From 3463a43b7e0f722e09417dc2fd963f6525582c11 Mon Sep 17 00:00:00 2001
From: Peter Munch <peterrmuench@gmail.com>
Date: Sun, 28 May 2023 12:23:04 +0200
Subject: [PATCH] MGTwoLevelTransferNonNested: enable simplex

---
 doc/news/changes/minor/20230802Munch          |   3 +
 .../mg_transfer_global_coarsening.templates.h |  38 ++--
 .../mg_transfer_a_05.cc                       | 164 +++++++++++++++++
 ...nsfer_a_05.with_p4est=true.mpirun=1.output |  37 ++++
 .../mg_transfer_util.h                        |   3 +-
 .../non_nested_multigrid_01.cc                |   6 +-
 ...grid_01.mpirun=1.with_trilinos=true.output |   6 +
 .../non_nested_transfer_05.cc                 | 173 ++++++++++++++++++
 ...ransfer_05.with_p4est=true.mpirun=1.output |  37 ++++
 9 files changed, 451 insertions(+), 16 deletions(-)
 create mode 100644 doc/news/changes/minor/20230802Munch
 create mode 100644 tests/multigrid-global-coarsening/mg_transfer_a_05.cc
 create mode 100644 tests/multigrid-global-coarsening/mg_transfer_a_05.with_p4est=true.mpirun=1.output
 create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_05.cc
 create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_05.with_p4est=true.mpirun=1.output

diff --git a/doc/news/changes/minor/20230802Munch b/doc/news/changes/minor/20230802Munch
new file mode 100644
index 0000000000..d334e08bd6
--- /dev/null
+++ b/doc/news/changes/minor/20230802Munch
@@ -0,0 +1,3 @@
+New: MGTwoLevelTransferNonNested now also supports FE_SimplexP.
+<br>
+(Peter Munch, Marco Feder, 2023/08/02)
diff --git a/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h b/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h
index aad5cb6f42..3369e456f6 100644
--- a/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h
+++ b/include/deal.II/multigrid/mg_transfer_global_coarsening.templates.h
@@ -31,6 +31,7 @@
 #include <deal.II/dofs/dof_tools.h>
 
 #include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_simplex_p.h>
 #include <deal.II/fe/fe_system.h>
 #include <deal.II/fe/fe_tools.h>
 #include <deal.II/fe/fe_values.h>
@@ -4399,9 +4400,12 @@ namespace internal
                                           unit_points.end());
         }
 
+      typename NonMatching::MappingInfo<dim, dim, Number>::AdditionalData ad;
+      ad.store_cells = true;
+
       auto mapping_info =
         std::make_shared<NonMatching::MappingInfo<dim, dim, Number>>(
-          rpe.get_mapping(), update_values);
+          rpe.get_mapping(), update_values, ad);
       mapping_info->reinit_cells(cell_iterators, unit_points_vector);
 
       return mapping_info;
@@ -4436,18 +4440,26 @@ namespace internal
       Assert((dynamic_cast<const FE_DGQ<dim, spacedim> *>(
                 &dof_handler.get_fe().base_element(0)) != nullptr) ||
                (dynamic_cast<const FE_Q<dim, spacedim> *>(
+                  &dof_handler.get_fe().base_element(0)) != nullptr) ||
+               (dynamic_cast<const FE_SimplexP<dim, spacedim> *>(
+                  &dof_handler.get_fe().base_element(0)) != nullptr) ||
+               (dynamic_cast<const FE_SimplexDGP<dim, spacedim> *>(
                   &dof_handler.get_fe().base_element(0)) != nullptr),
+             ExcMessage("Function expects FE_DGQ, FE_Q, FE_SimplexP, or "
+                        "FE_SimplexDGP in dof_handler."));
+
+      Assert((dynamic_cast<const FE_Q<dim, spacedim> *>(
+                &dof_handler_support_points.get_fe()) != nullptr ||
+              dynamic_cast<const FE_SimplexP<dim, spacedim> *>(
+                &dof_handler_support_points.get_fe()) != nullptr) ||
+               ((dynamic_cast<const FE_DGQ<dim, spacedim> *>(
+                   &dof_handler_support_points.get_fe()) != nullptr ||
+                 dynamic_cast<const FE_SimplexDGP<dim, spacedim> *>(
+                   &dof_handler_support_points.get_fe()) != nullptr) &&
+                dof_handler_support_points.get_fe().degree == 0),
              ExcMessage(
-               "Function expects FE_DGQ of FE_Q elements in dof_handler."));
-
-      Assert(
-        (dynamic_cast<const FE_Q<dim, spacedim> *>(
-           &dof_handler_support_points.get_fe()) != nullptr) ||
-          ((dynamic_cast<const FE_DGQ<dim, spacedim> *>(
-              &dof_handler_support_points.get_fe()) != nullptr) &&
-           dof_handler_support_points.get_fe().degree == 0),
-        ExcMessage(
-          "Function expects FE_DGQ&&degree==0 or FE_Q in dof_handler_support_points."));
+               "Function expects (FE_DGQ||FE_SimplexDGP)&&degree==0 or "
+               "(FE_Q||FE_SimplexP) in dof_handler_support_points."));
 
       Assert(
         dof_handler_support_points.get_fe().n_components() == 1,
@@ -4859,6 +4871,10 @@ MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
                                                 n_components);
   else if (const auto fe = dynamic_cast<const FE_DGQ<dim> *>(&fe_base))
     fe_coarse = fe->clone();
+  else if (const auto fe = dynamic_cast<const FE_SimplexP<dim> *>(&fe_base))
+    fe_coarse = fe->clone();
+  else if (const auto fe = dynamic_cast<const FE_SimplexDGP<dim> *>(&fe_base))
+    fe_coarse = fe->clone();
   else
     AssertThrow(false, ExcMessage(dof_handler_coarse.get_fe().get_name()));
 }
diff --git a/tests/multigrid-global-coarsening/mg_transfer_a_05.cc b/tests/multigrid-global-coarsening/mg_transfer_a_05.cc
new file mode 100644
index 0000000000..3bba3c378f
--- /dev/null
+++ b/tests/multigrid-global-coarsening/mg_transfer_a_05.cc
@@ -0,0 +1,164 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2020 - 2022 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.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+/**
+ * Test prolongation with uniformly refined meshes.
+ *
+ * To compare with non_nested_transfer_04.
+ */
+
+#include <deal.II/base/conditional_ostream.h>
+#include <deal.II/base/function.h>
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/mpi.h>
+#include <deal.II/base/quadrature_lib.h>
+
+#include <deal.II/distributed/tria.h>
+
+#include <deal.II/dofs/dof_handler.h>
+
+#include <deal.II/fe/fe_dgq.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_simplex_p.h>
+#include <deal.II/fe/fe_tools.h>
+#include <deal.II/fe/mapping_q.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_out.h>
+
+#include <deal.II/matrix_free/fe_evaluation.h>
+#include <deal.II/matrix_free/matrix_free.h>
+
+#include <deal.II/multigrid/mg_constrained_dofs.h>
+#include <deal.II/multigrid/mg_transfer_global_coarsening.h>
+
+#include "mg_transfer_util.h"
+
+using namespace dealii;
+
+template <int dim>
+class RightHandSideFunction : public Function<dim>
+{
+public:
+  RightHandSideFunction()
+    : Function<dim>(1)
+  {}
+
+  virtual double
+  value(const Point<dim> &p, const unsigned int component = 0) const
+  {
+    (void)component;
+    return p[0];
+  }
+};
+
+template <int dim, typename Number>
+void
+do_test(const FiniteElement<dim>    &fe_fine,
+        const FiniteElement<dim>    &fe_coarse,
+        const Function<dim, Number> &function)
+{
+  // create coarse grid
+  Triangulation<dim> tria_coarse; // TODO
+  if (fe_coarse.reference_cell().is_simplex())
+    GridGenerator::subdivided_hyper_cube_with_simplices(tria_coarse, 1);
+  else
+    GridGenerator::hyper_cube(tria_coarse);
+  tria_coarse.refine_global();
+
+  // create fine grid
+  Triangulation<dim> tria_fine; // TODO
+
+  if (fe_fine.reference_cell().is_simplex())
+    GridGenerator::subdivided_hyper_cube_with_simplices(tria_fine, 1);
+  else
+    GridGenerator::hyper_cube(tria_fine);
+  tria_fine.refine_global();
+  tria_fine.refine_global();
+
+  // setup dof-handlers
+  DoFHandler<dim> dof_handler_fine(tria_fine);
+  dof_handler_fine.distribute_dofs(fe_fine);
+
+  DoFHandler<dim> dof_handler_coarse(tria_coarse);
+  dof_handler_coarse.distribute_dofs(fe_coarse);
+
+  // setup constraint matrix
+  AffineConstraints<Number> constraint_coarse;
+  constraint_coarse.close();
+
+  AffineConstraints<Number> constraint_fine;
+  constraint_fine.close();
+
+  // setup transfer operator
+  MGTwoLevelTransfer<dim, LinearAlgebra::distributed::Vector<Number>> transfer;
+
+  transfer.reinit(dof_handler_fine,
+                  dof_handler_coarse,
+                  constraint_fine,
+                  constraint_coarse);
+
+  test_non_nested_transfer(transfer,
+                           dof_handler_fine,
+                           dof_handler_coarse,
+                           function);
+}
+
+template <int dim, typename Number>
+void
+test(int                          fe_degree,
+     const Function<dim, Number> &function,
+     const bool                   do_simplex_mesh)
+{
+  const auto str_fine   = std::to_string(fe_degree);
+  const auto str_coarse = std::to_string(fe_degree);
+
+  if ((fe_degree > 0) && (do_simplex_mesh == false))
+    {
+      deallog.push("CG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
+      do_test<dim, double>(FE_Q<dim>(fe_degree),
+                           FE_Q<dim>(fe_degree),
+                           function);
+      deallog.pop();
+    }
+
+  if ((fe_degree > 0) && do_simplex_mesh)
+    {
+      deallog.push("CG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
+      do_test<dim, double>(FE_SimplexP<dim>(fe_degree),
+                           FE_SimplexP<dim>(fe_degree),
+                           function);
+      deallog.pop();
+    }
+}
+
+int
+main(int argc, char **argv)
+{
+  Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1);
+  MPILogInitAll                    all;
+
+  deallog.precision(8);
+
+  // Functions::ConstantFunction<2, double> fu(1.);
+  RightHandSideFunction<2> fu;
+
+  for (unsigned int i = 0; i <= 4; ++i)
+    test<2, double>(i, fu, false);
+
+  for (unsigned int i = 0; i <= 2; ++i)
+    test<2, double>(i, fu, true);
+}
diff --git a/tests/multigrid-global-coarsening/mg_transfer_a_05.with_p4est=true.mpirun=1.output b/tests/multigrid-global-coarsening/mg_transfer_a_05.with_p4est=true.mpirun=1.output
new file mode 100644
index 0000000000..5c952a2813
--- /dev/null
+++ b/tests/multigrid-global-coarsening/mg_transfer_a_05.with_p4est=true.mpirun=1.output
@@ -0,0 +1,37 @@
+
+DEAL:0:CG<2>(1)<->CG<2>(1)::3.0618622
+DEAL:0:CG<2>(1)<->CG<2>(1)::0.0000000 0.50000000 0.0000000 0.50000000 1.0000000 1.0000000 0.0000000 0.50000000 1.0000000 
+DEAL:0:CG<2>(1)<->CG<2>(1)::0.0000000 0.25000000 0.0000000 0.25000000 0.50000000 0.50000000 0.0000000 0.25000000 0.50000000 0.75000000 0.75000000 1.0000000 1.0000000 0.75000000 1.0000000 0.0000000 0.25000000 0.50000000 0.0000000 0.25000000 0.50000000 0.75000000 1.0000000 0.75000000 1.0000000 
+DEAL:0:CG<2>(1)<->CG<2>(1)::4.9702238
+DEAL:0:CG<2>(1)<->CG<2>(1)::0.0000000 0.25000000 0.0000000 0.25000000 0.50000000 0.50000000 0.0000000 0.25000000 0.50000000 0.75000000 0.75000000 1.0000000 1.0000000 0.75000000 1.0000000 0.0000000 0.25000000 0.50000000 0.0000000 0.25000000 0.50000000 0.75000000 1.0000000 0.75000000 1.0000000 
+DEAL:0:CG<2>(1)<->CG<2>(1)::0.18750000 1.5000000 0.25000000 2.0000000 2.0625000 2.7500000 0.18750000 1.5000000 2.0625000 
+DEAL:0:CG<2>(2)<->CG<2>(2)::5.3560713
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+DEAL:0:CG<2>(2)<->CG<2>(2)::0.0000000 0.25000000 0.0000000 0.25000000 0.0000000 0.25000000 0.12500000 0.12500000 0.12500000 0.50000000 0.50000000 0.50000000 0.37500000 0.37500000 0.37500000 0.0000000 0.25000000 0.0000000 0.25000000 0.12500000 0.12500000 0.50000000 0.50000000 0.37500000 0.37500000 0.75000000 0.75000000 0.75000000 0.62500000 0.62500000 0.62500000 1.0000000 1.0000000 1.0000000 0.87500000 0.87500000 0.87500000 0.75000000 0.75000000 0.62500000 0.62500000 1.0000000 1.0000000 0.87500000 0.87500000 0.0000000 0.25000000 0.0000000 0.25000000 0.12500000 0.12500000 0.50000000 0.50000000 0.37500000 0.37500000 0.0000000 0.25000000 0.0000000 0.25000000 0.12500000 0.12500000 0.50000000 0.50000000 0.37500000 0.37500000 0.75000000 0.75000000 0.62500000 0.62500000 1.0000000 1.0000000 0.87500000 0.87500000 0.75000000 0.75000000 0.62500000 0.62500000 1.0000000 1.0000000 0.87500000 0.87500000 
+DEAL:0:CG<2>(2)<->CG<2>(2)::10.383092
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+DEAL:0:CG<2>(3)<->CG<2>(3)::7.6697458
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+DEAL:0:CG<2>(3)<->CG<2>(3)::15.445755
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+DEAL:0:CG<2>(4)<->CG<2>(4)::9.9861511
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+DEAL:0:CG<2>(4)<->CG<2>(4)::20.810567
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+DEAL:0:CG<2>(4)<->CG<2>(4)::-3.4694470e-18 0.85447724 -1.9081958e-17 1.0013652 -1.3877788e-17 -4.8572257e-17 -1.7347235e-17 1.2493373 2.1606744 1.2493373 0.18408253 0.92186504 0.88199239 0.21572703 1.0803372 1.0336103 0.26914839 1.3478655 1.2895674 0.46548041 2.3310746 2.2302506 0.26914839 1.3478655 1.2895674 1.4582719 1.7089545 2.1321498 3.6874601 2.1321498 1.2501574 2.7655951 1.9480673 1.4650644 3.2410116 2.2829476 1.8278642 4.0435965 2.8482832 3.1612114 6.9932239 4.9259816 1.8278642 4.0435965 2.8482832 -1.0408341e-17 0.85447724 -1.3877788e-17 -4.8572257e-17 -1.7347235e-17 1.2493373 2.1606744 1.2493373 0.18408253 0.92186504 0.88199239 0.26914839 1.3478655 1.2895674 0.46548041 2.3310746 2.2302506 0.26914839 1.3478655 1.2895674 1.4582719 2.1321498 3.6874601 2.1321498 1.2501574 2.7655951 1.9480673 1.8278642 4.0435965 2.8482832 3.1612114 6.9932239 4.9259816 1.8278642 4.0435965 2.8482832 
+DEAL:0:CG<2>(1)<->CG<2>(1)::3.0618622
+DEAL:0:CG<2>(1)<->CG<2>(1)::0.0000000 0.50000000 0.0000000 1.0000000 0.50000000 0.0000000 1.0000000 0.50000000 1.0000000 
+DEAL:0:CG<2>(1)<->CG<2>(1)::0.0000000 0.25000000 0.0000000 0.50000000 0.25000000 0.0000000 0.75000000 0.50000000 1.0000000 0.75000000 0.50000000 0.25000000 0.0000000 0.25000000 0.0000000 1.0000000 0.75000000 1.0000000 0.50000000 0.75000000 1.0000000 0.25000000 0.50000000 0.75000000 1.0000000 
+DEAL:0:CG<2>(1)<->CG<2>(1)::4.9812147
+DEAL:0:CG<2>(1)<->CG<2>(1)::0.0000000 0.25000000 0.0000000 0.50000000 0.25000000 0.0000000 0.75000000 0.50000000 1.0000000 0.75000000 0.50000000 0.25000000 0.0000000 0.25000000 0.0000000 1.0000000 0.75000000 1.0000000 0.50000000 0.75000000 1.0000000 0.25000000 0.50000000 0.75000000 1.0000000 
+DEAL:0:CG<2>(1)<->CG<2>(1)::0.12500000 1.3750000 0.25000000 2.2500000 2.0000000 0.25000000 1.8750000 1.6250000 2.7500000 
+DEAL:0:CG<2>(2)<->CG<2>(2)::5.3560713
+DEAL:0:CG<2>(2)<->CG<2>(2)::0.0000000 0.50000000 0.0000000 0.25000000 0.25000000 0.0000000 1.0000000 0.50000000 0.75000000 0.75000000 0.50000000 0.0000000 0.25000000 0.25000000 0.0000000 1.0000000 0.50000000 1.0000000 0.75000000 0.75000000 1.0000000 0.25000000 0.50000000 0.75000000 1.0000000 
+DEAL:0:CG<2>(2)<->CG<2>(2)::0.0000000 0.25000000 0.0000000 0.12500000 0.12500000 0.0000000 0.50000000 0.25000000 0.37500000 0.37500000 0.25000000 0.0000000 0.12500000 0.12500000 0.0000000 0.75000000 0.50000000 0.62500000 0.62500000 0.50000000 1.0000000 0.75000000 0.87500000 0.87500000 0.75000000 0.50000000 0.62500000 0.62500000 0.50000000 0.25000000 0.0000000 0.12500000 0.12500000 0.0000000 0.25000000 0.37500000 0.37500000 0.25000000 0.0000000 0.12500000 0.12500000 0.0000000 0.37500000 0.37500000 0.25000000 1.0000000 0.75000000 1.0000000 0.87500000 0.87500000 1.0000000 0.50000000 0.75000000 0.62500000 0.62500000 0.75000000 1.0000000 0.87500000 0.87500000 1.0000000 0.25000000 0.50000000 0.37500000 0.37500000 0.50000000 0.12500000 0.25000000 0.37500000 0.50000000 0.75000000 1.0000000 0.87500000 0.87500000 1.0000000 0.62500000 0.75000000 0.87500000 1.0000000 0.62500000 0.62500000 0.75000000 
+DEAL:0:CG<2>(2)<->CG<2>(2)::10.451291
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+DEAL:0:CG<2>(2)<->CG<2>(2)::-0.046875000 0.71875000 -0.18750000 0.84375000 1.2500000 0.18750000 1.3906250 0.50000000 2.7187500 3.7500000 2.5000000 -0.14062500 1.2500000 1.2500000 0.18750000 1.2968750 0.53125000 1.4375000 2.9062500 3.7500000 3.5625000 1.0312500 2.5000000 3.7500000 3.5625000 
diff --git a/tests/multigrid-global-coarsening/mg_transfer_util.h b/tests/multigrid-global-coarsening/mg_transfer_util.h
index 2c182d628e..b58df2f12d 100644
--- a/tests/multigrid-global-coarsening/mg_transfer_util.h
+++ b/tests/multigrid-global-coarsening/mg_transfer_util.h
@@ -177,8 +177,7 @@ test_transfer_operator(
 template <int dim, typename Number, typename MeshType>
 void
 test_non_nested_transfer(
-  const MGTwoLevelTransferNonNested<dim,
-                                    LinearAlgebra::distributed::Vector<Number>>
+  const MGTwoLevelTransferBase<LinearAlgebra::distributed::Vector<Number>>
                               &transfer,
   const MeshType              &dof_handler_fine,
   const MeshType              &dof_handler_coarse,
diff --git a/tests/multigrid-global-coarsening/non_nested_multigrid_01.cc b/tests/multigrid-global-coarsening/non_nested_multigrid_01.cc
index 393a429ddf..881e02f9f0 100644
--- a/tests/multigrid-global-coarsening/non_nested_multigrid_01.cc
+++ b/tests/multigrid-global-coarsening/non_nested_multigrid_01.cc
@@ -149,7 +149,7 @@ main(int argc, char **argv)
     for (unsigned int degree = 1; degree <= 4; ++degree)
       test<2>(n_refinements, degree, false /*quadrilateral*/);
 
-  // for (unsigned int n_refinements = 2; n_refinements <= 4; ++n_refinements)
-  //   for (unsigned int degree = 1; degree <= 2; ++degree)
-  //     test<2>(n_refinements, degree, true /*triangle*/);
+  for (unsigned int n_refinements = 2; n_refinements <= 4; ++n_refinements)
+    for (unsigned int degree = 1; degree <= 2; ++degree)
+      test<2>(n_refinements, degree, true /*triangle*/);
 }
diff --git a/tests/multigrid-global-coarsening/non_nested_multigrid_01.mpirun=1.with_trilinos=true.output b/tests/multigrid-global-coarsening/non_nested_multigrid_01.mpirun=1.with_trilinos=true.output
index 6e180875b3..07875b2dbe 100644
--- a/tests/multigrid-global-coarsening/non_nested_multigrid_01.mpirun=1.with_trilinos=true.output
+++ b/tests/multigrid-global-coarsening/non_nested_multigrid_01.mpirun=1.with_trilinos=true.output
@@ -11,3 +11,9 @@ DEAL:0::2 1 4 quad 3
 DEAL:0::2 2 4 quad 3
 DEAL:0::2 3 4 quad 3
 DEAL:0::2 4 4 quad 3
+DEAL:0::2 1 2 tri  3
+DEAL:0::2 2 2 tri  3
+DEAL:0::2 1 3 tri  3
+DEAL:0::2 2 3 tri  3
+DEAL:0::2 1 4 tri  3
+DEAL:0::2 2 4 tri  3
diff --git a/tests/multigrid-global-coarsening/non_nested_transfer_05.cc b/tests/multigrid-global-coarsening/non_nested_transfer_05.cc
new file mode 100644
index 0000000000..97e0313f48
--- /dev/null
+++ b/tests/multigrid-global-coarsening/non_nested_transfer_05.cc
@@ -0,0 +1,173 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2020 - 2022 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.md at
+// the top level directory of deal.II.
+//
+// ---------------------------------------------------------------------
+
+
+/**
+ * Test prolongation with uniformly refined meshes, using the
+ * non-nested infrastructure.
+ *
+ * To compare with mg_transfer_a_05.
+ */
+
+#include <deal.II/base/conditional_ostream.h>
+#include <deal.II/base/function.h>
+#include <deal.II/base/logstream.h>
+#include <deal.II/base/mpi.h>
+#include <deal.II/base/quadrature_lib.h>
+
+#include <deal.II/distributed/tria.h>
+
+#include <deal.II/dofs/dof_handler.h>
+
+#include <deal.II/fe/fe_dgq.h>
+#include <deal.II/fe/fe_q.h>
+#include <deal.II/fe/fe_simplex_p.h>
+#include <deal.II/fe/fe_tools.h>
+#include <deal.II/fe/mapping_q.h>
+
+#include <deal.II/grid/grid_generator.h>
+#include <deal.II/grid/grid_out.h>
+
+#include <deal.II/matrix_free/fe_evaluation.h>
+#include <deal.II/matrix_free/matrix_free.h>
+
+#include <deal.II/multigrid/mg_constrained_dofs.h>
+#include <deal.II/multigrid/mg_transfer_global_coarsening.h>
+
+#include "mg_transfer_util.h"
+
+using namespace dealii;
+
+template <int dim>
+class RightHandSideFunction : public Function<dim>
+{
+public:
+  RightHandSideFunction()
+    : Function<dim>(1)
+  {}
+
+  virtual double
+  value(const Point<dim> &p, const unsigned int component = 0) const
+  {
+    (void)component;
+    return p[0];
+  }
+};
+
+template <int dim, typename Number>
+void
+do_test(const FiniteElement<dim>    &fe_fine,
+        const FiniteElement<dim>    &fe_coarse,
+        const Function<dim, Number> &function)
+{
+  // create coarse grid
+  Triangulation<dim> tria_coarse; // TODO
+  if (fe_coarse.reference_cell().is_simplex())
+    GridGenerator::subdivided_hyper_cube_with_simplices(tria_coarse, 1);
+  else
+    GridGenerator::hyper_cube(tria_coarse);
+  tria_coarse.refine_global();
+
+  // create fine grid
+  Triangulation<dim> tria_fine; // TODO
+
+  if (fe_fine.reference_cell().is_simplex())
+    GridGenerator::subdivided_hyper_cube_with_simplices(tria_fine, 1);
+  else
+    GridGenerator::hyper_cube(tria_fine);
+  tria_fine.refine_global();
+  tria_fine.refine_global();
+
+  // setup dof-handlers
+  DoFHandler<dim> dof_handler_fine(tria_fine);
+  dof_handler_fine.distribute_dofs(fe_fine);
+
+  DoFHandler<dim> dof_handler_coarse(tria_coarse);
+  dof_handler_coarse.distribute_dofs(fe_coarse);
+
+  // setup constraint matrix
+  AffineConstraints<Number> constraint_coarse;
+  constraint_coarse.close();
+
+  AffineConstraints<Number> constraint_fine;
+  constraint_fine.close();
+
+  // setup transfer operator
+  MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>
+    transfer;
+
+  const auto mapping_fine =
+    fe_fine.reference_cell().template get_default_mapping<dim>(1);
+  const auto mapping_coarse =
+    fe_coarse.reference_cell().template get_default_mapping<dim>(1);
+
+  transfer.reinit(dof_handler_fine,
+                  dof_handler_coarse,
+                  *mapping_fine,
+                  *mapping_coarse,
+                  constraint_fine,
+                  constraint_coarse);
+
+  test_non_nested_transfer(transfer,
+                           dof_handler_fine,
+                           dof_handler_coarse,
+                           function);
+}
+
+template <int dim, typename Number>
+void
+test(int                          fe_degree,
+     const Function<dim, Number> &function,
+     const bool                   do_simplex_mesh)
+{
+  const auto str_fine   = std::to_string(fe_degree);
+  const auto str_coarse = std::to_string(fe_degree);
+
+  if ((fe_degree > 0) && (do_simplex_mesh == false))
+    {
+      deallog.push("CG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
+      do_test<dim, double>(FE_Q<dim>(fe_degree),
+                           FE_Q<dim>(fe_degree),
+                           function);
+      deallog.pop();
+    }
+
+  if ((fe_degree > 0) && do_simplex_mesh)
+    {
+      deallog.push("CG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
+      do_test<dim, double>(FE_SimplexP<dim>(fe_degree),
+                           FE_SimplexP<dim>(fe_degree),
+                           function);
+      deallog.pop();
+    }
+}
+
+int
+main(int argc, char **argv)
+{
+  Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1);
+  MPILogInitAll                    all;
+
+  deallog.precision(8);
+
+  // Functions::ConstantFunction<2, double> fu(1.);
+  RightHandSideFunction<2> fu;
+
+  for (unsigned int i = 0; i <= 4; ++i)
+    test<2, double>(i, fu, false);
+
+  for (unsigned int i = 0; i <= 2; ++i)
+    test<2, double>(i, fu, true);
+}
diff --git a/tests/multigrid-global-coarsening/non_nested_transfer_05.with_p4est=true.mpirun=1.output b/tests/multigrid-global-coarsening/non_nested_transfer_05.with_p4est=true.mpirun=1.output
new file mode 100644
index 0000000000..174b4ef411
--- /dev/null
+++ b/tests/multigrid-global-coarsening/non_nested_transfer_05.with_p4est=true.mpirun=1.output
@@ -0,0 +1,37 @@
+
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2.39.5