From 58bbb7c7a719601e75ec0c2e2f8c267f9a7a5c27 Mon Sep 17 00:00:00 2001
From: Peter Munch <peterrmuench@gmail.com>
Date: Fri, 4 Aug 2023 10:43:30 +0200
Subject: [PATCH] MGTwoLevelTransferNonNested: allow  multiple components

Co-authored-by: Peter Munch <peterrmuench@gmail.com>
---
 .../multigrid/mg_transfer_global_coarsening.h |  18 ++
 .../mg_transfer_global_coarsening.templates.h | 230 +++++++++++++-----
 .../non_nested_transfer_04.cc                 | 140 +++++++++++
 ...ransfer_04.with_p4est=true.mpirun=1.output |  43 ++++
 ...ransfer_04.with_p4est=true.mpirun=2.output |  87 +++++++
 5 files changed, 462 insertions(+), 56 deletions(-)
 create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_04.cc
 create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_04.with_p4est=true.mpirun=1.output
 create mode 100644 tests/multigrid-global-coarsening/non_nested_transfer_04.with_p4est=true.mpirun=2.output

diff --git a/include/deal.II/multigrid/mg_transfer_global_coarsening.h b/include/deal.II/multigrid/mg_transfer_global_coarsening.h
index 3a72e69c9c..cee1a8af0d 100644
--- a/include/deal.II/multigrid/mg_transfer_global_coarsening.h
+++ b/include/deal.II/multigrid/mg_transfer_global_coarsening.h
@@ -764,6 +764,24 @@ protected:
     const LinearAlgebra::distributed::Vector<Number> &src) const override;
 
 private:
+  /**
+   * Perform prolongation for correct number of components.
+   */
+  template <int n_components>
+  void
+  prolongate_and_add_internal_comp(
+    LinearAlgebra::distributed::Vector<Number> &      dst,
+    const LinearAlgebra::distributed::Vector<Number> &src) const;
+
+  /**
+   * Perform restriction for correct number of components.
+   */
+  template <int n_components>
+  void
+  restrict_and_add_internal_comp(
+    LinearAlgebra::distributed::Vector<Number> &      dst,
+    const LinearAlgebra::distributed::Vector<Number> &src) const;
+
   /**
    * Object to evaluate shape functions on one mesh on visited support points of
    * the other mesh.
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 8502e0144c..966aaa2115 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_system.h>
 #include <deal.II/fe/fe_tools.h>
 #include <deal.II/fe/fe_values.h>
 
@@ -3530,10 +3531,11 @@ namespace internal
       // uniquely assigned to support points (they are always defined in the
       // center of the element) and are never shared at vertices or faces.
       Assert((dynamic_cast<const FE_DGQ<dim, spacedim> *>(
-                &dof_handler.get_fe()) != nullptr) ||
+                &dof_handler.get_fe().base_element(0)) != nullptr) ||
                (dynamic_cast<const FE_Q<dim, spacedim> *>(
-                  &dof_handler.get_fe()) != nullptr),
-             ExcMessage("Function expects FE_DGQ of FE_Q in dof_handler."));
+                  &dof_handler.get_fe().base_element(0)) != nullptr),
+             ExcMessage(
+               "Function expects FE_DGQ of FE_Q elements in dof_handler."));
 
       Assert(
         (dynamic_cast<const FE_Q<dim, spacedim> *>(
@@ -3557,11 +3559,8 @@ namespace internal
                dof_handler_support_points.get_fe().degree,
              ExcMessage("DoFHandlers need the same degree."));
 
-      Assert(
-        dof_handler.get_fe().n_dofs_per_cell() ==
-          dof_handler_support_points.get_fe().n_dofs_per_cell(),
-        ExcMessage(
-          "For now multiple components are not considered and therefore DoFHandlers need the same degree."));
+      Assert(dof_handler.get_fe().is_primitive(),
+             ExcMessage("Only primitive elements are allowed."));
 
       const auto degree        = dof_handler.get_fe().degree;
       const auto dofs_per_cell = dof_handler.get_fe().n_dofs_per_cell();
@@ -3572,6 +3571,8 @@ namespace internal
         support_point_dofs;
       support_point_dofs.reserve(dof_handler.n_locally_owned_dofs());
 
+      const unsigned int n_components = dof_handler.get_fe().n_components();
+
       // fill support_point_dofs
       {
         // Support points have a hierarchic numbering, L2 DoFs have
@@ -3614,31 +3615,39 @@ namespace internal
                 cell_support_point->get_dof_indices(support_point_indices);
                 cell->get_dof_indices(dof_indices);
 
-                // collect unconstrained DoFs for support point (assuming
-                // support_points_per_cell==dofs_per_cell, i.e. n_components==1)
+                // collect unconstrained DoFs for support point. In case of DG
+                // elements with polynomial degree > 0 or continuous elements
+                // with multiple components, more DoFs are associated to the
+                // same support point.
                 for (unsigned int i = 0; i < support_point_indices.size(); ++i)
                   if (partitioner_support_points.in_local_range(
                         support_point_indices[i]))
                     {
-                      const auto global_dof_idx =
-                        needs_conversion ?
-                          dof_indices[lexicographic_to_hierarchic[i]] :
-                          dof_indices[i];
-
-                      const auto local_dof_idx =
-                        partitioner_dof.global_to_local(global_dof_idx);
-
-                      AssertIndexRange(local_dof_idx, dof_processed.size());
-
-                      if (dof_processed[local_dof_idx] == false)
+                      for (unsigned int c = 0; c < n_components; ++c)
                         {
-                          if (!constraint.is_constrained(global_dof_idx))
-                            support_point_dofs.emplace_back(
-                              partitioner_support_points.global_to_local(
-                                support_point_indices[i]),
-                              global_dof_idx);
-
-                          dof_processed[local_dof_idx] = true;
+                          const auto global_dof_idx =
+                            needs_conversion ?
+                              dof_indices
+                                [dof_handler.get_fe().component_to_system_index(
+                                  c, lexicographic_to_hierarchic[i])] :
+                              dof_indices[dof_handler.get_fe()
+                                            .component_to_system_index(c, i)];
+
+                          const auto local_dof_idx =
+                            partitioner_dof.global_to_local(global_dof_idx);
+
+                          AssertIndexRange(local_dof_idx, dof_processed.size());
+
+                          if (dof_processed[local_dof_idx] == false)
+                            {
+                              if (!constraint.is_constrained(global_dof_idx))
+                                support_point_dofs.emplace_back(
+                                  partitioner_support_points.global_to_local(
+                                    support_point_indices[i]),
+                                  global_dof_idx);
+
+                              dof_processed[local_dof_idx] = true;
+                            }
                         }
                     }
               }
@@ -3672,7 +3681,7 @@ namespace internal
               ++it;
             }
           support_point_indices.push_back(index);
-          dof_ptrs.push_back(dof_indices.size());
+          dof_ptrs.push_back(dof_indices.size() / n_components);
         }
 
       return std::make_tuple(std::move(support_point_indices),
@@ -3910,10 +3919,12 @@ MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
 
   constraint_info.finalize();
 
-  const auto &fe_base = dof_handler_coarse.get_fe().base_element(0);
+  const auto &       fe_base      = dof_handler_coarse.get_fe().base_element(0);
+  const unsigned int n_components = dof_handler_coarse.get_fe().n_components();
 
   if (const auto fe = dynamic_cast<const FE_Q<dim> *>(&fe_base))
-    fe_coarse = std::make_unique<FE_DGQ<dim>>(fe->get_degree());
+    fe_coarse = std::make_unique<FESystem<dim>>(FE_DGQ<dim>(fe->get_degree()),
+                                                n_components);
   else if (const auto fe = dynamic_cast<const FE_DGQ<dim> *>(&fe_base))
     fe_coarse = fe->clone();
   else
@@ -3921,21 +3932,62 @@ MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
 }
 
 
+// Access utilities for scalar or vector valued fields computed with
+// FEPointEvaluation. Mimicking the members of
+// internal::FEPointEvaluation::EvaluatorTypeTraits
+namespace internal
+{
+  template <typename T>
+  const T &
+  access(const T &value, const unsigned int)
+  {
+    return value;
+  }
+
+  template <typename T>
+  T &
+  access(T &value, const unsigned int)
+  {
+    return value;
+  }
+
+  template <int dim, typename T>
+  const T &
+  access(const Tensor<1, dim, T> &value, const unsigned int c)
+  {
+    return value[c];
+  }
+
+  template <int dim, typename T>
+  T &
+  access(Tensor<1, dim, T> &value, const unsigned int c)
+  {
+    return value[c];
+  }
+} // namespace internal
+
+
 
 template <int dim, typename Number>
+template <int n_components>
 void
 MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
-  prolongate_and_add_internal(
+  prolongate_and_add_internal_comp(
     LinearAlgebra::distributed::Vector<Number> &      dst,
     const LinearAlgebra::distributed::Vector<Number> &src) const
 {
-  std::vector<Number> evaluation_point_results;
-  std::vector<Number> buffer;
+  using Traits =
+    internal::FEPointEvaluation::EvaluatorTypeTraits<dim, n_components, Number>;
+  using value_type = typename Traits::value_type;
+
+  std::vector<value_type> evaluation_point_results;
+  std::vector<value_type> buffer;
 
   const auto evaluation_function = [&](auto &values, const auto &cell_data) {
     std::vector<Number> solution_values;
 
-    FEPointEvaluation<1, dim, dim, Number> evaluator(*mapping_info, *fe_coarse);
+    FEPointEvaluation<n_components, dim, dim, Number> evaluator(*mapping_info,
+                                                                *fe_coarse);
 
     for (unsigned int cell = 0; cell < cell_data.cells.size(); ++cell)
       {
@@ -3963,9 +4015,9 @@ MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
       }
   };
 
-  rpe.template evaluate_and_process<Number>(evaluation_point_results,
-                                            buffer,
-                                            evaluation_function);
+  rpe.template evaluate_and_process<value_type>(evaluation_point_results,
+                                                buffer,
+                                                evaluation_function);
 
   // Weight operator in case some points are owned by multiple cells.
   if (rpe.is_map_unique() == false)
@@ -3980,7 +4032,7 @@ MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
         {
           const auto n_entries = ptr[i + 1] - ptr[i];
 
-          Number result = 0.0;
+          value_type result{};
 
           if (n_entries > 0)
             {
@@ -3996,16 +4048,28 @@ MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
     {
       if (level_dof_indices_fine_ptrs.empty())
         {
-          dst.local_element(this->level_dof_indices_fine[j]) +=
-            evaluation_point_results[j];
+          for (unsigned int c = 0; c < n_components; ++c)
+            {
+              AssertIndexRange(n_components * j + c,
+                               this->level_dof_indices_fine.size());
+              dst.local_element(
+                this->level_dof_indices_fine[n_components * j + c]) +=
+                internal::access(evaluation_point_results[j], c);
+            }
         }
       else
         {
           for (unsigned int i = this->level_dof_indices_fine_ptrs[j];
                i < this->level_dof_indices_fine_ptrs[j + 1];
                ++i)
-            dst.local_element(this->level_dof_indices_fine[i]) +=
-              evaluation_point_results[j];
+            for (unsigned int c = 0; c < n_components; ++c)
+              {
+                AssertIndexRange(n_components * i + c,
+                                 this->level_dof_indices_fine.size());
+                dst.local_element(
+                  this->level_dof_indices_fine[n_components * i + c]) +=
+                  internal::access(evaluation_point_results[j], c);
+              }
         }
     }
 }
@@ -4015,12 +4079,34 @@ MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
 template <int dim, typename Number>
 void
 MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
-  restrict_and_add_internal(
+  prolongate_and_add_internal(
     LinearAlgebra::distributed::Vector<Number> &      dst,
     const LinearAlgebra::distributed::Vector<Number> &src) const
 {
-  std::vector<Number> evaluation_point_results;
-  std::vector<Number> buffer;
+  if (this->fe_coarse->n_components() == 1)
+    prolongate_and_add_internal_comp<1>(dst, src);
+  else if (this->fe_coarse->n_components() == dim)
+    prolongate_and_add_internal_comp<dim>(dst, src);
+  else
+    AssertThrow(false, ExcNotImplemented());
+}
+
+
+
+template <int dim, typename Number>
+template <int n_components>
+void
+MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
+  restrict_and_add_internal_comp(
+    LinearAlgebra::distributed::Vector<Number> &      dst,
+    const LinearAlgebra::distributed::Vector<Number> &src) const
+{
+  using Traits =
+    internal::FEPointEvaluation::EvaluatorTypeTraits<dim, n_components, Number>;
+  using value_type = typename Traits::value_type;
+
+  std::vector<value_type> evaluation_point_results;
+  std::vector<value_type> buffer;
 
   evaluation_point_results.resize(rpe.get_point_ptrs().size() - 1);
 
@@ -4028,17 +4114,31 @@ MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
     {
       if (level_dof_indices_fine_ptrs.empty())
         {
-          evaluation_point_results[j] =
-            src.local_element(this->level_dof_indices_fine[j]);
+          for (unsigned int c = 0; c < n_components; ++c)
+            {
+              AssertIndexRange(n_components * j + c,
+                               this->level_dof_indices_fine.size());
+
+              internal::access(evaluation_point_results[j], c) =
+                src.local_element(
+                  this->level_dof_indices_fine[n_components * j + c]);
+            }
         }
       else
         {
-          evaluation_point_results[j] = 0.0;
+          evaluation_point_results[j] = {};
+
           for (unsigned int i = this->level_dof_indices_fine_ptrs[j];
                i < this->level_dof_indices_fine_ptrs[j + 1];
                ++i)
-            evaluation_point_results[j] +=
-              src.local_element(this->level_dof_indices_fine[i]);
+            for (unsigned int c = 0; c < n_components; ++c)
+              {
+                AssertIndexRange(n_components * i + c,
+                                 this->level_dof_indices_fine.size());
+                internal::access(evaluation_point_results[j], c) +=
+                  src.local_element(
+                    this->level_dof_indices_fine[n_components * i + c]);
+              }
         }
     }
 
@@ -4059,8 +4159,9 @@ MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
 
   const auto evaluation_function = [&](const auto &values,
                                        const auto &cell_data) {
-    std::vector<Number>                    solution_values;
-    FEPointEvaluation<1, dim, dim, Number> evaluator(*mapping_info, *fe_coarse);
+    std::vector<Number>                               solution_values;
+    FEPointEvaluation<n_components, dim, dim, Number> evaluator(*mapping_info,
+                                                                *fe_coarse);
 
     for (unsigned int cell = 0; cell < cell_data.cells.size(); ++cell)
       {
@@ -4089,9 +4190,26 @@ MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
       }
   };
 
-  rpe.template process_and_evaluate<Number>(evaluation_point_results,
-                                            buffer,
-                                            evaluation_function);
+  rpe.template process_and_evaluate<value_type>(evaluation_point_results,
+                                                buffer,
+                                                evaluation_function);
+}
+
+
+
+template <int dim, typename Number>
+void
+MGTwoLevelTransferNonNested<dim, LinearAlgebra::distributed::Vector<Number>>::
+  restrict_and_add_internal(
+    LinearAlgebra::distributed::Vector<Number> &      dst,
+    const LinearAlgebra::distributed::Vector<Number> &src) const
+{
+  if (this->fe_coarse->n_components() == 1)
+    restrict_and_add_internal_comp<1>(dst, src);
+  else if (this->fe_coarse->n_components() == dim)
+    restrict_and_add_internal_comp<dim>(dst, src);
+  else
+    AssertThrow(false, ExcNotImplemented());
 }
 
 
diff --git a/tests/multigrid-global-coarsening/non_nested_transfer_04.cc b/tests/multigrid-global-coarsening/non_nested_transfer_04.cc
new file mode 100644
index 0000000000..352b4697e6
--- /dev/null
+++ b/tests/multigrid-global-coarsening/non_nested_transfer_04.cc
@@ -0,0 +1,140 @@
+// ---------------------------------------------------------------------
+//
+// Copyright (C) 2020 - 2023 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 the non nested transfer for multiple components
+
+#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_q.h>
+#include <deal.II/fe/fe_system.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/matrix_free/matrix_free.h>
+
+#include <deal.II/multigrid/mg_transfer_global_coarsening.h>
+
+#include "mg_transfer_util.h"
+
+using namespace dealii;
+
+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
+  parallel::distributed::Triangulation<dim> tria_coarse(MPI_COMM_WORLD);
+  GridGenerator::hyper_cube(tria_coarse);
+  tria_coarse.refine_global();
+
+  // create fine grid
+  parallel::distributed::Triangulation<dim> tria_fine(MPI_COMM_WORLD);
+  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;
+  MappingQ1<dim> mapping_fine, mapping_coarse;
+  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 auto str_fine   = std::to_string(fe_degree);
+  const auto str_coarse = std::to_string(fe_degree);
+
+  if (fe_degree > 0)
+    {
+      deallog.push("CG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
+      do_test<dim, double>(FESystem<dim>(FE_Q<dim>(fe_degree) ^ dim),
+                           FESystem<dim>(FE_Q<dim>(fe_degree) ^ dim),
+                           function);
+      deallog.pop();
+    }
+
+
+  if (fe_degree > 0)
+    {
+      deallog.push("DG<2>(" + str_fine + ")<->CG<2>(" + str_coarse + ")");
+      do_test<dim, double>(FESystem<dim>(FE_DGQ<dim>(fe_degree) ^ dim),
+                           FESystem<dim>(FE_Q<dim>(fe_degree) ^ dim),
+                           function);
+      deallog.pop();
+    }
+
+
+  {
+    deallog.push("DG<2>(" + str_fine + ")<->DG<2>(" + str_coarse + ")");
+    do_test<dim, double>(FESystem<dim>(FE_DGQ<dim>(fe_degree) ^ dim),
+                         FESystem<dim>(FE_DGQ<dim>(fe_degree) ^ dim),
+                         function);
+    deallog.pop();
+  }
+}
+
+int
+main(int argc, char **argv)
+{
+  Utilities::MPI::MPI_InitFinalize mpi_initialization(argc, argv, 1);
+  MPILogInitAll                    all;
+
+  deallog.precision(8);
+
+  static constexpr unsigned int          dim = 2;
+  Functions::ConstantFunction<2, double> constant(1., dim);
+
+  for (unsigned int i = 0; i < 3; ++i)
+    test<2, double>(i, constant);
+}
diff --git a/tests/multigrid-global-coarsening/non_nested_transfer_04.with_p4est=true.mpirun=1.output b/tests/multigrid-global-coarsening/non_nested_transfer_04.with_p4est=true.mpirun=1.output
new file mode 100644
index 0000000000..b87a686a64
--- /dev/null
+++ b/tests/multigrid-global-coarsening/non_nested_transfer_04.with_p4est=true.mpirun=1.output
@@ -0,0 +1,43 @@
+
+DEAL:0:DG<2>(0)<->DG<2>(0)::4.0000000
+DEAL:0:DG<2>(0)<->DG<2>(0)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 
+DEAL:0:DG<2>(0)<->DG<2>(0)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 0.0000000 
+DEAL:0:DG<2>(0)<->DG<2>(0)::8.0000000
+DEAL:0:DG<2>(0)<->DG<2>(0)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 
+DEAL:0:DG<2>(0)<->DG<2>(0)::4.0000000 0.0000000 4.0000000 0.0000000 4.0000000 0.0000000 4.0000000 0.0000000 
+DEAL:0:CG<2>(1)<->CG<2>(1)::7.0710678
+DEAL:0:CG<2>(1)<->CG<2>(1)::1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 1.0000000 
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diff --git a/tests/multigrid-global-coarsening/non_nested_transfer_04.with_p4est=true.mpirun=2.output b/tests/multigrid-global-coarsening/non_nested_transfer_04.with_p4est=true.mpirun=2.output
new file mode 100644
index 0000000000..0176b9eb03
--- /dev/null
+++ b/tests/multigrid-global-coarsening/non_nested_transfer_04.with_p4est=true.mpirun=2.output
@@ -0,0 +1,87 @@
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+DEAL:1:DG<2>(0)<->DG<2>(0)::
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+DEAL:1:DG<2>(0)<->DG<2>(0)::
+DEAL:1:CG<2>(1)<->CG<2>(1)::7.0710678
+DEAL:1:CG<2>(1)<->CG<2>(1)::
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+DEAL:1:CG<2>(1)<->CG<2>(1)::12.020815
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+DEAL:1:CG<2>(1)<->CG<2>(1)::
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+DEAL:1:DG<2>(1)<->CG<2>(1)::
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+DEAL:1:DG<2>(1)<->CG<2>(1)::33.941125
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+DEAL:1:DG<2>(1)<->CG<2>(1)::
+DEAL:1:DG<2>(1)<->DG<2>(1)::8.0000000
+DEAL:1:DG<2>(1)<->DG<2>(1)::
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+DEAL:1:DG<2>(1)<->DG<2>(1)::16.000000
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+DEAL:1:DG<2>(1)<->DG<2>(1)::
+DEAL:1:CG<2>(2)<->CG<2>(2)::12.727922
+DEAL:1:CG<2>(2)<->CG<2>(2)::
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+DEAL:1:CG<2>(2)<->CG<2>(2)::25.279067
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+DEAL:1:CG<2>(2)<->CG<2>(2)::
+DEAL:1:DG<2>(2)<->CG<2>(2)::16.970563
+DEAL:1:DG<2>(2)<->CG<2>(2)::
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+DEAL:1:DG<2>(2)<->CG<2>(2)::47.906484
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+DEAL:1:DG<2>(2)<->CG<2>(2)::
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+DEAL:1:DG<2>(2)<->DG<2>(2)::30.750000
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+DEAL:1:DG<2>(2)<->DG<2>(2)::
+
-- 
2.39.5