -0.577350 -0.577350 0.115757
+DEAL::0.577350 -0.577350 -0.577350 0.115757
+DEAL::-0.577350 0.577350 -0.577350 0.115757
+DEAL::0.577350 0.577350 -0.577350 0.115757
+DEAL::-0.211325 -0.211325 -0.211325 -0.104038
+DEAL::0.211325 -0.211325 -0.211325 -0.104038
+DEAL::-0.211325 0.211325 -0.211325 -0.104038
+DEAL::0.211325 0.211325 -0.211325 -0.104038
+DEAL::0.577350 -0.577350 -0.577350 0.115757
+DEAL::0.577350 0.577350 -0.577350 0.115757
+DEAL::0.211325 -0.211325 -0.211325 -0.104038
+DEAL::0.211325 0.211325 -0.211325 -0.104038
+DEAL::0.577350 -0.577350 0.577350 0.115757
+DEAL::0.577350 0.577350 0.577350 0.115757
+DEAL::0.211325 -0.211325 0.211325 -0.104038
+DEAL::0.211325 0.211325 0.211325 -0.104038
+DEAL::-0.577350 -0.577350 0.577350 0.115757
+DEAL::0.577350 -0.577350 0.577350 0.115757
+DEAL::-0.211325 -0.211325 0.211325 -0.104038
+DEAL::0.211325 -0.211325 0.211325 -0.104038
+DEAL::-0.577350 0.577350 0.577350 0.115757
+DEAL::0.577350 0.577350 0.577350 0.115757
+DEAL::-0.211325 0.211325 0.211325 -0.104038
+DEAL::0.211325 0.211325 0.211325 -0.104038
+DEAL::-0.577350 -0.577350 -0.577350 0.115757
+DEAL::-0.211325 -0.211325 -0.211325 -0.104038
+DEAL::-0.577350 0.577350 -0.577350 0.115757
+DEAL::-0.211325 0.211325 -0.211325 -0.104038
+DEAL::-0.577350 -0.577350 0.577350 0.115757
+DEAL::-0.211325 -0.211325 0.211325 -0.104038
+DEAL::-0.577350 0.577350 0.577350 0.115757
+DEAL::-0.211325 0.211325 0.211325 -0.104038
+DEAL::-0.577350 -0.577350 -0.577350 0.115757
+DEAL::0.577350 -0.577350 -0.577350 0.115757
+DEAL::-0.211325 -0.211325 -0.211325 -0.104038
+DEAL::0.211325 -0.211325 -0.211325 -0.104038
+DEAL::-0.577350 -0.577350 0.577350 0.115757
+DEAL::0.577350 -0.577350 0.577350 0.115757
+DEAL::-0.211325 -0.211325 0.211325 -0.104038
+DEAL::0.211325 -0.211325 0.211325 -0.104038
+DEAL::-0.577350 0.577350 -0.577350 0.115757
+DEAL::-0.211325 0.211325 -0.211325 -0.104038
+DEAL::0.577350 0.577350 -0.577350 0.115757
+DEAL::0.211325 0.211325 -0.211325 -0.104038
+DEAL::-0.577350 0.577350 0.577350 0.115757
+DEAL::-0.211325 0.211325 0.211325 -0.104038
+DEAL::0.577350 0.577350 0.577350 0.115757
+DEAL::0.211325 0.211325 0.211325 -0.104038
+DEAL::0.0709393
+DEAL::-0.211325 -0.211325 -0.211325 0.0250808
+DEAL::0.211325 -0.211325 -0.211325 0.0250808
+DEAL::-0.211325 0.211325 -0.211325 0.0250808
+DEAL::0.211325 0.211325 -0.211325 0.0250808
+DEAL::-0.211325 -0.211325 0.211325 0.0250808
+DEAL::0.211325 -0.211325 0.211325 0.0250808
+DEAL::-0.211325 0.211325 0.211325 0.0250808
+DEAL::0.211325 0.211325 0.211325 0.0250808
+DEAL::-0.577350 -0.577350 -0.577350 0
+DEAL::0.577350 -0.577350 -0.577350 0
+DEAL::-0.577350 0.577350 -0.577350 0
+DEAL::0.577350 0.577350 -0.577350 0
+DEAL::-0.211325 -0.211325 -0.211325 0.0250808
+DEAL::0.211325 -0.211325 -0.211325 0.0250808
+DEAL::-0.211325 0.211325 -0.211325 0.0250808
+DEAL::0.211325 0.211325 -0.211325 0.0250808
+DEAL::0.577350 -0.577350 -0.577350 0
+DEAL::0.577350 0.577350 -0.577350 0
+DEAL::0.211325 -0.211325 -0.211325 0.0250808
+DEAL::0.211325 0.211325 -0.211325 0.0250808
+DEAL::0.577350 -0.577350 0.577350 0
+DEAL::0.577350 0.577350 0.577350 0
+DEAL::0.211325 -0.211325 0.211325 0.0250808
+DEAL::0.211325 0.211325 0.211325 0.0250808
+DEAL::-0.577350 -0.577350 0.577350 0
+DEAL::0.577350 -0.577350 0.577350 0
+DEAL::-0.211325 -0.211325 0.211325 0.0250808
+DEAL::0.211325 -0.211325 0.211325 0.0250808
+DEAL::-0.577350 0.577350 0.577350 0
+DEAL::0.577350 0.577350 0.577350 0
+DEAL::-0.211325 0.211325 0.211325 0.0250808
+DEAL::0.211325 0.211325 0.211325 0.0250808
+DEAL::-0.577350 -0.577350 -0.577350 0
+DEAL::-0.211325 -0.211325 -0.211325 0.0250808
+DEAL::-0.577350 0.577350 -0.577350 0
+DEAL::-0.211325 0.211325 -0.211325 0.0250808
+DEAL::-0.577350 -0.577350 0.577350 0
+DEAL::-0.211325 -0.211325 0.211325 0.0250808
+DEAL::-0.577350 0.577350 0.577350 0
+DEAL::-0.211325 0.211325 0.211325 0.0250808
+DEAL::-0.577350 -0.577350 -0.577350 0
+DEAL::0.577350 -0.577350 -0.577350 0
+DEAL::-0.211325 -0.211325 -0.211325 0.0250808
+DEAL::0.211325 -0.211325 -0.211325 0.0250808
+DEAL::-0.577350 -0.577350 0.577350 0
+DEAL::0.577350 -0.577350 0.577350 0
+DEAL::-0.211325 -0.211325 0.211325 0.0250808
+DEAL::0.211325 -0.211325 0.211325 0.0250808
+DEAL::-0.577350 0.577350 -0.577350 0
+DEAL::-0.211325 0.211325 -0.211325 0.0250808
+DEAL::0.577350 0.577350 -0.577350 0
+DEAL::0.211325 0.211325 -0.211325 0.0250808
+DEAL::-0.577350 0.577350 0.577350 0
+DEAL::-0.211325 0.211325 0.211325 0.0250808
+DEAL::0.577350 0.577350 0.577350 0
+DEAL::0.211325 0.211325 0.211325 0.0250808
diff --git a/tests/hp/project_01_curved_boundary/cmp/i686-pc-linux-gnu+gcc4.2 b/tests/hp/project_01_curved_boundary/cmp/i686-pc-linux-gnu+gcc4.2
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_01_curved_boundary/cmp/i686-pc-linux-gnu+gcc4.2
@@ -0,0 +1,577 @@
+
+DEAL::0.00000 0.00000 0
+DEAL::0.250000 0.00000 0
+DEAL::0.00000 0.250000 0
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.250000 0.00000 0
+DEAL::0.500000 0.00000 0
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.00000 0.250000 0
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.00000 0.500000 0
+DEAL::0.250000 0.500000 0.125000
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.250000 0.500000 0.125000
+DEAL::0.500000 0.500000 0.250000
+DEAL::0.500000 0.00000 0
+DEAL::0.750000 0.00000 0
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.750000 0.250000 0.187500
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diff --git a/tests/hp/project_01_curved_boundary/cmp/i686-pc-linux-gnu+gcc4.3 b/tests/hp/project_01_curved_boundary/cmp/i686-pc-linux-gnu+gcc4.3
new file mode 100644
index 0000000000..e6e400da89
--- /dev/null
+++ b/tests/hp/project_01_curved_boundary/cmp/i686-pc-linux-gnu+gcc4.3
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diff --git a/tests/hp/project_01_curved_boundary/cmp/i686-pc-linux-gnu+gcc4.4 b/tests/hp/project_01_curved_boundary/cmp/i686-pc-linux-gnu+gcc4.4
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_01_curved_boundary/cmp/i686-pc-linux-gnu+gcc4.4
@@ -0,0 +1,577 @@
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diff --git a/tests/hp/project_01_curved_boundary/cmp/powerpc-apple-darwin8.8.0+gcc4.0 b/tests/hp/project_01_curved_boundary/cmp/powerpc-apple-darwin8.8.0+gcc4.0
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_01_curved_boundary/cmp/powerpc-apple-darwin8.8.0+gcc4.0
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diff --git a/tests/hp/project_01_curved_boundary/cmp/x86_64-unknown-linux-gnu+gcc4.1 b/tests/hp/project_01_curved_boundary/cmp/x86_64-unknown-linux-gnu+gcc4.1
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_01_curved_boundary/cmp/x86_64-unknown-linux-gnu+gcc4.1
@@ -0,0 +1,577 @@
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+DEAL::0.500000 0.750000 1.00000 0.375000
+DEAL::0.00000 0.750000 0.750000 0
+DEAL::0.250000 0.750000 0.750000 0.140625
+DEAL::0.00000 1.00000 0.750000 0
+DEAL::0.250000 1.00000 0.750000 0.187500
+DEAL::0.00000 0.750000 1.00000 0
+DEAL::0.250000 0.750000 1.00000 0.187500
+DEAL::0.00000 1.00000 1.00000 0
+DEAL::0.250000 1.00000 1.00000 0.250000
+DEAL::0.250000 0.750000 0.750000 0.140625
+DEAL::0.500000 0.750000 0.750000 0.281250
+DEAL::0.250000 1.00000 0.750000 0.187500
+DEAL::0.500000 1.00000 0.750000 0.375000
+DEAL::0.250000 0.750000 1.00000 0.187500
+DEAL::0.500000 0.750000 1.00000 0.375000
+DEAL::0.250000 1.00000 1.00000 0.250000
+DEAL::0.500000 1.00000 1.00000 0.500000
+DEAL::0.500000 0.500000 0.500000 0.125000
+DEAL::0.750000 0.500000 0.500000 0.187500
+DEAL::0.500000 0.750000 0.500000 0.187500
+DEAL::0.750000 0.750000 0.500000 0.281250
+DEAL::0.500000 0.500000 0.750000 0.187500
+DEAL::0.750000 0.500000 0.750000 0.281250
+DEAL::0.500000 0.750000 0.750000 0.281250
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::0.750000 0.500000 0.500000 0.187500
+DEAL::1.00000 0.500000 0.500000 0.250000
+DEAL::0.750000 0.750000 0.500000 0.281250
+DEAL::1.00000 0.750000 0.500000 0.375000
+DEAL::0.750000 0.500000 0.750000 0.281250
+DEAL::1.00000 0.500000 0.750000 0.375000
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::1.00000 0.750000 0.750000 0.562500
+DEAL::0.500000 0.750000 0.500000 0.187500
+DEAL::0.750000 0.750000 0.500000 0.281250
+DEAL::0.500000 1.00000 0.500000 0.250000
+DEAL::0.750000 1.00000 0.500000 0.375000
+DEAL::0.500000 0.750000 0.750000 0.281250
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::0.500000 1.00000 0.750000 0.375000
+DEAL::0.750000 1.00000 0.750000 0.562500
+DEAL::0.750000 0.750000 0.500000 0.281250
+DEAL::1.00000 0.750000 0.500000 0.375000
+DEAL::0.750000 1.00000 0.500000 0.375000
+DEAL::1.00000 1.00000 0.500000 0.500000
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::1.00000 0.750000 0.750000 0.562500
+DEAL::0.750000 1.00000 0.750000 0.562500
+DEAL::1.00000 1.00000 0.750000 0.750000
+DEAL::0.500000 0.500000 0.750000 0.187500
+DEAL::0.750000 0.500000 0.750000 0.281250
+DEAL::0.500000 0.750000 0.750000 0.281250
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::0.500000 0.500000 1.00000 0.250000
+DEAL::0.750000 0.500000 1.00000 0.375000
+DEAL::0.500000 0.750000 1.00000 0.375000
+DEAL::0.750000 0.750000 1.00000 0.562500
+DEAL::0.750000 0.500000 0.750000 0.281250
+DEAL::1.00000 0.500000 0.750000 0.375000
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::1.00000 0.750000 0.750000 0.562500
+DEAL::0.750000 0.500000 1.00000 0.375000
+DEAL::1.00000 0.500000 1.00000 0.500000
+DEAL::0.750000 0.750000 1.00000 0.562500
+DEAL::1.00000 0.750000 1.00000 0.750000
+DEAL::0.500000 0.750000 0.750000 0.281250
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::0.500000 1.00000 0.750000 0.375000
+DEAL::0.750000 1.00000 0.750000 0.562500
+DEAL::0.500000 0.750000 1.00000 0.375000
+DEAL::0.750000 0.750000 1.00000 0.562500
+DEAL::0.500000 1.00000 1.00000 0.500000
+DEAL::0.750000 1.00000 1.00000 0.750000
+DEAL::0.750000 0.750000 0.750000 0.421875
+DEAL::1.00000 0.750000 0.750000 0.562500
+DEAL::0.750000 1.00000 0.750000 0.562500
+DEAL::1.00000 1.00000 0.750000 0.750000
+DEAL::0.750000 0.750000 1.00000 0.562500
+DEAL::1.00000 0.750000 1.00000 0.750000
+DEAL::0.750000 1.00000 1.00000 0.750000
+DEAL::1.00000 1.00000 1.00000 1.00000
diff --git a/tests/hp/project_02.cc b/tests/hp/project_02.cc
new file mode 100644
index 0000000000..3e4c246ef1
--- /dev/null
+++ b/tests/hp/project_02.cc
@@ -0,0 +1,111 @@
+// ---------------------------------------------------------------------
+// $Id$
+//
+// Copyright (C) 2006 - 2013 by the deal.II authors
+//
+// This file is part of the deal.II library.
+//
+// The deal.II library is free software; you can use it, redistribute
+// it, and/or modify it under the terms of the GNU Lesser General
+// Public License as published by the Free Software Foundation; either
+// version 2.1 of the License, or (at your option) any later version.
+// The full text of the license can be found in the file LICENSE at
+// the top level of the deal.II distribution.
+//
+// ---------------------------------------------------------------------
+
+
+// check VectorTools::project for BlockVector<double> arguments and hp::
+
+
+#include "../tests.h"
+#include <deal.II/base/function.h>
+#include <deal.II/base/quadrature_lib.h>
+#include <deal.II/lac/block_vector.h>
+#include <deal.II/grid/tria.h>
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_tools.h>
+#include <deal.II/dofs/dof_handler.h>
+#include <deal.II/hp/dof_handler.h>
+#include <deal.II/hp/q_collection.h>
+#include <deal.II/lac/constraint_matrix.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/numerics/vector_tools.h>
+#include <deal.II/dofs/dof_accessor.h>
+
+#include <fstream>
+
+
+// define the multi-linear function x or x*y or x*y*z that we will
+// subsequently project onto the ansatz space
+template <int dim>
+class F : public Function<dim>
+{
+public:
+  virtual double value (const Point<dim> &p,
+                        const unsigned int = 0) const
+  {
+    double s = 1;
+    for (unsigned int i=0; i<dim; ++i)
+      s *= p[i];
+    return s;
+  }
+};
+
+
+template<int dim>
+void test()
+{
+  // create 2 triangulations with the
+  // same coarse grid, and refine
+  // them differently
+  Triangulation<dim> tria;
+
+  GridGenerator::hyper_cube (tria);
+  tria.refine_global (2);
+
+  hp::FECollection<dim> fe;
+  fe.push_back(FE_Q<dim>(1));
+  hp::DoFHandler<dim> dh (tria);
+  dh.distribute_dofs (fe);
+
+  BlockVector<double> v(2);
+  v.block(0).reinit (dh.n_dofs()/2);
+  v.block(1).reinit (dh.n_dofs()-dh.n_dofs()/2);
+  v.collect_sizes();
+
+  ConstraintMatrix cm;
+  cm.close ();
+  VectorTools::project (dh, cm, hp::QCollection<dim>(QGauss<dim>(3)), F<dim>(),
+                        v);
+
+  for (typename hp::DoFHandler<dim>::active_cell_iterator cell=dh.begin_active();
+       cell != dh.end(); ++cell)
+    for (unsigned int i=0; i<GeometryInfo<dim>::vertices_per_cell; ++i)
+      {
+        // check that the error is
+        // somewhat small. it won't
+        // be zero since we project
+        // and do not interpolate
+        Assert (std::fabs (v(cell->vertex_dof_index(i,0,cell->active_fe_index())) -
+                           F<dim>().value (cell->vertex(i)))
+                < 1e-4,
+                ExcInternalError());
+        deallog << cell->vertex(i) << ' ' << v(cell->vertex_dof_index(i,0,cell->active_fe_index()))
+                << std::endl;
+      }
+}
+
+
+int main()
+{
+  std::ofstream logfile ("project_02/output");
+  deallog.attach(logfile);
+  deallog.depth_console(0);
+  deallog.threshold_double(1.e-10);
+
+  test<1>();
+  test<2>();
+  test<3>();
+}
+
diff --git a/tests/hp/project_02/cmp/generic b/tests/hp/project_02/cmp/generic
new file mode 100644
index 0000000000..8889fb7a29
--- /dev/null
+++ b/tests/hp/project_02/cmp/generic
@@ -0,0 +1,585 @@
+
+DEAL::0.00000 0
+DEAL::0.250000 0.250000
+DEAL::0.250000 0.250000
+DEAL::0.500000 0.500000
+DEAL::0.500000 0.500000
+DEAL::0.750000 0.750000
+DEAL::0.750000 0.750000
+DEAL::1.00000 1.00000
+DEAL::0.00000 0.00000 0
+DEAL::0.250000 0.00000 0
+DEAL::0.00000 0.250000 0
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.250000 0.00000 0
+DEAL::0.500000 0.00000 0
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.00000 0.250000 0
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.00000 0.500000 0
+DEAL::0.250000 0.500000 0.125000
+DEAL::0.250000 0.250000 0.0625000
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.250000 0.500000 0.125000
+DEAL::0.500000 0.500000 0.250000
+DEAL::0.500000 0.00000 0
+DEAL::0.750000 0.00000 0
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.750000 0.250000 0.187500
+DEAL::0.750000 0.00000 0
+DEAL::1.00000 0.00000 0
+DEAL::0.750000 0.250000 0.187500
+DEAL::1.00000 0.250000 0.250000
+DEAL::0.500000 0.250000 0.125000
+DEAL::0.750000 0.250000 0.187500
+DEAL::0.500000 0.500000 0.250000
+DEAL::0.750000 0.500000 0.375000
+DEAL::0.750000 0.250000 0.187500
+DEAL::1.00000 0.250000 0.250000
+DEAL::0.750000 0.500000 0.375000
+DEAL::1.00000 0.500000 0.500000
+DEAL::0.00000 0.500000 0
+DEAL::0.250000 0.500000 0.125000
+DEAL::0.00000 0.750000 0
+DEAL::0.250000 0.750000 0.187500
+DEAL::0.250000 0.500000 0.125000
+DEAL::0.500000 0.500000 0.250000
+DEAL::0.250000 0.750000 0.187500
+DEAL::0.500000 0.750000 0.375000
+DEAL::0.00000 0.750000 0
+DEAL::0.250000 0.750000 0.187500
+DEAL::0.00000 1.00000 0
+DEAL::0.250000 1.00000 0.250000
+DEAL::0.250000 0.750000 0.187500
+DEAL::0.500000 0.750000 0.375000
+DEAL::0.250000 1.00000 0.250000
+DEAL::0.500000 1.00000 0.500000
+DEAL::0.500000 0.500000 0.250000
+DEAL::0.750000 0.500000 0.375000
+DEAL::0.500000 0.750000 0.375000
+DEAL::0.750000 0.750000 0.562500
+DEAL::0.750000 0.500000 0.375000
+DEAL::1.00000 0.500000 0.500000
+DEAL::0.750000 0.750000 0.562500
+DEAL::1.00000 0.750000 0.750000
+DEAL::0.500000 0.750000 0.375000
+DEAL::0.750000 0.750000 0.562500
+DEAL::0.500000 1.00000 0.500000
+DEAL::0.750000 1.00000 0.750000
+DEAL::0.750000 0.750000 0.562500
+DEAL::1.00000 0.750000 0.750000
+DEAL::0.750000 1.00000 0.750000
+DEAL::1.00000 1.00000 1.00000
+DEAL::0.00000 0.00000 0.00000 0
+DEAL::0.250000 0.00000 0.00000 0
+DEAL::0.00000 0.250000 0.00000 0
+DEAL::0.250000 0.250000 0.00000 0
+DEAL::0.00000 0.00000 0.250000 0
+DEAL::0.250000 0.00000 0.250000 0
+DEAL::0.00000 0.250000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.250000 0.00000 0.00000 0
+DEAL::0.500000 0.00000 0.00000 0
+DEAL::0.250000 0.250000 0.00000 0
+DEAL::0.500000 0.250000 0.00000 0
+DEAL::0.250000 0.00000 0.250000 0
+DEAL::0.500000 0.00000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.500000 0.250000 0.250000 0.0312500
+DEAL::0.00000 0.250000 0.00000 0
+DEAL::0.250000 0.250000 0.00000 0
+DEAL::0.00000 0.500000 0.00000 0
+DEAL::0.250000 0.500000 0.00000 0
+DEAL::0.00000 0.250000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.00000 0.500000 0.250000 0
+DEAL::0.250000 0.500000 0.250000 0.0312500
+DEAL::0.250000 0.250000 0.00000 0
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+DEAL::0.250000 0.500000 0.00000 0
+DEAL::0.500000 0.500000 0.00000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
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+DEAL::0.250000 0.500000 0.250000 0.0312500
+DEAL::0.500000 0.500000 0.250000 0.0625000
+DEAL::0.00000 0.00000 0.250000 0
+DEAL::0.250000 0.00000 0.250000 0
+DEAL::0.00000 0.250000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.00000 0.00000 0.500000 0
+DEAL::0.250000 0.00000 0.500000 0
+DEAL::0.00000 0.250000 0.500000 0
+DEAL::0.250000 0.250000 0.500000 0.0312500
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+DEAL::0.500000 0.00000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.500000 0.250000 0.250000 0.0312500
+DEAL::0.250000 0.00000 0.500000 0
+DEAL::0.500000 0.00000 0.500000 0
+DEAL::0.250000 0.250000 0.500000 0.0312500
+DEAL::0.500000 0.250000 0.500000 0.0625000
+DEAL::0.00000 0.250000 0.250000 0
+DEAL::0.250000 0.250000 0.250000 0.0156250
+DEAL::0.00000 0.500000 0.250000 0
+DEAL::0.250000 0.500000 0.250000 0.0312500
+DEAL::0.00000 0.250000 0.500000 0
+DEAL::0.250000 0.250000 0.500000 0.0312500
+DEAL::0.00000 0.500000 0.500000 0
+DEAL::0.250000 0.500000 0.500000 0.0625000
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+DEAL::0.500000 0.500000 0.250000 0.0625000
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+DEAL::0.750000 0.00000 0.00000 0
+DEAL::1.00000 0.00000 0.00000 0
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+DEAL::1.00000 0.00000 0.250000 0
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+DEAL::0.750000 0.250000 0.250000 0.0468750
+DEAL::0.500000 0.500000 0.250000 0.0625000
+DEAL::0.750000 0.500000 0.250000 0.0937500
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+DEAL::1.00000 0.500000 0.00000 0
+DEAL::0.750000 0.250000 0.250000 0.0468750
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diff --git a/tests/hp/project_02/cmp/i686-pc-linux-gnu+gcc4.2 b/tests/hp/project_02/cmp/i686-pc-linux-gnu+gcc4.2
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_02/cmp/i686-pc-linux-gnu+gcc4.2
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diff --git a/tests/hp/project_02/cmp/i686-pc-linux-gnu+gcc4.3 b/tests/hp/project_02/cmp/i686-pc-linux-gnu+gcc4.3
new file mode 100644
index 0000000000..e6e400da89
--- /dev/null
+++ b/tests/hp/project_02/cmp/i686-pc-linux-gnu+gcc4.3
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diff --git a/tests/hp/project_02/cmp/i686-pc-linux-gnu+gcc4.4 b/tests/hp/project_02/cmp/i686-pc-linux-gnu+gcc4.4
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_02/cmp/i686-pc-linux-gnu+gcc4.4
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diff --git a/tests/hp/project_02/cmp/powerpc-apple-darwin8.8.0+gcc4.0 b/tests/hp/project_02/cmp/powerpc-apple-darwin8.8.0+gcc4.0
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_02/cmp/powerpc-apple-darwin8.8.0+gcc4.0
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diff --git a/tests/hp/project_02/cmp/x86_64-unknown-linux-gnu+gcc4.1 b/tests/hp/project_02/cmp/x86_64-unknown-linux-gnu+gcc4.1
new file mode 100644
index 0000000000..7e12d07d2a
--- /dev/null
+++ b/tests/hp/project_02/cmp/x86_64-unknown-linux-gnu+gcc4.1
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