diff --git a/bin/testing/fuzzycomparevtu.py b/bin/testing/fuzzycomparevtu.py
index a3d5e364403b9b3b225d5c8047e7f16be7581369..a71514ca61bb2028bd72ac2de36f3ebaf35868c2 100644
--- a/bin/testing/fuzzycomparevtu.py
+++ b/bin/testing/fuzzycomparevtu.py
@@ -15,7 +15,9 @@ import sys
 import math
 from six.moves import range
 from six.moves import zip
-
+import os
+import re
+import glob
 
 # fuzzy compare VTK tree from VTK strings
 def compare_vtk(vtk1, vtk2, absolute=1.5e-7, relative=1e-2, zeroValueThreshold={}, verbose=True):
@@ -24,7 +26,11 @@ def compare_vtk(vtk1, vtk2, absolute=1.5e-7, relative=1e-2, zeroValueThreshold={
     Arguments:
     ----------
     vtk1, vtk2 : string
-        The filenames of the vtk files to compare
+        The filenames of the vtk files to compare. If a pvd file is given
+        instead, the corresponding possibly parallel vtk file(s) have to be
+        present and will be converted to a (series of) sequential vtk file(s).
+        The last one in the natural ordering of these files will be taken for
+        comparison.
 
     Keyword Arguments:
     ------------------
@@ -45,6 +51,15 @@ def compare_vtk(vtk1, vtk2, absolute=1.5e-7, relative=1e-2, zeroValueThreshold={
     root1 = ET.fromstring(open(vtk1).read())
     root2 = ET.fromstring(open(vtk2).read())
 
+    # convert parallel vtu to sequential vtu if necessary
+    convertedFromParallelVtu = False
+    if vtk1.endswith('.pvtu'):
+        root1 = convert_pvtu_to_vtu(root1, vtk1)
+        convertedFromParallelVtu = True
+    if vtk2.endswith('.pvtu'):
+        root2 = convert_pvtu_to_vtu(root2, vtk2)
+        convertedFromParallelVtu = True
+
     # sort the vtk file in case nodes appear in different positions
     # e.g. because of minor changes in the output code
     sortedroot1 = sort_vtk(root1)
@@ -56,17 +71,106 @@ def compare_vtk(vtk1, vtk2, absolute=1.5e-7, relative=1e-2, zeroValueThreshold={
 
     # sort the vtk file so that the comparison is independent of the
     # index numbering (coming e.g. from different grid managers)
-    sortedroot1, sortedroot2 = sort_vtk_by_coordinates(sortedroot1, sortedroot2, verbose)
+    sortedroot1, sortedroot2 = sort_vtk_by_coordinates(sortedroot1, sortedroot2, verbose, convertedFromParallelVtu)
 
     # do the fuzzy compare
-    if is_fuzzy_equal_node(sortedroot1, sortedroot2, absolute, relative, zeroValueThreshold, verbose):
+    if is_fuzzy_equal_node(sortedroot1, sortedroot2, absolute, relative, zeroValueThreshold, verbose, convertedFromParallelVtu):
         return 0
     else:
         return 1
 
+# convert a parallel vtu file into sequential one by glueing the pieces together
+def convert_pvtu_to_vtu(pvturoot, filename):
+
+    # get the directory of the vtu file in case the piece paths are relative
+    dirname = os.path.dirname(os.path.abspath(filename))
+    # get the piece file names from the parallel vtu
+    pieces = []
+    for piece in pvturoot.findall(".//Piece"):
+        piecename = os.path.join(dirname, os.path.basename(piece.attrib["Source"]))
+        pieces.append(ET.fromstring(open(piecename).read()))
+
+    root = pieces[0]
+    rootCellDataArrays = []
+    rootPointDataArrays = []
+
+    for dataArray in root.findall(".//PointData/DataArray"):
+        rootPointDataArrays.append(dataArray)
+    for dataArray in root.findall(".//CellData/DataArray"):
+        rootCellDataArrays.append(dataArray)
+    for dataArray in root.findall(".//DataArray"):
+        if dataArray.attrib["Name"] == "connectivity":
+            rootConnectivity = dataArray
+        if dataArray.attrib["Name"] == "types":
+            rootTypes = dataArray
+        if dataArray.attrib["Name"] == "offsets":
+            rootOffsets = dataArray
+        if dataArray.attrib["Name"] == "Coordinates":
+            rootCoordinates = dataArray
+
+    # add all pieces to the first piece
+    for piece in pieces[1:]:
+        cellDataArrays = []
+        pointDataArrays = []
+        for dataArray in piece.findall(".//PointData/DataArray"):
+            pointDataArrays.append(dataArray)
+        for dataArray in piece.findall(".//CellData/DataArray"):
+            cellDataArrays.append(dataArray)
+        for dataArray in piece.findall(".//DataArray"):
+            if dataArray.attrib["Name"] == "connectivity":
+                connectivity = dataArray
+            if dataArray.attrib["Name"] == "types":
+                types = dataArray
+            if dataArray.attrib["Name"] == "offsets":
+                offsets = dataArray
+            if dataArray.attrib["Name"] == "Coordinates":
+                coordinates = dataArray
+
+        # compute offset for the offsets vector (it's the last entry of the current root piece)
+        for dataArray in root.findall(".//Cells/DataArray"):
+            if dataArray.attrib["Name"] == "offsets":
+                offsets_offset = int(dataArray.text.strip().rsplit(' ', 1)[1])
+
+        # add the offsets to the root piece
+        for value in offsets.text.strip().split():
+            newvalue = " " + str(int(value) + offsets_offset) + " "
+            rootOffsets.text += newvalue
+
+        # compute offset for the connectivity vector (it's the number of points of the current root piece)
+        rootNumPoints = int(root.findall(".//Piece")[0].attrib["NumberOfPoints"])
+        rootNumCells = int(root.findall(".//Piece")[0].attrib["NumberOfCells"])
+
+        # add the connectivity vector to the root piece
+        for value in connectivity.text.strip().split():
+            newvalue = " " + str(int(value) + rootNumPoints) + " "
+            rootConnectivity.text += newvalue
+
+        # add the types and coordinates
+        rootTypes.text += " " + types.text
+        rootCoordinates.text += " " + coordinates.text
+
+        # add all the data arrays
+        for i, dataArray in enumerate(cellDataArrays):
+            rootCellDataArrays[i].text += " " + cellDataArrays[i].text
+        for i, dataArray in enumerate(pointDataArrays):
+            rootPointDataArrays[i].text += " " + pointDataArrays[i].text
+
+        # update the number of cells and points
+        newNumPoints = int(piece.findall(".//Piece")[0].attrib["NumberOfPoints"]) + rootNumPoints
+        newNumCells = int(piece.findall(".//Piece")[0].attrib["NumberOfCells"]) + rootNumCells
+
+        root.findall(".//Piece")[0].attrib["NumberOfPoints"] = str(newNumPoints)
+        root.findall(".//Piece")[0].attrib["NumberOfCells"] = str(newNumCells)
+
+    # for debugging the merged vtu file can be written out and viewed in paraview
+    # testname = os.path.join(dirname, "comparisontemp-" + os.path.basename(pvturoot.findall(".//Piece")[0].attrib["Source"]))
+    # vtu = ET.ElementTree(root)
+    # vtu.write(testname)
+
+    return root
 
 # fuzzy compare of VTK nodes
-def is_fuzzy_equal_node(node1, node2, absolute, relative, zeroValueThreshold, verbose):
+def is_fuzzy_equal_node(node1, node2, absolute, relative, zeroValueThreshold, verbose, convertedFromParallelVtu=False):
 
     is_equal = True
     for node1child, node2child in zip(node1.iter(), node2.iter()):
@@ -76,7 +180,7 @@ def is_fuzzy_equal_node(node1, node2, absolute, relative, zeroValueThreshold, ve
                 is_equal = False
             else:
                 return False
-        if list(node1.attrib.items()) != list(node2.attrib.items()):
+        if not convertedFromParallelVtu and (node1.attrib.items()) != list(node2.attrib.items()):
             if verbose:
                 print('Attributes differ in node: {}'.format(node1.tag))
                 is_equal = False
@@ -89,9 +193,13 @@ def is_fuzzy_equal_node(node1, node2, absolute, relative, zeroValueThreshold, ve
             else:
                 return False
         if node1child.text or node2child.text:
+            if node1child.get("NumberOfComponents") == None:
+                numberOfComponents = 1
+            else:
+                numberOfComponents = int(node1child.attrib["NumberOfComponents"])
             if not is_fuzzy_equal_text(node1child.text, node2child.text,
                                        node1child.attrib["Name"],
-                                       int(node1child.attrib["NumberOfComponents"]),
+                                       numberOfComponents,
                                        absolute, relative, zeroValueThreshold, verbose):
                 if node1child.attrib["Name"] == node2child.attrib["Name"]:
                     if verbose:
@@ -253,10 +361,9 @@ def sort_vtk(root):
     # return the sorted element tree
     return newroot
 
-
 # sorts the data by point coordinates so that it is independent of index numbering
-def sort_vtk_by_coordinates(root1, root2, verbose):
-    if not is_fuzzy_equal_node(root1.find(".//Points/DataArray"), root2.find(".//Points/DataArray"), absolute=1e-2, relative=1.5e-7, zeroValueThreshold=dict(), verbose=False):
+def sort_vtk_by_coordinates(root1, root2, verbose, convertedFromParallelVtu=False):
+    if not is_fuzzy_equal_node(root1.find(".//Points/DataArray"), root2.find(".//Points/DataArray"), absolute=1e-2, relative=1.5e-7, zeroValueThreshold=dict(), verbose=False, convertedFromParallelVtu=False):
         if verbose:
             print("Sorting vtu by coordinates...")
         for root in [root1, root2]:
@@ -271,14 +378,31 @@ def sort_vtk_by_coordinates(root1, root2, verbose):
                 cellDataArrays.append(dataArray.attrib["Name"])
             for dataArray in root.findall(".//DataArray"):
                 dataArrays[dataArray.attrib["Name"]] = dataArray.text
-                numberOfComponents[dataArray.attrib["Name"]] = dataArray.attrib["NumberOfComponents"]
+                if dataArray.get("NumberOfComponents") == None:
+                    numberOfComponents[dataArray.attrib["Name"]] = 1
+                else:
+                    numberOfComponents[dataArray.attrib["Name"]] = dataArray.attrib["NumberOfComponents"]
 
             vertexArray = []
             coords = dataArrays["Coordinates"].split()
             # group the coordinates into coordinate tuples
             dim = int(numberOfComponents["Coordinates"])
-            for i in range(len(coords) // dim):
-                vertexArray.append([float(c) for c in coords[i * dim: i * dim + dim]])
+
+            # If the vtk file has been converted from pvd, vertices may be
+            # duplicated. The following procedure eliminates the duplications.
+            if convertedFromParallelVtu:
+                uniqueIdx = []
+                for i in range(len(coords) // dim):
+                    pos = [float(c) for c in coords[i * dim : i * dim + dim]]
+                    if pos in vertexArray:
+                        uIdx = vertexArray.index(pos)
+                    else:
+                        uIdx = len(vertexArray)
+                        vertexArray.append(pos)
+                    uniqueIdx.append(uIdx)
+            else:
+                for i in range(len(coords) // dim):
+                    vertexArray.append([float(c) for c in coords[i * dim : i * dim + dim]])
 
             # group the cells into vertex index tuples
             cellArray = []
@@ -288,7 +412,10 @@ def sort_vtk_by_coordinates(root1, root2, verbose):
             for cellIdx, offset in enumerate(offsets):
                 cellArray.append([])
                 for v in range(vertex, int(offset)):
-                    cellArray[cellIdx].append(int(connectivity[v]))
+                    if convertedFromParallelVtu:
+                        cellArray[cellIdx].append(uniqueIdx[int(connectivity[v])])
+                    else:
+                        cellArray[cellIdx].append(int(connectivity[v]))
                     vertex += 1
 
             # for non-conforming output vertices can have the same coordinates and also
@@ -337,7 +464,15 @@ def sort_vtk_by_coordinates(root1, root2, verbose):
                 items = newitems
                 # sort the items: we have either vertex or cell data
                 if name in pointDataArrays:
-                    sortedItems = [items[i] for i in vertexIndexMapInverse]
+                    # use the unique indices if the vtk file has been converted
+                    # from pvd
+                    if convertedFromParallelVtu:
+                        uniqueItems = [None]*len(vertexArray)
+                        for i in range(len(items)):
+                            uniqueItems[uniqueIdx[i]] = items[i]
+                        sortedItems = [uniqueItems[i] for i in vertexIndexMapInverse]
+                    else:
+                        sortedItems = [items[i] for i in vertexIndexMapInverse]
                 elif name in cellDataArrays or name == "types":
                     sortedItems = [j for (i, j) in sorted(zip(cellArray, items), key=itemgetter(0))]
                 elif name == "offsets":
@@ -370,13 +505,19 @@ if __name__ == "__main__":
     parser = argparse.ArgumentParser(description='Fuzzy compare of two VTK\
         (Visualization Toolkit) files. The files are accepted if for every\
         value the difference is below the absolute error or below the\
-        relative error or below both.')
+        relative error or below both.  If a pvd file is given instead, the\
+        corresponding possibly parallel vtk file(s) have to be present and\
+        will be converted to a (series of) sequential vtk file(s). The last\
+        one in the natural ordering of these files will be taken for\
+        comparison.')
     parser.add_argument('vtk_file_1', type=str, help='first file to compare')
     parser.add_argument('vtk_file_2', type=str, help='second file to compare')
     parser.add_argument('-r', '--relative', type=float, default=1e-2, help='maximum relative error (default=1e-2)')
     parser.add_argument('-a', '--absolute', type=float, default=1.5e-7, help='maximum absolute error (default=1.5e-7)')
     parser.add_argument('-z', '--zeroThreshold', type=json.loads, default='{}', help='Thresholds for treating numbers as zero for a parameter as a python dict e.g. {"vel":1e-7,"delP":1.0}')
-    parser.add_argument('-v', '--verbose', type=bool, default=True, help='verbosity of the script')
+    parser.add_argument('-v', '--verbose', dest='verbose', action='store_true')
+    parser.add_argument('--no-verbose', dest='verbose', action='store_false')
+    parser.set_defaults(verbose=True)
     args = vars(parser.parse_args())
 
     sys.exit(compare_vtk(args["vtk_file_1"], args["vtk_file_2"], args["absolute"], args["relative"], args["zeroThreshold"], args["verbose"]))
diff --git a/dumux/io/gridcreator.hh b/dumux/io/gridcreator.hh
index 767ee716c8f097b7398a06d0db3bad9cdd3f5f3e..36d866273a413cffc753a49a6ab9b19735540c65 100644
--- a/dumux/io/gridcreator.hh
+++ b/dumux/io/gridcreator.hh
@@ -39,6 +39,7 @@
 #include <dune/grid/io/file/dgfparser/dgfparser.hh>
 #include <dune/grid/io/file/gmshreader.hh>
 #include <dune/grid/common/gridfactory.hh>
+#include <dune/grid/common/datahandleif.hh>
 #include <dune/grid/utility/structuredgridfactory.hh>
 
 // YaspGrid specific includes
@@ -74,6 +75,66 @@
 namespace Dumux
 {
 
+template<class GridPtr, class GridCreator>
+struct GridDataHandle : public Dune::CommDataHandleIF<GridDataHandle<GridPtr, GridCreator>, int>
+{
+    using GridType = typename GridPtr::element_type;
+    GridDataHandle( GridPtr& gridPtr)
+    :  gridPtr_(gridPtr), idSet_(gridPtr->localIdSet())
+    {
+        auto gridView = gridPtr_->levelGridView(0);
+        const auto& indexSet = gridView.indexSet();
+
+        for( const auto& element : elements(gridView, Dune::Partitions::interior))
+           std::swap(GridCreator::elementMarkers_[GridCreator::gridFactory().insertionIndex(element)], data_[idSet_.id(element)]);
+
+        for (const auto& face : entities(gridView, Dune::Codim<1>()))
+           std::swap(GridCreator::faceMarkers_[indexSet.index(face)], data_[idSet_.id(face)]);
+    }
+
+    ~GridDataHandle()
+    {
+        auto gridView = gridPtr_->levelGridView(0);
+        const auto& indexSet = gridView.indexSet();
+
+        GridCreator::elementMarkers_.resize(indexSet.size(0));
+        for(const auto& element : elements(gridView))
+           std::swap(GridCreator::elementMarkers_[indexSet.index(element)], data_[idSet_.id(element)]);
+
+        GridCreator::faceMarkers_.resize(indexSet.size(1));
+        for (const auto& face : entities(gridView, Dune::Codim<1>()))
+           std::swap(GridCreator::faceMarkers_[indexSet.index(face)], data_[idSet_.id(face)]);
+    }
+
+    Dune::CommDataHandleIF<GridDataHandle<GridPtr, GridCreator>, int>& interface()
+    { return *this; }
+
+    bool contains (int dim, int codim) const
+    { return codim == 0 || codim == 1; }
+
+    bool fixedSize (int dim, int codim) const
+    { return true; }
+
+    template<class EntityType>
+    size_t size (const EntityType& e) const
+    { return 1; }
+
+    template<class MessageBufferImp, class EntityType>
+    void gather (MessageBufferImp& buff, const EntityType& e) const
+    { buff.write(data_[idSet_.id(e)]); }
+
+    template<class MessageBufferImp, class EntityType>
+    void scatter (MessageBufferImp& buff, const EntityType& e, size_t n)
+    { buff.read(data_[idSet_.id(e)]); }
+
+private:
+    GridPtr &gridPtr_;
+    using IdSet = typename GridType::LocalIdSet;
+    const IdSet &idSet_;
+    mutable std::map< typename IdSet::IdType, int> data_;
+};
+
+
 /*!
  * \ingroup InputOutput
  * \brief Provides the grid creator base interface (public) and methods common
@@ -82,6 +143,9 @@ namespace Dumux
 template <class Grid>
 class GridCreatorBase
 {
+    using Intersection = typename Grid::LeafIntersection;
+    using Element = typename Grid::template Codim<0>::Entity;
+    friend class GridDataHandle<std::shared_ptr<Grid>, GridCreatorBase>;
 public:
     /*!
      * \brief Make the grid. Implement this method in the specialization of this class for a grid type.
@@ -110,7 +174,21 @@ public:
     static const std::vector<double>& parameters(const Entity& entity)
     {
         if(enableDgfGridPointer_)
-            return dgfGridPtr().parameters(entity);
+        {
+            if (entity.hasFather())
+            {
+                auto level0entity = entity;
+                while(level0entity.hasFather())
+                    level0entity = level0entity.father();
+
+
+                return dgfGridPtr().parameters(level0entity);
+            }
+            else
+            {
+                return dgfGridPtr().parameters(entity);
+            }
+        }
         else
             DUNE_THROW(Dune::InvalidStateException, "The parameters method is only available if the grid was constructed with a DGF file!");
     }
@@ -135,7 +213,28 @@ public:
     static int getBoundaryDomainMarker(int boundarySegmentIndex)
     {
         if(enableGmshDomainMarkers_)
+        {
+            if (boundarySegmentIndex >= boundaryMarkers_.size())
+                DUNE_THROW(Dune::RangeError, "Boundary segment index "<< boundarySegmentIndex << " bigger than number of boundary segments in grid!");
             return boundaryMarkers_[boundarySegmentIndex];
+        }
+        else
+            DUNE_THROW(Dune::InvalidStateException, "The getBoundaryDomainMarker method is only available if DomainMarkers for Gmsh were enabled!"
+                                                     << " If your Gmsh file contains domain markers / physical entities,"
+                                                     << " enable them by setting 'Grid.DomainMarkers = true' in the input file.");
+    }
+
+    /*!
+     * \brief Return the boundary domain marker (Gmsh physical entity number) of an intersection
+              Only available when using Gmsh with GridParameterGroup.DomainMarkers = 1.
+     * \param intersection The intersection to be evaluated
+     */
+    static int getBoundaryDomainMarker(const Intersection& intersection)
+    {
+        if(enableGmshDomainMarkers_)
+        {
+            return boundaryMarkers_[intersection.boundarySegmentIndex()];
+        }
         else
             DUNE_THROW(Dune::InvalidStateException, "The getBoundaryDomainMarker method is only available if DomainMarkers for Gmsh were enabled!"
                                                      << " If your Gmsh file contains domain markers / physical entities,"
@@ -147,6 +246,7 @@ public:
               Only available when using Gmsh with GridParameterGroup.DomainMarkers = 1.
      * \param elementIdx The element index
      */
+    DUNE_DEPRECATED_MSG("This may produce wrong results if the grid implementation reorders the elements after insertion. Use getElementDomainMarker(element) instead!")
     static int getElementDomainMarker(int elementIdx)
     {
         if(enableGmshDomainMarkers_)
@@ -161,15 +261,83 @@ public:
                                                      << " enable them by setting 'Grid.DomainMarkers = true' in the input file.");
     }
 
+    /*!
+     * \brief Return the element domain marker (Gmsh physical entity number) of an element.
+              Only available when using Gmsh with GridParameterGroup.DomainMarkers = 1.
+     * \param element The element to be evaluated
+     */
+    static int getElementDomainMarker(const Element& element)
+    {
+        if(enableGmshDomainMarkers_)
+        {
+            // parameters are only given for level 0 elements
+            if (element.hasFather())
+            {
+                auto level0element = element;
+                while(level0element.hasFather())
+                    level0element = level0element.father();
+
+                // in the parallel case the data is load balanced and then accessed with indices of the index set
+                if (grid().comm().size() > 1)
+                    return elementMarkers_[gridPtr()->levelGridView(0).indexSet().index(level0element)];
+                else
+                    return elementMarkers_[gridFactory().insertionIndex(level0element)];
+            }
+            else
+            {
+                // in the parallel case the data is load balanced and then accessed with indices of the index set
+                if (grid().comm().size() > 1)
+                    return elementMarkers_[gridPtr()->levelGridView(0).indexSet().index(element)];
+                else
+                    return elementMarkers_[gridFactory().insertionIndex(element)];
+            }
+        }
+        else
+            DUNE_THROW(Dune::InvalidStateException, "The getElementDomainMarker method is only available if DomainMarkers for Gmsh were enabled!"
+                                                    << " If your Gmsh file contains domain markers / physical entities,"
+                                                    << " enable them by setting 'Grid.DomainMarkers = true' in the input file.");
+    }
+
     /*!
      * \brief Call loadBalance() function of the grid.
      */
     static void loadBalance()
     {
-        if(enableDgfGridPointer_)
-            dgfGridPtr().loadBalance();
-        else
-            gridPtr()->loadBalance();
+        if (Dune::MPIHelper::getCollectiveCommunication().size() > 1)
+        {
+            // if we may have dgf parameters use load balancing of the dgf pointer
+            if(enableDgfGridPointer_)
+            {
+                dgfGridPtr().loadBalance();
+            }
+            // if we have gmsh parameters we have to manually load balance the data
+            else if (enableGmshDomainMarkers_)
+            {
+                {
+                    // element and face markers are communicated during load balance
+                    GridDataHandle<std::shared_ptr<Grid>, GridCreatorBase<Grid>> dh(gridPtr());
+                    gridPtr()->loadBalance(dh.interface());
+                    gridPtr()->communicate(dh.interface(), Dune::InteriorBorder_All_Interface, Dune::ForwardCommunication);
+                }
+
+                // transform face markers to boundary markers
+                boundaryMarkers_.resize(gridPtr()->numBoundarySegments(), 0);
+                const auto& indexSet = gridPtr()->leafGridView().indexSet();
+                for (const auto& element : elements(gridPtr()->leafGridView()))
+                {
+                    for (const auto& intersection : intersections(gridPtr()->leafGridView(), element))
+                    {
+                        if (intersection.boundary())
+                        {
+                            auto marker = faceMarkers_[indexSet.index(element.template subEntity<1>(intersection.indexInInside()))];
+                            boundaryMarkers_[intersection.boundarySegmentIndex()] = marker;
+                        }
+                    }
+                }
+            }
+            else
+                gridPtr()->loadBalance();
+        }
     }
 
 protected:
@@ -188,6 +356,15 @@ protected:
             DUNE_THROW(Dune::InvalidStateException, "You are using DGF. To get the grid pointer use method dgfGridPtr()!");
     }
 
+    /*!
+     * \brief Returns a reference to the grid factory
+     */
+    static Dune::GridFactory<Grid> &gridFactory()
+    {
+        static Dune::GridFactory<Grid> gridFactory_;
+        return gridFactory_;
+    }
+
     /*!
      * \brief Returns a reference to the DGF grid pointer (Dune::GridPtr<Grid>).
      */
@@ -243,30 +420,19 @@ protected:
             const bool boundarySegments = getParamFromGroup<bool>(modelParamGroup, "Grid.BoundarySegments", false);
             const bool domainMarkers = getParamFromGroup<bool>(modelParamGroup, "Grid.DomainMarkers", false);
 
+            if (domainMarkers)
+                enableGmshDomainMarkers_ = true;
+
+            // as default read it on all processes in parallel
             if(domainMarkers)
             {
-                enableGmshDomainMarkers_ = true;
-                if (Dune::MPIHelper::getCollectiveCommunication().rank() == 0)
-                {
-                    gridPtr() = std::shared_ptr<Grid>(Dune::GmshReader<Grid>::read(fileName, boundaryMarkers_, elementMarkers_, verbose, boundarySegments));
-                }
-                else
-                {
-                    Dune::GridFactory<Grid> factory;
-                    gridPtr() = std::shared_ptr<Grid>(factory.createGrid());
-                }
+                Dune::GmshReader<Grid>::read(gridFactory(), fileName, boundaryMarkers_, elementMarkers_, verbose, boundarySegments);
+                gridPtr() = std::shared_ptr<Grid>(gridFactory().createGrid());
             }
             else
             {
-                if (Dune::MPIHelper::getCollectiveCommunication().rank() == 0)
-                {
-                    gridPtr() = std::shared_ptr<Grid>(Dune::GmshReader<Grid>::read(fileName, verbose, boundarySegments));
-                }
-                else
-                {
-                    Dune::GridFactory<Grid> factory;
-                    gridPtr() = std::shared_ptr<Grid>(factory.createGrid());
-                }
+                Dune::GmshReader<Grid>::read(gridFactory(), fileName, verbose, boundarySegments);
+                gridPtr() = std::shared_ptr<Grid>(gridFactory().createGrid());
             }
         }
     }
@@ -346,6 +512,7 @@ protected:
     */
     static std::vector<int> elementMarkers_;
     static std::vector<int> boundaryMarkers_;
+    static std::vector<int> faceMarkers_;
 };
 
 template <class Grid>
@@ -360,6 +527,9 @@ std::vector<int> GridCreatorBase<Grid>::elementMarkers_;
 template <class Grid>
 std::vector<int> GridCreatorBase<Grid>::boundaryMarkers_;
 
+template <class Grid>
+std::vector<int> GridCreatorBase<Grid>::faceMarkers_;
+
 /*!
  * \brief Provides the grid creator implementation for all supported grid managers that constructs a grid
  *        from information in the input file. This class is specialised below for all
@@ -908,6 +1078,11 @@ public:
         }
     }
 
+    /*!
+     * \brief Overload load balance. Does nothing since OneDGrid is not parallel
+     */
+    static void loadBalance() {}
+
 private:
     /*!
      * \brief Do some operatrion after making the grid, like global refinement
@@ -930,6 +1105,116 @@ private:
 
 #if HAVE_UG
 
+template<typename Grid>
+class UGLoadBalance
+{
+    const static int dimension = Grid::dimension;
+    using ctype = typename Grid::ctype;
+    using GridView = typename Grid::LeafGridView;
+    using IdSet = typename Grid::LocalIdSet;
+    using Data = std::map<typename IdSet::IdType, int>;
+
+    class LBDataHandle
+    : public Dune::CommDataHandleIF<LBDataHandle,
+    typename Data::mapped_type>
+    {
+    public:
+        typedef typename Data::mapped_type DataType;
+
+    public:
+
+        bool contains (int dim, int codim) const
+        {
+            assert(dim == dimension);
+            return codim == 0;
+        }
+
+        bool fixedSize (int dim, int codim) const
+        {
+            assert(dim == dimension);
+            return true;
+        }
+
+        template<class Entity>
+        size_t size (Entity& entity) const
+        {
+            return 1;
+        }
+
+        template<class MessageBuffer, class Entity>
+        void gather (MessageBuffer& buff, const Entity& entity) const
+        {
+            const auto& id = idSet_.id(entity);
+            buff.write(data_.at(id));
+        }
+
+        template<class MessageBuffer, class Entity>
+        void scatter (MessageBuffer& buff, const Entity& entity, size_t)
+        {
+            const auto& id = idSet_.id(entity);
+            buff.read(data_[id]);
+        }
+
+        LBDataHandle (const IdSet& idSet, Data& data)
+        : idSet_(idSet)
+        , data_(data)
+        {}
+
+    private:
+        const IdSet& idSet_;
+        Data& data_;
+    };
+
+    static void fillDataFromMarkers(const GridView& gv,
+                                    Data& data,
+                                    const std::vector<int>& elementMarkers)
+    {
+        const auto& idSet = gv.grid().localIdSet();
+
+        for (const auto& element : elements(gv, Dune::Partitions::interiorBorder))
+        {
+            const auto& id = idSet.id(element);
+
+            data[id] = elementMarkers[gv.indexSet().index(element)];
+        }
+    }
+
+    static void retrieveMarkersFromData(const GridView& gv,
+                                        Data& data,
+                                        std::vector<int>& elementMarkers)
+    {
+        const auto& idSet = gv.grid().localIdSet();
+
+        elementMarkers.resize(gv.size(0), 0);
+        for (const auto& element : elements(gv, Dune::Partitions::interiorBorder))
+        {
+            const auto& id = idSet.id(element);
+
+            elementMarkers[gv.indexSet().index(element)] = data[id];
+        }
+    }
+
+public:
+    static void balance(Grid& grid, std::vector<int>& elementMarkers)
+    {
+        const auto& gv = grid.leafGridView();
+
+        // define the map containing the data to be balanced
+        Data data;
+
+        LBDataHandle dataHandle(grid.localIdSet(), data);
+
+        // fill the data map
+        fillDataFromMarkers(gv, data, elementMarkers);
+
+        // balance the grid and the data
+        grid.loadBalance(dataHandle);
+
+        // fill the markers vector
+        retrieveMarkersFromData(gv, data, elementMarkers);
+    }
+};
+
 /*!
  * \brief Provides a grid creator for UGGrids
  *        from information in the input file
@@ -955,6 +1240,7 @@ class GridCreatorImpl<Dune::UGGrid<dim>, discMethod>
 public:
     using Grid = typename Dune::UGGrid<dim>;
     using ParentType = GridCreatorBase<Grid>;
+    using Element = typename Grid::template Codim<0>::Entity;
 
     /*!
      * \brief Make the UGGrid.
@@ -997,9 +1283,62 @@ public:
         }
     }
 
+    /*!
+     * \brief Call loadBalance() function of the grid.
+     * \note This overload is necessary because UGGrid cannot load balance element data yet.
+     *       For dgf grids using element data in parallel will (hopefully) through an error
+     *       For gmsh grids the parameters are read on every process so we use too much memory but
+     *       the parameters are available via the insertionIndex of the level 0 element.
+     */
+    static void loadBalance()
+    {
+        // if we may have dgf parameters use load balancing of the dgf pointer
+        if(ParentType::enableDgfGridPointer_)
+        {
+            ParentType::dgfGridPtr().loadBalance();
+        }
+        else if (ParentType::enableGmshDomainMarkers_)
+        {
+            UGLoadBalance<Grid>::balance(ParentType::grid(), ParentType::elementMarkers_);
+        }
+        else
+        {
+            ParentType::gridPtr()->loadBalance();
+        }
+    }
+
+    /*!
+     * \brief Return the element domain marker (Gmsh physical entity number) of an element.
+              Only available when using Gmsh with GridParameterGroup.DomainMarkers = 1.
+     * \param elementIdx The element index
+     */
+    static int getElementDomainMarker(const Element& element)
+    {
+        if(ParentType::enableGmshDomainMarkers_)
+        {
+            // parameters are only given for level 0 elements
+            if (element.hasFather())
+            {
+                auto level0element = element;
+                while(level0element.hasFather())
+                    level0element = level0element.father();
+
+                return ParentType::elementMarkers_[ParentType::gridFactory().insertionIndex(level0element)];
+            }
+            else
+            {
+                return ParentType::elementMarkers_[ParentType::gridFactory().insertionIndex(element)];
+            }
+        }
+        else
+            DUNE_THROW(Dune::InvalidStateException, "The getElementDomainMarker method is only available if DomainMarkers for Gmsh were enabled!"
+                                                    << " If your Gmsh file contains domain markers / physical entities,"
+                                                    << " enable them by setting 'Grid.DomainMarkers = true' in the input file.");
+    }
+
 private:
     /*!
-     * \brief Do some operatrion before making the grid
+     * \brief Do some operations before making the grid
      */
     static void preProcessing_(const std::string& modelParamGroup)
     {
@@ -1092,7 +1431,7 @@ public:
         // try to create it from a DGF or msh file in GridParameterGroup.File
         else if (haveParamInGroup(modelParamGroup, "Grid.File"))
         {
-            ParentType::makeGridFromFile(getParamFromGroup<std::string>(modelParamGroup, "Grid.File"), modelParamGroup);
+            makeGridFromFile(getParamFromGroup<std::string>(modelParamGroup, "Grid.File"), modelParamGroup);
             ParentType::maybeRefineGrid(modelParamGroup);
             return;
         }
@@ -1120,6 +1459,69 @@ public:
 
         }
     }
+
+    /*!
+     * \brief Makes a grid from a file. We currently support *.dgf (Dune Grid Format) and *.msh (Gmsh mesh format).
+     */
+    static void makeGridFromFile(const std::string& fileName,
+                                 const std::string& modelParamGroup)
+    {
+        // We found a file in the input file...does it have a supported extension?
+        const std::string extension = ParentType::getFileExtension(fileName);
+        if(extension != "dgf" && extension != "msh")
+            DUNE_THROW(Dune::IOError, "Grid type " << Dune::className<Grid>() << " only supports DGF (*.dgf) and Gmsh (*.msh) grid files but the specified filename has extension: *."<< extension);
+
+        // make the grid
+        if(extension == "dgf")
+        {
+            ParentType::enableDgfGridPointer_ = true;
+            ParentType::dgfGridPtr() = Dune::GridPtr<Grid>(fileName.c_str(), Dune::MPIHelper::getCommunicator());
+        }
+        if(extension == "msh")
+        {
+            // get some optional parameters
+            const bool verbose = getParamFromGroup<bool>(modelParamGroup, "Grid.Verbosity", false);
+            const bool boundarySegments = getParamFromGroup<bool>(modelParamGroup, "Grid.BoundarySegments", false);
+            const bool domainMarkers = getParamFromGroup<bool>(modelParamGroup, "Grid.DomainMarkers", false);
+
+            if (domainMarkers)
+                ParentType::enableGmshDomainMarkers_ = true;
+
+            // only filll the factory for rank 0
+            if(domainMarkers)
+            {
+                std::vector<int> boundaryMarkersInsertionIndex;
+                if (Dune::MPIHelper::getCollectiveCommunication().rank() == 0)
+                    Dune::GmshReader<Grid>::read(ParentType::gridFactory(), fileName, boundaryMarkersInsertionIndex, ParentType::elementMarkers_, verbose, boundarySegments);
+
+                ParentType::gridPtr() = std::shared_ptr<Grid>(ParentType::gridFactory().createGrid());
+
+                // reorder boundary markers according to boundarySegmentIndex
+                ParentType::boundaryMarkers_.resize(ParentType::gridPtr()->numBoundarySegments(), 0);
+                ParentType::faceMarkers_.resize(ParentType::gridPtr()->leafGridView().size(1), 0);
+                const auto& indexSet = ParentType::gridPtr()->leafGridView().indexSet();
+                for (const auto& element : elements(ParentType::gridPtr()->leafGridView()))
+                {
+                    for (const auto& intersection : intersections(ParentType::gridPtr()->leafGridView(), element))
+                    {
+                        if (intersection.boundary() && ParentType::gridFactory().wasInserted(intersection))
+                        {
+                            auto marker = boundaryMarkersInsertionIndex[ParentType::gridFactory().insertionIndex(intersection)];
+                            ParentType::boundaryMarkers_[intersection.boundarySegmentIndex()] = marker;
+                            ParentType::faceMarkers_[indexSet.index(element.template subEntity<1>(intersection.indexInInside()))] = marker;
+                        }
+                    }
+                }
+            }
+            else
+            {
+                if (Dune::MPIHelper::getCollectiveCommunication().rank() == 0)
+                    Dune::GmshReader<Grid>::read(ParentType::gridFactory(), fileName, verbose, boundarySegments);
+
+                ParentType::gridPtr() = std::shared_ptr<Grid>(ParentType::gridFactory().createGrid());
+            }
+        }
+    }
 };
 
 #endif // HAVE_DUNE_ALUGRID
diff --git a/test/io/gridcreator/CMakeLists.txt b/test/io/gridcreator/CMakeLists.txt
index 8a0cf0394d1d36a6f64a8606055d75c052bd6499..40f182bc30c53efbf7e625ae4202a46811dde754 100644
--- a/test/io/gridcreator/CMakeLists.txt
+++ b/test/io/gridcreator/CMakeLists.txt
@@ -1,17 +1,6 @@
 add_input_file_links()
 dune_symlink_to_source_files(FILES grids)
 
-dune_add_test(NAME test_gridcreator_gmsh
-              SOURCES test_gridcreator_gmsh.cc
-              CMAKE_GUARD dune-uggrid_FOUND
-              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
-              CMD_ARGS --script fuzzy
-                       --command "${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_gmsh"
-                       --files ${CMAKE_SOURCE_DIR}/test/references/bifurcation-reference.vtu
-                               ${CMAKE_CURRENT_BINARY_DIR}/bifurcation-00000.vtu
-                               ${CMAKE_SOURCE_DIR}/test/references/bifurcation-reference-refined.vtu
-                               ${CMAKE_CURRENT_BINARY_DIR}/bifurcation-00001.vtu)
-
 dune_add_test(NAME test_gridcreator_cake
               SOURCES test_gridcreator_cake.cc
               CMAKE_GUARD "( dune-uggrid_FOUND OR dune-alugrid_FOUND )"
@@ -29,3 +18,153 @@ dune_add_test(NAME test_gridcreator_subgrid
                        --command "${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_subgrid"
                        --files ${CMAKE_SOURCE_DIR}/test/references/subgrid-reference.vtu
                                ${CMAKE_CURRENT_BINARY_DIR}/subgrid_three.vtu)
+
+dune_symlink_to_source_files(FILES "test_gridcreator_gmsh_3d.input"
+                                   "test_gridcreator_gmsh_e_markers.input"
+                                   "test_gridcreator_dgf_e_markers.input")
+
+add_executable(test_gridcreator_gmsh_3d_alu EXCLUDE_FROM_ALL test_gridcreator_gmsh_3d.cc)
+target_compile_definitions(test_gridcreator_gmsh_3d_alu PUBLIC GRIDTYPE=Dune::ALUGrid<3,3,Dune::simplex,Dune::nonconforming>)
+
+dune_add_test(NAME test_gridcreator_gmsh_3d_alu_sequential
+              TARGET test_gridcreator_gmsh_3d_alu
+              CMAKE_GUARD dune-alugrid_FOUND
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy
+                       --command "${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_gmsh_3d_alu -Problem.Name bifurcation_alu -Grid.Refine false"
+                       --files ${CMAKE_SOURCE_DIR}/test/references/bifurcation_alu-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/bifurcation_alu-00000.vtu)
+
+dune_add_test(NAME test_gridcreator_gmsh_3d_alu_parallel
+              TARGET test_gridcreator_gmsh_3d_alu
+              CMAKE_GUARD dune-alugrid_FOUND
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy --zeroThreshold {"rank":100}
+                       --command "${MPIEXEC} -np 2 ${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_gmsh_3d_alu -Problem.Name bifurcation_alu_parallel -Grid.Refine false"
+                       --files ${CMAKE_SOURCE_DIR}/test/references/bifurcation_alu-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/s0002-bifurcation_alu_parallel-00000.pvtu)
+
+add_executable(test_gridcreator_gmsh_3d_ug EXCLUDE_FROM_ALL test_gridcreator_gmsh_3d.cc)
+target_compile_definitions(test_gridcreator_gmsh_3d_ug PUBLIC GRIDTYPE=Dune::UGGrid<3>)
+
+dune_add_test(NAME test_gridcreator_gmsh_3d_ug_sequential
+              TARGET test_gridcreator_gmsh_3d_ug
+              CMAKE_GUARD dune-uggrid_FOUND
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy
+                       --command "${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_gmsh_3d_ug -Problem.Name bifurcation_ug"
+                       --files ${CMAKE_SOURCE_DIR}/test/references/bifurcation_ug-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/bifurcation_ug-00000.vtu
+                               ${CMAKE_SOURCE_DIR}/test/references/bifurcation_ug-reference-refined.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/bifurcation_ug-00001.vtu)
+
+dune_add_test(NAME test_gridcreator_gmsh_3d_ug_parallel
+              TARGET test_gridcreator_gmsh_3d_ug
+              CMAKE_GUARD dune-uggrid_FOUND
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy --zeroThreshold {"rank":100}
+                       --command "${MPIEXEC} -np 2 ${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_gmsh_3d_ug -Problem.Name bifurcation_ug_parallel"
+                       --files ${CMAKE_SOURCE_DIR}/test/references/bifurcation_ug-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/s0002-bifurcation_ug_parallel-00000.pvtu
+                               ${CMAKE_SOURCE_DIR}/test/references/bifurcation_ug-reference-refined.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/s0002-bifurcation_ug_parallel-00001.pvtu)
+
+add_executable(test_gridcreator_gmsh_e_markers_alu EXCLUDE_FROM_ALL test_gridcreator_gmsh_e_markers.cc)
+target_compile_definitions(test_gridcreator_gmsh_e_markers_alu PUBLIC GRIDTYPE=Dune::ALUGrid<2,2,Dune::simplex,Dune::conforming>)
+
+dune_add_test(NAME test_gridcreator_gmsh_e_markers_alu_sequential
+              TARGET test_gridcreator_gmsh_e_markers_alu
+              CMAKE_GUARD dune-alugrid_FOUND
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy
+                       --command "${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_gmsh_e_markers_alu -Problem.Name fracture_alu"
+                       --files ${CMAKE_SOURCE_DIR}/test/references/fracture_alu-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/fracture_alu-00000.vtu
+                               ${CMAKE_SOURCE_DIR}/test/references/fracture_alu-reference-refined.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/fracture_alu-00001.vtu)
+
+dune_add_test(NAME test_gridcreator_gmsh_e_markers_alu_parallel
+              TARGET test_gridcreator_gmsh_e_markers_alu
+              CMAKE_GUARD "( dune-alugrid_FOUND AND MPI_FOUND )"
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy --zeroThreshold {"rank":100}
+                      --command "${MPIEXEC} -np 2 ${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_gmsh_e_markers_alu -Problem.Name fracture_alu_parallel"
+                      --files ${CMAKE_SOURCE_DIR}/test/references/fracture_alu-reference.vtu
+                              ${CMAKE_CURRENT_BINARY_DIR}/s0002-fracture_alu_parallel-00000.pvtu
+                              ${CMAKE_SOURCE_DIR}/test/references/fracture_alu-reference-refined.vtu
+                              ${CMAKE_CURRENT_BINARY_DIR}/s0002-fracture_alu_parallel-00001.pvtu)
+
+add_executable(test_gridcreator_gmsh_e_markers_ug EXCLUDE_FROM_ALL test_gridcreator_gmsh_e_markers.cc)
+target_compile_definitions(test_gridcreator_gmsh_e_markers_ug PUBLIC GRIDTYPE=Dune::UGGrid<2>)
+
+dune_add_test(NAME test_gridcreator_gmsh_e_markers_ug_sequential
+              TARGET test_gridcreator_gmsh_e_markers_ug
+              CMAKE_GUARD dune-uggrid_FOUND
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy
+                       --command "${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_gmsh_e_markers_ug -Problem.Name fracture_ug"
+                       --files ${CMAKE_SOURCE_DIR}/test/references/fracture_ug-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/fracture_ug-00000.vtu
+                               ${CMAKE_SOURCE_DIR}/test/references/fracture_ug-reference-refined.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/fracture_ug-00001.vtu)
+
+dune_add_test(NAME test_gridcreator_gmsh_e_markers_ug_parallel
+              TARGET test_gridcreator_gmsh_e_markers_ug
+              CMAKE_GUARD "( dune-uggrid_FOUND AND MPI_FOUND )"
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy --zeroThreshold {"rank":100}
+                      --command "${MPIEXEC} -np 2 ${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_gmsh_e_markers_ug -Problem.Name fracture_ug_parallel"
+                      --files ${CMAKE_SOURCE_DIR}/test/references/fracture_ug-reference.vtu
+                              ${CMAKE_CURRENT_BINARY_DIR}/s0002-fracture_ug_parallel-00000.pvtu
+                              ${CMAKE_SOURCE_DIR}/test/references/fracture_ug-reference-refined.vtu
+                              ${CMAKE_CURRENT_BINARY_DIR}/s0002-fracture_ug_parallel-00001.pvtu)
+
+add_executable(test_gridcreator_dgf_e_markers_alu EXCLUDE_FROM_ALL test_gridcreator_dgf_e_markers.cc)
+target_compile_definitions(test_gridcreator_dgf_e_markers_alu PUBLIC GRIDTYPE=Dune::ALUGrid<2,2,Dune::simplex,Dune::conforming>)
+
+dune_add_test(NAME test_gridcreator_dgf_e_markers_alu_sequential
+              TARGET test_gridcreator_dgf_e_markers_alu
+              CMAKE_GUARD dune-alugrid_FOUND
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy
+                       --command "${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_dgf_e_markers_alu -Problem.Name co2_alu"
+                       --files ${CMAKE_SOURCE_DIR}/test/references/gridcreator-co2_alu-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/co2_alu-00000.vtu
+                               ${CMAKE_SOURCE_DIR}/test/references/gridcreator-co2_alu-reference-refined.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/co2_alu-00001.vtu)
+
+dune_add_test(NAME test_gridcreator_dgf_e_markers_alu_parallel
+              TARGET test_gridcreator_dgf_e_markers_alu
+              CMAKE_GUARD "( dune-alugrid_FOUND AND MPI_FOUND )"
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy --zeroThreshold {"rank":100}
+                       --command "${MPIEXEC} -np 2 ${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_dgf_e_markers_alu -Problem.Name co2_alu_parallel"
+                       --files ${CMAKE_SOURCE_DIR}/test/references/gridcreator-co2_alu-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/s0002-co2_alu_parallel-00000.pvtu
+                               ${CMAKE_SOURCE_DIR}/test/references/gridcreator-co2_alu-reference-refined.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/s0002-co2_alu_parallel-00001.pvtu)
+
+add_executable(test_gridcreator_dgf_e_markers_ug EXCLUDE_FROM_ALL test_gridcreator_dgf_e_markers.cc)
+target_compile_definitions(test_gridcreator_dgf_e_markers_ug PUBLIC GRIDTYPE=Dune::UGGrid<2>)
+
+dune_add_test(NAME test_gridcreator_dgf_e_markers_ug_sequential
+              TARGET test_gridcreator_dgf_e_markers_ug
+              CMAKE_GUARD dune-uggrid_FOUND
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy
+                       --command "${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_dgf_e_markers_ug -Problem.Name co2_ug"
+                       --files ${CMAKE_SOURCE_DIR}/test/references/gridcreator-co2_ug-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/co2_ug-00000.vtu
+                               ${CMAKE_SOURCE_DIR}/test/references/gridcreator-co2_ug-reference-refined.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/co2_ug-00001.vtu)
+
+dune_add_test(NAME test_gridcreator_dgf_e_markers_ug_parallel
+              TARGET test_gridcreator_dgf_e_markers_ug
+              CMAKE_GUARD "( dune-uggrid_FOUND AND MPI_FOUND )"
+              COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
+              CMD_ARGS --script fuzzy --zeroThreshold {"rank":100}
+                       --command "${MPIEXEC} -np 2 ${CMAKE_CURRENT_BINARY_DIR}/test_gridcreator_dgf_e_markers_ug -Problem.Name co2_ug_parallel"
+                       --files ${CMAKE_SOURCE_DIR}/test/references/gridcreator-co2_ug-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/s0002-co2_ug_parallel-00000.pvtu
+                               ${CMAKE_SOURCE_DIR}/test/references/gridcreator-co2_ug-reference-refined.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/s0002-co2_ug_parallel-00001.pvtu)
diff --git a/test/io/gridcreator/gridcreatortests.hh b/test/io/gridcreator/gridcreatortests.hh
new file mode 100644
index 0000000000000000000000000000000000000000..8db38bfbc999f15eb892b9b6c67a03c0780c3231
--- /dev/null
+++ b/test/io/gridcreator/gridcreatortests.hh
@@ -0,0 +1,269 @@
+/*****************************************************************************
+ *   See the file COPYING for full copying permissions.                      *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the            *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Some tests for the grid creator
+ * \note This can/should be extended
+ */
+
+#ifndef DUMUX_GRIDCREATOR_TESTS_HH
+#define DUMUX_GRIDCREATOR_TESTS_HH
+
+#include <dune/common/version.hh>
+#include <dune/geometry/referenceelements.hh>
+#include <dune/grid/common/datahandleif.hh>
+#include <dune/grid/common/mcmgmapper.hh>
+#include <dune/grid/io/file/vtk.hh>
+
+#include <dumux/io/gridcreator.hh>
+#include <dumux/discretization/methods.hh>
+
+namespace Dumux {
+
+/*!
+ * \brief data handle for parallel communication which takes
+ *        the minimum non-zero values that are attached to vertices
+ */
+template <class GridView>
+class VertexHandleNonZeroMin
+    : public Dune::CommDataHandleIF< VertexHandleNonZeroMin<GridView>, int >
+{
+    using Container = std::vector<int>;
+
+public:
+    VertexHandleNonZeroMin(Container &container, const GridView &gridView)
+    : gridView_(gridView)
+    , container_(container)
+    {}
+
+    bool contains(int dim, int codim) const
+    {
+        // only communicate vertices
+        return codim == dim;
+    }
+
+    bool fixedsize(int dim, int codim) const
+    {
+        // for each vertex we communicate a single field vector which
+        // has a fixed size
+        return true;
+    }
+
+    template<class EntityType>
+    size_t size (const EntityType &e) const
+    {
+        // communicate a field type per entity
+        return 1;
+    }
+
+    template<class MessageBufferImp, class EntityType>
+    void gather(MessageBufferImp &buff, const EntityType &e) const
+    {
+        int vIdx = gridView_.indexSet().index(e);
+        buff.write(container_[vIdx]);
+    }
+
+    template<class MessageBufferImp, class EntityType>
+    void scatter(MessageBufferImp &buff, const EntityType &e, size_t n)
+    {
+        int vIdx = gridView_.indexSet().index(e);
+        int tmp;
+        buff.read(tmp);
+        using std::min;
+        if (tmp > 0)
+        {
+            if (container_[vIdx] == 0)
+                container_[vIdx] = tmp;
+            else
+                container_[vIdx] = min(container_[vIdx], tmp);
+        }
+    }
+
+private:
+    const GridView gridView_;
+    Container &container_;
+};
+
+template<class Grid>
+class GridCreatorTests
+{
+    using GridView = typename Grid::LeafGridView;
+    using Scalar = double;
+    static const int dim = Grid::dimension;
+    using GridCreator = typename Dumux::GridCreatorImpl<Grid, DiscretizationMethod::none>;
+    using ReferenceElements = typename Dune::ReferenceElements<Scalar, dim>;
+
+public:
+
+    static void testBoundaryAndElementMarkers(const std::string& type = "gmsh",
+                                              const std::string& vtkFileName = "test",
+                                              bool refine = true)
+    {
+        // initialize the grid
+        initialize_();
+
+        // read the boundary and element markers as well as the rank
+        std::vector<int> boundaryMarker, elementMarker, rank;
+        getBoundaryMarkers_(boundaryMarker);
+        getElementMarkers_(elementMarker, type);
+        getRank_(rank);
+
+        // construct a vtk output writer and attach the boundary markers
+        Dune::VTKSequenceWriter<typename Grid::LeafGridView> vtkWriter(GridCreator::grid().leafGridView(), vtkFileName, ".", "");
+        vtkWriter.addVertexData(boundaryMarker, "boundaryMarker");
+        vtkWriter.addCellData(elementMarker, "elementMarker");
+        vtkWriter.addCellData(rank, "rank");
+        vtkWriter.write(0);
+
+        if (refine)
+        {
+            // refine grid once and write out the markers again
+            GridCreator::grid().globalRefine(1);
+            getBoundaryMarkers_(boundaryMarker);
+            getElementMarkers_(elementMarker, type);
+            getRank_(rank);
+            vtkWriter.write(1);
+        }
+    }
+
+    static void testElementMarkers(const std::string& type = "gmsh",
+                                   const std::string& vtkFileName = "test",
+                                   bool refine = true)
+    {
+        // initialize the grid
+        initialize_();
+
+        // read the element markers and the rank
+        std::vector<int> elementMarker, rank;
+        getElementMarkers_(elementMarker, type);
+        getRank_(rank);
+
+        // construct a vtk output writer and attach the element markers
+        Dune::VTKSequenceWriter<typename Grid::LeafGridView> vtkWriter(GridCreator::grid().leafGridView(), vtkFileName, ".", "");
+        vtkWriter.addCellData(elementMarker, "elementMarker");
+        vtkWriter.addCellData(rank, "rank");
+        vtkWriter.write(0);
+
+        if (refine)
+        {
+            // refine grid once and write out the markers again
+            GridCreator::grid().globalRefine(1);
+            getElementMarkers_(elementMarker, type);
+            getRank_(rank);
+            vtkWriter.write(1);
+        }
+    }
+
+private:
+
+    static void getRank_(std::vector<int>& rank)
+    {
+        const auto& gridView = GridCreator::grid().leafGridView();
+
+        rank.clear();
+        rank.resize(gridView.size(0));
+
+        for(const auto& element : elements(gridView))
+        {
+            auto eIdx = gridView.indexSet().index(element);
+            rank[eIdx] = gridView.comm().rank();
+        }
+    }
+
+    static void getElementMarkers_(std::vector<int>& elementMarker,
+                                   const std::string& type)
+    {
+        const auto& gridView = GridCreator::grid().leafGridView();
+
+        elementMarker.clear();
+        elementMarker.resize(gridView.size(0));
+
+        for(const auto& element : elements(gridView))
+        {
+            auto eIdx = gridView.indexSet().index(element);
+
+            if (type == "gmsh")
+                elementMarker[eIdx] = GridCreator::getElementDomainMarker(element);
+            else if (type == "dgf")
+                elementMarker[eIdx] = GridCreator::parameters(element)[0];
+            else
+                DUNE_THROW(Dune::InvalidStateException, "No parameters for type " << type);
+        }
+    }
+
+    static void getBoundaryMarkers_(std::vector<int>& boundaryMarker)
+    {
+        const auto& gridView = GridCreator::grid().leafGridView();
+
+        boundaryMarker.clear();
+        boundaryMarker.resize(gridView.size(dim), 0);
+
+        for(const auto& element : elements(gridView))
+        {
+            for(const auto& intersection : intersections(gridView, element))
+            {
+                if(!intersection.boundary())
+                    continue;
+
+                const auto refElement = ReferenceElements::general(element.geometry().type());
+                const auto numVertices = refElement.size(intersection.indexInInside(), 1, dim);
+                // loop over vertices of the intersection facet
+                for(std::size_t vIdx = 0; vIdx < numVertices; vIdx++)
+                {
+                    // get local vertex index with respect to the element
+                    auto vIdxLocal = refElement.subEntity(intersection.indexInInside(), 1, vIdx, dim);
+                    auto vIdxGlobal = gridView.indexSet().subIndex(element, vIdxLocal, dim);
+
+                    // make sure we always take the lowest non-zero marker (problem dependent!)
+                    if (boundaryMarker[vIdxGlobal] == 0)
+                        boundaryMarker[vIdxGlobal] = GridCreator::getBoundaryDomainMarker(intersection);
+                    else
+                    {
+                        if (boundaryMarker[vIdxGlobal] > GridCreator::getBoundaryDomainMarker(intersection))
+                            boundaryMarker[vIdxGlobal] = GridCreator::getBoundaryDomainMarker(intersection);
+                    }
+                }
+            }
+        }
+
+        // In a parallel setting, it is possible that not all boundary vertices
+        // will be reached on each process by the procedure above that loops
+        // over the boundary intersections and their vertices. This mandates the
+        // following synchronization.
+        if (gridView.comm().size() > 1)
+        {
+            VertexHandleNonZeroMin<GridView> dataHandle(boundaryMarker, gridView);
+            gridView.communicate(dataHandle,
+                                 Dune::InteriorBorder_All_Interface,
+                                 Dune::ForwardCommunication);
+        }
+    }
+
+    static void initialize_()
+    {
+        // Make the grid
+        GridCreator::makeGrid();
+
+        // Load balancing if parallel
+        GridCreator::loadBalance();
+    }
+};
+
+} // end namespace Dumux
+
+#endif
diff --git a/test/io/gridcreator/grids/complex_equi_coarse_quad.msh b/test/io/gridcreator/grids/complex_equi_coarse_quad.msh
new file mode 100644
index 0000000000000000000000000000000000000000..da59aab726f98974436f32736d81d2abff6a9a3e
--- /dev/null
+++ b/test/io/gridcreator/grids/complex_equi_coarse_quad.msh
@@ -0,0 +1,1930 @@
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diff --git a/test/io/gridcreator/grids/complex_equi_coarse_tri.msh b/test/io/gridcreator/grids/complex_equi_coarse_tri.msh
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+$EndElements
diff --git a/test/io/gridcreator/grids/heterogeneousSmall.dgf b/test/io/gridcreator/grids/heterogeneousSmall.dgf
new file mode 100644
index 0000000000000000000000000000000000000000..d82aade7acab5d4b97f295c87e4674b43fd0e399
--- /dev/null
+++ b/test/io/gridcreator/grids/heterogeneousSmall.dgf
@@ -0,0 +1,7724 @@
+DGF
+VERTEX
+parameters 2
+ 3.5992241e+01  0.0000000e+00 -30  0.0000000e+00 % 0
+ 3.2401787e+01  0.0000000e+00 -30  0.0000000e+00 % 1
+ 8.7102402e+01  0.0000000e+00 -30  0.0000000e+00 % 2
+ 9.3182823e+01  0.0000000e+00 -30  0.0000000e+00 % 3
+ 1.1495020e+02  0.0000000e+00 -30  0.0000000e+00 % 4
+ 1.1018386e+02  0.0000000e+00 -30  0.0000000e+00 % 5
+ 1.6389880e+02  0.0000000e+00 -30  0.0000000e+00 % 6
+ 1.6721056e+02  0.0000000e+00 -30  0.0000000e+00 % 7
+ 1.6401892e+01  0.0000000e+00 -30  0.0000000e+00 % 8
+ 1.6418752e+02  1.0000000e+02 -30  0.0000000e+00 % 9
+ 1.6873943e+02  1.0000000e+02 -30  0.0000000e+00 % 10
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+ 1.8002838e+02  1.0000000e+02 -30  0.0000000e+00 % 12
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+ 1.5588205e+02  1.6434538e+01 -30  0.0000000e+00 % 1987
+ 1.5392172e+02  1.7292659e+01 -30  0.0000000e+00 % 1988
+ 0.0000000e+00  1.8016499e+01 -30  0.0000000e+00 % 1989
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+ 9.9694529e+01  8.4708939e+01 -30  0.0000000e+00 % 2011
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+ 9.8162949e+01  3.1282918e+01 -30  0.0000000e+00 % 2021
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+ 3.9971322e+01  1.6301768e+00 -30  0.0000000e+00 % 3480
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+ 2.4211517e+01  6.6793204e+01 -30  0.0000000e+00 % 3483
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+ 8.7126180e+01  3.5876014e+01 -30  0.0000000e+00 % 3485
+ 8.6800550e+01  3.7965086e+01 -30  0.0000000e+00 % 3486
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+ 5.4572335e+01  8.8549423e+01 -30  0.0000000e+00 % 3488
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+ 1.4068168e+02  9.8687805e+01 -30  0.0000000e+00 % 3742
+ 1.4879794e+02  9.6343206e+01 -30  0.0000000e+00 % 3743
+ 9.5312602e+01  9.2477881e+01 -30  0.0000000e+00 % 3744
+ 8.8965225e+01  1.0000000e+02 -30  0.0000000e+00 % 3745
+ 8.8593440e+01  9.8422472e+01 -30  0.0000000e+00 % 3746
+ 1.0276996e+02  7.6494875e+01 -30  0.0000000e+00 % 3747
+ 1.1324905e+02  7.7802073e+01 -30  0.0000000e+00 % 3748
+ 8.8712929e+01  7.6219589e+01 -30  0.0000000e+00 % 3749
+ 8.5591183e+01  7.9449590e+01 -30  0.0000000e+00 % 3750
+ 1.6184915e+02  1.0000000e+02 -30  0.0000000e+00 % 3751
+ 1.6163431e+02  9.8760841e+01 -30  0.0000000e+00 % 3752
+ 1.6646347e+02  1.0000000e+02 -30  0.0000000e+00 % 3753
+ 1.6667120e+02  9.8790171e+01 -30  0.0000000e+00 % 3754
+ 1.0497174e+02  5.8941335e+01 -30  0.0000000e+00 % 3755
+ 1.1422065e+02  6.0765886e+01 -30  0.0000000e+00 % 3756
+ 1.8650330e+01  8.8652450e+00 -30  0.0000000e+00 % 3757
+ 1.4392278e+02  6.4687124e+01 -30  0.0000000e+00 % 3758
+ 1.4899026e+02  6.1314169e+01 -30  0.0000000e+00 % 3759
+ 1.4371716e+02  5.8487703e+01 -30  0.0000000e+00 % 3760
+ 1.6520835e+02  5.8504019e+01 -30  0.0000000e+00 % 3761
+ 1.6651499e+02  8.6011567e+01 -30  0.0000000e+00 % 3762
+ 1.4821157e+02  8.3409446e+01 -30  0.0000000e+00 % 3763
+ 1.4382939e+02  7.4879201e+01 -30  0.0000000e+00 % 3764
+ 1.5232448e+02  7.5567410e+01 -30  0.0000000e+00 % 3765
+ 1.8025028e+02  5.4751527e+01 -30  0.0000000e+00 % 3766
+ 1.8584229e+02  5.5667044e+01 -30  0.0000000e+00 % 3767
+ 1.8443808e+02  6.3164584e+01 -30  0.0000000e+00 % 3768
+ 1.8915916e+02  7.9324157e+01 -30  0.0000000e+00 % 3769
+ 1.7847124e+02  7.8882888e+01 -30  0.0000000e+00 % 3770
+ 1.9013583e+02  4.0902635e+01 -30  0.0000000e+00 % 3771
+ 1.3514716e+02  4.0020668e+01 -30  0.0000000e+00 % 3772
+ 1.2366759e+02  3.7582405e+01 -30  0.0000000e+00 % 3773
+ 1.0654158e+02  3.5825064e+01 -30  0.0000000e+00 % 3774
+ 1.0500061e+02  4.2621905e+01 -30  0.0000000e+00 % 3775
+ 1.0673914e+02  2.2249024e+01 -30  0.0000000e+00 % 3776
+ 1.0967792e+02  1.5001544e+01 -30  0.0000000e+00 % 3777
+ 1.1547984e+02  1.9448069e+01 -30  0.0000000e+00 % 3778
+ 1.1133820e+02  2.2250270e+01 -30  0.0000000e+00 % 3779
+ 1.5133979e+02  4.6043187e+01 -30  0.0000000e+00 % 3780
+ 1.4391772e+02  4.0225219e+01 -30  0.0000000e+00 % 3781
+ 1.1256703e+02  0.0000000e+00 -30  0.0000000e+00 % 3782
+ 1.1255339e+02  1.1911216e+00 -30  0.0000000e+00 % 3783
+ 9.6411461e+01  0.0000000e+00 -30  0.0000000e+00 % 3784
+ 9.6751766e+01  1.4856825e+00 -30  0.0000000e+00 % 3785
+ 9.0288076e+01  6.6200474e+00 -30  0.0000000e+00 % 3786
+ 9.0142609e+01  0.0000000e+00 -30  0.0000000e+00 % 3787
+ 8.9757409e+01  1.3828126e+00 -30  0.0000000e+00 % 3788
+ 9.8548118e+01  1.8265084e+01 -30  0.0000000e+00 % 3789
+ 7.9085751e+01  4.5699215e+01 -30  0.0000000e+00 % 3790
+ 6.6513395e+01  4.0056166e+01 -30  0.0000000e+00 % 3791
+ 7.4257001e+01  4.4072989e+01 -30  0.0000000e+00 % 3792
+ 9.1582066e+01  5.5925386e+01 -30  0.0000000e+00 % 3793
+#
+CUBE
+parameters 1
+map 0 1 3 2
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+   1241    1242    1240     246       3
+   1238     848    1239    1242       3
+    245    1238    1242    1241       3
+   1237    1234     858    1235       3
+   1236    1237    1235     857       3
+   1233     853    1234    1237       3
+    856    1233    1237    1236       3
+   1232    1229     686    1230       3
+   1231    1232    1230     687       3
+   1228     688    1229    1232       3
+    685    1228    1232    1231       3
+   1227    1224     560    1225       3
+   1226    1227    1225     145       3
+   1223      78    1224    1227       3
+      7    1223    1227    1226       3
+   1217    1214     549    1215       3
+   1216    1217    1215     186       3
+   1213     550    1214    1217       3
+    187    1213    1217    1216       3
+   1207    1204     300    1205       3
+   1206    1207    1205     299       3
+   1203     301    1204    1207       3
+    296    1203    1207    1206       3
+   1197    1194     461    1195       3
+   1196    1197    1195     855       3
+   1193     462    1194    1197       3
+    336    1193    1197    1196       3
+   1187    1184     833    1185       3
+   1186    1187    1185     130       3
+   1183     769    1184    1187       3
+    803    1183    1187    1186       3
+   1182    1179     850    1180       3
+   1181    1182    1180     847       3
+   1178     251    1179    1182       3
+    252    1178    1182    1181       3
+   1177    1174     238    1175       3
+   1176    1177    1175     228       3
+   1173     239    1174    1177       3
+    230    1173    1177    1176       3
+   1172    1169     625    1170       3
+   1171    1172    1170     333       3
+   1168     626    1169    1172       3
+    308    1168    1172    1171       3
+   1167    1165     654    1110       3
+   1166    1167    1110     653       3
+   1164     641    1165    1167       3
+    642    1164    1167    1166       3
+   1158    1155     898    1156       3
+   1157    1158    1156     523       3
+   1154     896    1155    1158       3
+    522    1154    1158    1157       3
+   1153    1150     647    1151       3
+   1152    1153    1151     168       3
+   1149     648    1150    1153       3
+    169    1149    1153    1152       3
+   1148    1145     893    1146       3
+   1147    1148    1146     421       3
+   1144     894    1145    1148       3
+    525    1144    1148    1147       3
+   1143    1140     813    1141       3
+   1142    1143    1141     257       3
+   1139     808    1140    1143       3
+    226    1139    1143    1142       3
+   1138    1135     274    1136       3
+   1137    1138    1136     281       3
+   1134     272    1135    1138       3
+    271    1134    1138    1137       3
+   1123    1120     542    1121       3
+   1122    1123    1121     548       3
+   1119     558    1120    1123       3
+    185    1119    1123    1122       3
+   1118    1115     905    1116       3
+   1117    1118    1116     517       3
+   1114     106    1115    1118       3
+    101    1114    1118    1117       3
+   1113    1110     654    1111       3
+   1112    1113    1111     652       3
+   1109     653    1110    1113       3
+    167    1109    1113    1112       3
+   1108    1105     746    1106       3
+   1107    1108    1106     703       3
+   1104     748    1105    1108       3
+    744    1104    1108    1107       3
+   1098    1095     416    1096       3
+   1097    1098    1096     313       3
+   1094     411    1095    1098       3
+    406    1094    1098    1097       3
+   1093    1090     738    1091       3
+   1092    1093    1091     270       3
+   1089     146    1090    1093       3
+    289    1089    1093    1092       3
+   1088    1085     531    1086       3
+   1087    1088    1086     305       3
+   1084      96    1085    1088       3
+    122    1084    1088    1087       3
+   1083    1080     483    1081       3
+   1082    1083    1081     454       3
+   1079     482    1080    1083       3
+    476    1079    1083    1082       3
+   1073    1070     919    1071       3
+   1072    1073    1071     912       3
+   1069     501    1070    1073       3
+    910    1069    1073    1072       3
+   1063    1060     328    1061       3
+   1062    1063    1061     329       3
+   1059     327    1060    1063       3
+    325    1059    1063    1062       3
+   1058    1055     767    1056       3
+   1057    1058    1056     766       3
+   1054     290    1055    1058       3
+    765    1054    1058    1057       3
+   1053    1050     699    1051       3
+   1052    1053    1051     700       3
+   1014     747    1050    1053       3
+    564    1014    1053    1052       3
+   1049    1046     481    1047       3
+   1048    1049    1047     339       3
+   1045     923    1046    1049       3
+    350    1045    1049    1048       3
+   1044    1041     632    1042       3
+   1043    1044    1042     641       3
+   1040     637    1041    1044       3
+    172    1040    1044    1043       3
+   1039    1036     846    1037       3
+   1038    1039    1037      22       3
+   1035     260    1036    1039       3
+     85    1035    1039    1038       3
+   1030    1027     297    1028       3
+   1029    1030    1028     278       3
+   1026     269    1027    1030       3
+    268    1026    1030    1029       3
+   1025    1022     626    1023       3
+   1024    1025    1023     623       3
+   1021     181    1022    1025       3
+    619    1021    1025    1024       3
+   1020    1017     404    1018       3
+   1019    1020    1018     403       3
+   1016     406    1017    1020       3
+    190    1016    1020    1019       3
+   1015    1012     746    1013       3
+   1014    1015    1013     747       3
+   1011     704    1012    1015       3
+    564    1011    1015    1014       3
+   1010    1007     683    1008       3
+   1009    1010    1008     160       3
+   1006     677    1007    1010       3
+    162    1006    1010    1009       3
+   1005    1002     834    1003       3
+   1004    1005    1003     833       3
+   1001     831    1002    1005       3
+    824    1001    1005    1004       3
+    995     992     547     993       3
+    994     995     993     545       3
+    991     548     992     995       3
+    546     991     995     994       3
+    985     982     436     983       3
+    984     985     983     873       3
+    981     874     982     985       3
+    250     981     985     984       3
+    975     972     505     973       3
+    974     975     973     506       3
+    971     456     972     975       3
+    502     971     975     974       3
+    970     967     617     968       3
+    969     970     968     607       3
+    966     616     967     970       3
+    179     966     970     969       3
+    965     962     382     963       3
+    964     965     963     381       3
+    961     197     962     965       3
+    196     961     965     964       3
+    960     957     453     958       3
+    959     960     958     454       3
+    956     364     957     960       3
+    452     956     960     959       3
+    950     947     658     948       3
+    949     950     948      69       3
+    946     660     947     950       3
+    114     946     950     949       3
+    940     937     739     938       3
+    939     940     938     559       3
+    936     736     937     940       3
+    142     936     940     939       3
+    935     932     918     933       3
+    934     935     933     468       3
+    931     915     932     935       3
+    906     931     935     934       3
+    930     927     865     928       3
+    929     930     928     126       3
+    926     864     927     930       3
+    409     926     930     929       3
+#
+BOUNDARYSEGMENTS
+      1    1997      99
+      1     106    1997
+      1    1114     101
+      1     106    1114
+      1    1401     101
+      1     124    1401
+      1    3542      62
+      1     124    3542
+      1    1423     100
+      1     107    1423
+      1    3570      99
+      1     107    3570
+      2    1084      96
+      2     122    1084
+      2    3546      64
+      2     122    3546
+      2    3568      94
+      2     108    3568
+      2    1391      92
+      2     108    1391
+      2    3566      92
+      2     109    3566
+      2    1474      93
+      2     109    1474
+      2    1325      64
+      2     120    1325
+      2    1989      94
+      2     120    1989
+      3    2606      69
+      3     116    2606
+      3    3556      67
+      3     116    3556
+      3    3558      74
+      3     113    3558
+      3    3560      73
+      3     113    3560
+      3    1033      32
+      3     115    1033
+      3     954      70
+      3     115     954
+      3    2576      67
+      3     118    2576
+      3    1485      68
+      3     118    1485
+      3    2357      70
+      3     114    2357
+      3     949      69
+      3     114     949
+      3    3549      66
+      3     119    3549
+      3    3551      65
+      3     119    3551
+      3    3554      68
+      3     117    3554
+      3    1561      66
+      3     117    1561
+      3    1791      90
+      3     111    1791
+      3    3562      77
+      3     111    3562
+      3    3564      65
+      3     110    3564
+      3    1248      90
+      3     110    1248
+      3    1365      77
+      3     112    1365
+      3    1302      74
+      3     112    1302
+      4    3270      84
+      4      83    3270
+      4    1970      91
+      4      75    1970
+      4    3600      76
+      4      75    3600
+      4    3442       1
+      4       0    3442
+      4    3481      87
+      4       0    3481
+      4    3470      89
+      4       8    3470
+      4    3520      97
+      4       8    3520
+      4    3491      98
+      4      97    3491
+      4    3258      60
+      4      12    3258
+      4    1223      78
+      4       7    1223
+      4    1124      38
+      4      37    1124
+      4    3692     105
+      4      37    3692
+      4    1038      85
+      4      22    1038
+      4    2046      23
+      4      22    2046
+      4    2965      17
+      4      16    2965
+      4    3397      34
+      4      16    3397
+      4    1347      25
+      4      24    1347
+      4    1823      26
+      4      24    1823
+      4    3727      27
+      4      26    3727
+      4    3394      91
+      4      72    3394
+      4     999     103
+      4      45     999
+      4    3341      88
+      4       1    3341
+      4    3503      47
+      4      46    3503
+      4    3464      51
+      4      46    3464
+      4     941      63
+      4     121     941
+      4    2715      93
+      4     121    2715
+      4    2789      51
+      4      49    2789
+      4    3426      96
+      4      95    3426
+      4    3634      98
+      4      95    3634
+      4    3115      79
+      4       4    3115
+      4    3782       5
+      4       4    3782
+      4    2638      63
+      4     123    2638
+      4    3544     100
+      4     123    3544
+      4    1201      62
+      4     125    1201
+      4     996     103
+      4     125     996
+      4    2970      82
+      4      80    2970
+      4    3677      57
+      4      55    3677
+      4    1801      56
+      4      55    1801
+      4    3445      72
+      4      71    3445
+      4    2057      78
+      4      71    2057
+      4    3383      45
+      4      44    3383
+      4    3325      76
+      4      73    3325
+      4    2545      83
+      4      20    2545
+      4    3722      21
+      4      20    3722
+      4    1618      52
+      4      48    1618
+      4    1425      49
+      4      48    1425
+      4    1457      29
+      4      28    1457
+      4    3784      82
+      4       3    3784
+      4    3711      87
+      4      23    3711
+      4    3431     105
+      4      39    3431
+      4    3535      40
+      4      39    3535
+      4    1975      79
+      4      27    1975
+      4    3456     102
+      4      50    3456
+      4    1534      80
+      4       5    1534
+      4    1074      58
+      4      11    1074
+      4    3073      12
+      4      11    3073
+      4    3741      35
+      4      15    3741
+      4    3739      33
+      4      17    3739
+      4    3688     102
+      4      41    3688
+      4    1102      42
+      4      41    1102
+      4    3732      28
+      4      18    3732
+      4    3734      19
+      4      18    3734
+      4    2679      86
+      4      84    2679
+      4    3136      52
+      4      43    3136
+      4    3380      44
+      4      43    3380
+      4    1809      86
+      4      85    1809
+      4    3026      35
+      4      33    3026
+      4    3526      89
+      4      88    3526
+      4    1159      57
+      4      13    1159
+      4    3745     104
+      4      13    3745
+      4    3405      30
+      4      25    3405
+      4    1261      81
+      4      21    1261
+      4    2702      29
+      4       6    2702
+      4    3452       7
+      4       6    3452
+      4    1841      15
+      4      14    1841
+      4    2308      36
+      4      14    2308
+      4    3524      30
+      4      19    3524
+      4    3532      54
+      4      34    3532
+      4    3530      50
+      4      47    3530
+      4    3439      61
+      4      60    3439
+      4    1317      59
+      4      36    1317
+      4    3787       3
+      4       2    3787
+      4    2199      81
+      4       2    2199
+      4    3753      10
+      4       9    3753
+      4    3751      59
+      4       9    3751
+      4    1384      61
+      4      10    1384
+      4    2939     104
+      4      38    2939
+      4    3694      42
+      4      40    3694
+      4    3280      54
+      4      53    3280
+      4    1221      56
+      4      53    1221
+      4    3414      58
+      4      31    3414
+      4    1031      32
+      4      31    1031
+#
+# csp.dgf
diff --git a/test/io/gridcreator/grids/unitcube.geo b/test/io/gridcreator/grids/unitcube.geo
new file mode 100644
index 0000000000000000000000000000000000000000..81704a91964a0380f7ef1132a4041c62d359985f
--- /dev/null
+++ b/test/io/gridcreator/grids/unitcube.geo
@@ -0,0 +1,41 @@
+size = 0.2;
+Point(1) = {0.0, 0.0, 0.0, size};
+Point(2) = {1.0, 0.0, 0.0, size};
+Point(3) = {1.0, 1.0, 0.0, size};
+Point(4) = {0.0, 1.0, 0.0, size};
+Point(5) = {0.0, 0.0, 1.0, size};
+Point(6) = {1.0, 0.0, 1.0, size};
+Point(7) = {1.0, 1.0, 1.0, size};
+Point(8) = {0.0, 1.0, 1.0, size};
+
+Line(1) = {4, 8};
+Line(2) = {8, 7};
+Line(3) = {7, 3};
+Line(4) = {3, 4};
+Line(5) = {4, 1};
+Line(6) = {1, 5};
+Line(7) = {5, 6};
+Line(8) = {6, 2};
+Line(9) = {2, 1};
+Line(10) = {2, 3};
+Line(11) = {8, 5};
+Line(12) = {7, 6};
+Line Loop(13) = {4, 1, 2, 3};
+Plane Surface(14) = {13};
+Line Loop(15) = {11, 7, -12, -2};
+Plane Surface(16) = {15};
+Line Loop(17) = {5, -9, 10, 4};
+Plane Surface(18) = {17};
+Line Loop(19) = {1, 11, -6, -5};
+Plane Surface(20) = {19};
+Line Loop(21) = {10, -3, 12, 8};
+Plane Surface(22) = {21};
+Line Loop(23) = {8, 9, 6, 7};
+Plane Surface(24) = {23};
+Surface Loop(25) = {14, 18, 20, 16, 24, 22};
+Volume(26) = {25};
+
+Physical Surface(3) = {14, 20, 22, 24};
+Physical Surface(2) = {18};
+Physical Surface(1) = {16};
+Physical Volume(0) = {26};
diff --git a/test/io/gridcreator/grids/unitcube.msh b/test/io/gridcreator/grids/unitcube.msh
new file mode 100644
index 0000000000000000000000000000000000000000..836c28c0a3eec77746f8413c685fdf996adb9987
--- /dev/null
+++ b/test/io/gridcreator/grids/unitcube.msh
@@ -0,0 +1,1419 @@
+$MeshFormat
+2.2 0 8
+$EndMeshFormat
+$Nodes
+243
+1 0 0 0
+2 1 0 0
+3 1 1 0
+4 0 1 0
+5 0 0 1
+6 1 0 1
+7 1 1 1
+8 0 1 1
+9 0 1 0.1999999999995579
+10 0 1 0.3999999999989749
+11 0 1 0.5999999999989468
+12 0 1 0.7999999999994734
+13 0.1999999999995579 1 1
+14 0.3999999999989749 1 1
+15 0.5999999999989468 1 1
+16 0.7999999999994734 1 1
+17 1 1 0.7999999999999998
+18 1 1 0.6000000000013869
+19 1 1 0.4000000000016644
+20 1 1 0.2000000000008322
+21 0.7999999999999998 1 0
+22 0.6000000000013869 1 0
+23 0.4000000000016644 1 0
+24 0.2000000000008322 1 0
+25 0 0.7999999999999998 0
+26 0 0.6000000000013869 0
+27 0 0.4000000000016644 0
+28 0 0.2000000000008322 0
+29 0 0 0.1999999999995579
+30 0 0 0.3999999999989749
+31 0 0 0.5999999999989468
+32 0 0 0.7999999999994734
+33 0.1999999999995579 0 1
+34 0.3999999999989749 0 1
+35 0.5999999999989468 0 1
+36 0.7999999999994734 0 1
+37 1 0 0.7999999999999998
+38 1 0 0.6000000000013869
+39 1 0 0.4000000000016644
+40 1 0 0.2000000000008322
+41 0.7999999999999998 0 0
+42 0.6000000000013869 0 0
+43 0.4000000000016644 0 0
+44 0.2000000000008322 0 0
+45 1 0.1999999999995579 0
+46 1 0.3999999999989749 0
+47 1 0.5999999999989468 0
+48 1 0.7999999999994734 0
+49 0 0.7999999999999998 1
+50 0 0.6000000000013869 1
+51 0 0.4000000000016644 1
+52 0 0.2000000000008322 1
+53 1 0.7999999999999998 1
+54 1 0.6000000000013869 1
+55 1 0.4000000000016644 1
+56 1 0.2000000000008322 1
+57 0.4999999999999645 1 0.5000000000001071
+58 0.7125000000000925 1 0.7124999999998624
+59 0.7124999999997413 1 0.2874999999998948
+60 0.2875000000001854 1 0.7125000000002386
+61 0.2874999999997488 1 0.2875000000003063
+62 0.7960644531249482 1 0.4896739130440182
+63 0.4896739130439625 1 0.2039355468750786
+64 0.510326086956147 1 0.7960644531250415
+65 0.2039355468749854 1 0.5103260869562029
+66 0.8329166666666319 1 0.8329166666667185
+67 0.8329166666667223 1 0.1670833333334147
+68 0.1670833333332328 1 0.8329166666666079
+69 0.1670833333334388 1 0.167083333333229
+70 0.631656651255197 1 0.5696556884925242
+71 0.568965971682992 1 0.3685476922613717
+72 0.4244708316954214 1 0.6167953758399533
+73 0.3830470425016691 1 0.4245763388955089
+74 0.8674995349702277 1 0.3120627911496607
+75 0.3120627911496562 1 0.1325004650297961
+76 0.6879372088505648 1 0.867499534970254
+77 0.1325004650297699 1 0.6879372088505693
+78 0.8682962239583345 1 0.6870181159423971
+79 0.6870181159423625 1 0.1317037760416776
+80 0.3129818840576197 1 0.8682962239583777
+81 0.1317037760416346 1 0.3129818840576541
+82 0.4999999999993113 0.5000000000010838 1
+83 0.7125000000000623 0.712499999999832 1
+84 0.7124999999990244 0.2875000000008421 1
+85 0.2874999999992381 0.7125000000009557 1
+86 0.287500000000276 0.2874999999997185 1
+87 0.2039355468748514 0.4896739130444145 1
+88 0.48967391304292 0.7960644531254251 1
+89 0.7960644531247002 0.5103260869573525 1
+90 0.5103260869558739 0.2039355468753095 1
+91 0.8329166666666126 0.8329166666666993 1
+92 0.1570138888884685 0.8429861111115142 1
+93 0.8329166666661678 0.1670833333338826 1
+94 0.1670833333332096 0.1670833333334193 1
+95 0.6316566512544139 0.4303443115087245 1
+96 0.4244708316953891 0.3832046241606349 1
+97 0.568965971683042 0.6314523077392615 1
+98 0.3830470425010818 0.5754236611057874 1
+99 0.1325004650297499 0.312062791149706 1
+100 0.6870181159416031 0.8682962239583912 1
+101 0.8682962239579786 0.3129818840589147 1
+102 0.1296898871525116 0.6890320048316543 1
+103 0.6879372088501469 0.1325004650301178 1
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+$EndElements
diff --git a/test/io/gridcreator/grids/unitsquare.geo b/test/io/gridcreator/grids/unitsquare.geo
new file mode 100644
index 0000000000000000000000000000000000000000..1a31d85e0655589dfeb2e3e60ea587a42775f0d9
--- /dev/null
+++ b/test/io/gridcreator/grids/unitsquare.geo
@@ -0,0 +1,26 @@
+size = 0.2;
+Point(1) = {0.0, 0.0, 0.0, size};
+Point(2) = {1.0, 0.0, 0.0, size};
+Point(3) = {1.0, 1.0, 0.0, size};
+Point(4) = {0.0, 1.0, 0.0, size};
+
+Point(5) = {0.5, 0.0, 0.0, size};
+Point(6) = {0.5, 1.0, 0.0, size};
+
+Line(1) = {3, 6};
+Line(6) = {6, 4};
+Line(2) = {4, 1};
+Line(3) = {2, 5};
+Line(4) = {5, 1};
+Line(5) = {2, 3};
+Line(7) = {6, 5};
+
+Line Loop(8) = {6, 2, -4, -7};
+Plane Surface(9) = {8};
+Line Loop(10) = {1, 7, -3, 5};
+Plane Surface(11) = {10};
+
+Physical Surface(2) = {9};
+Physical Surface(1) = {11};
+
+Recombine Surface{9, 11};
diff --git a/test/io/gridcreator/grids/unitsquare_quad.msh b/test/io/gridcreator/grids/unitsquare_quad.msh
new file mode 100644
index 0000000000000000000000000000000000000000..4bd380eabccbbcf7aa19c6ca8e116af3b5c27ae5
--- /dev/null
+++ b/test/io/gridcreator/grids/unitsquare_quad.msh
@@ -0,0 +1,120 @@
+$MeshFormat
+2.2 0 8
+$EndMeshFormat
+$Nodes
+63
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+$Elements
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+$EndElements
diff --git a/test/io/gridcreator/grids/unitsquare_tri.msh b/test/io/gridcreator/grids/unitsquare_tri.msh
new file mode 100644
index 0000000000000000000000000000000000000000..332d78a78e687c3a89caacbbbfe16450f65ce224
--- /dev/null
+++ b/test/io/gridcreator/grids/unitsquare_tri.msh
@@ -0,0 +1,141 @@
+$MeshFormat
+2.2 0 8
+$EndMeshFormat
+$Nodes
+52
+1 0 0 0
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+$Elements
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+$EndElements
diff --git a/test/io/gridcreator/test_gridcreator_dgf_e_markers.cc b/test/io/gridcreator/test_gridcreator_dgf_e_markers.cc
new file mode 100644
index 0000000000000000000000000000000000000000..e1e9ada10e8af29f085dc216bc858ea0989b070a
--- /dev/null
+++ b/test/io/gridcreator/test_gridcreator_dgf_e_markers.cc
@@ -0,0 +1,48 @@
+/*****************************************************************************
+ *   See the file COPYING for full copying permissions.                      *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the            *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for gmsh interface of the grid creator
+ */
+#include <config.h>
+#include <iostream>
+
+#include <dune/common/parallel/mpihelper.hh>
+#include <dumux/common/parameters.hh>
+
+#include "gridcreatortests.hh"
+
+int main(int argc, char** argv) try
+{
+    Dune::MPIHelper::instance(argc, argv);
+
+    Dumux::Parameters::init(argc, argv, "test_gridcreator_dgf_e_markers.input");
+
+    auto name = Dumux::getParam<std::string>("Problem.Name");
+    Dumux::GridCreatorTests<GRIDTYPE>::testElementMarkers("dgf", name);
+
+    return 0;
+}
+catch (Dumux::ParameterException &e) {
+    std::cerr << e << ". Abort!\n";
+    return 1;
+}
+catch (Dune::Exception &e) {
+    std::cerr << "Dune reported error: " << e << std::endl;
+    return 3;
+}
diff --git a/test/io/gridcreator/test_gridcreator_dgf_e_markers.input b/test/io/gridcreator/test_gridcreator_dgf_e_markers.input
new file mode 100644
index 0000000000000000000000000000000000000000..b0f48afe8c595b215e4b0853256966d145d6e381
--- /dev/null
+++ b/test/io/gridcreator/test_gridcreator_dgf_e_markers.input
@@ -0,0 +1,2 @@
+[Grid]
+File = ./grids/heterogeneousSmall.dgf
diff --git a/test/io/gridcreator/test_gridcreator_gmsh.cc b/test/io/gridcreator/test_gridcreator_gmsh.cc
deleted file mode 100644
index 721ecc15d851899e9a3188b834b8c4bc2ec56b7a..0000000000000000000000000000000000000000
--- a/test/io/gridcreator/test_gridcreator_gmsh.cc
+++ /dev/null
@@ -1,144 +0,0 @@
-/*****************************************************************************
- *   See the file COPYING for full copying permissions.                      *
- *                                                                           *
- *   This program is free software: you can redistribute it and/or modify    *
- *   it under the terms of the GNU General Public License as published by    *
- *   the Free Software Foundation, either version 2 of the License, or       *
- *   (at your option) any later version.                                     *
- *                                                                           *
- *   This program is distributed in the hope that it will be useful,         *
- *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
- *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the            *
- *   GNU General Public License for more details.                            *
- *                                                                           *
- *   You should have received a copy of the GNU General Public License       *
- *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
- *****************************************************************************/
-/*!
- * \file
- *
- * \brief Test for gmsh interface of the grid creator
- */
-#include <config.h>
-#include <iostream>
-
-#include <dune/geometry/referenceelements.hh>
-#include <dune/grid/io/file/vtk.hh>
-#include <dune/grid/common/mcmgmapper.hh>
-#include <dune/common/parallel/mpihelper.hh>
-
-#include <dumux/common/properties.hh>
-#include <dumux/common/parameters.hh>
-#include <dumux/io/gridcreator.hh>
-#include <dumux/discretization/methods.hh>
-
-namespace Dumux {
-
-namespace Properties
-{
-    NEW_TYPE_TAG(GridCreatorGmshTest);
-    SET_TYPE_PROP(GridCreatorGmshTest, Grid, Dune::UGGrid<3>);
-    SET_TYPE_PROP(GridCreatorGmshTest, Scalar, double);
-    SET_PROP(GridCreatorGmshTest, FVGridGeometry) {
-        struct GG {
-            static constexpr DiscretizationMethod discMethod = DiscretizationMethod::cctpfa;
-        };
-        using type = GG;
-    };
-}
-
-template<class TypeTag>
-class GridCreatorGmshTest
-{
-    using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
-    using Grid = typename GET_PROP_TYPE(TypeTag, Grid);
-    static const int dim = Grid::dimension;
-    using GridCreator = typename Dumux::GridCreator<TypeTag>;
-    using ReferenceElements = typename Dune::ReferenceElements<Scalar, dim>;
-    using VertexMapper = typename Dune::MultipleCodimMultipleGeomTypeMapper<typename Grid::LeafGridView>;
-
-public:
-
-    static void getBoundaryDomainMarkers(std::vector<int>& boundaryMarker)
-    {
-        const auto& gridView = GridCreator::grid().leafGridView();
-        VertexMapper vertexMapper(gridView, Dune::mcmgVertexLayout());
-
-        boundaryMarker.clear();
-        boundaryMarker.resize(gridView.size(dim));
-        for(auto eIt = gridView.template begin<0>(); eIt != gridView.template end<0>(); ++eIt)
-        {
-            for(auto isIt = gridView.ibegin(*eIt); isIt != gridView.iend(*eIt); ++isIt)
-            {
-                if(!isIt->boundary())
-                    continue;
-
-                const auto refElement = ReferenceElements::general(eIt->geometry().type());
-
-                // loop over vertices of the intersection facet
-                for(int vIdx = 0; vIdx < refElement.size(isIt->indexInInside(), 1, dim); vIdx++)
-                {
-                    // get local vertex index with respect to the element
-                    int vIdxLocal = refElement.subEntity(isIt->indexInInside(), 1, vIdx, dim);
-                    int vIdxGlobal = vertexMapper.subIndex(*eIt, vIdxLocal, dim);
-
-                    // make sure we always take the lowest non-zero marker (problem dependent!)
-                    if (boundaryMarker[vIdxGlobal] == 0)
-                        boundaryMarker[vIdxGlobal] = GridCreator::getBoundaryDomainMarker(isIt->boundarySegmentIndex());
-                    else
-                    {
-                        if (boundaryMarker[vIdxGlobal] > GridCreator::getBoundaryDomainMarker(isIt->boundarySegmentIndex()))
-                            boundaryMarker[vIdxGlobal] = GridCreator::getBoundaryDomainMarker(isIt->boundarySegmentIndex());
-                    }
-                }
-            }
-        }
-    }
-};
-
-}
-
-int main(int argc, char** argv) try
-{
-
-    // initialize MPI, finalize is done automatically on exit
-    Dune::MPIHelper::instance(argc, argv);
-
-    // using declarations
-    using TypeTag = TTAG(GridCreatorGmshTest);
-    using Grid = typename GET_PROP_TYPE(TypeTag, Grid);
-    using GridCreator = typename Dumux::GridCreator<TypeTag>;
-
-    // Read the parameters from the input file
-    Dumux::Parameters::init(argc, argv, "test_gridcreator_gmsh.input");
-
-    // Make the grid
-    GridCreator::makeGrid("Bifurcation");
-
-    // Read the boundary markers and convert them to vertex flags (e.g. for use in a box method)
-    // Write a map from vertex position to boundaryMarker
-    std::vector<int> boundaryMarker;
-    Dumux::GridCreatorGmshTest<TypeTag>::getBoundaryDomainMarkers(boundaryMarker);
-
-    // construct a vtk output writer and attach the boundaryMakers
-    Dune::VTKSequenceWriter<Grid::LeafGridView> vtkWriter(GridCreator::grid().leafGridView(), "bifurcation", ".", "");
-    vtkWriter.addVertexData(boundaryMarker, "boundaryMarker");
-    vtkWriter.write(0);
-
-    // refine grid once. Due to parametrized boundaries this will result in a grid closer to the orginal geometry.
-    GridCreator::grid().globalRefine(1);
-    Dumux::GridCreatorGmshTest<TypeTag>::getBoundaryDomainMarkers(boundaryMarker);
-    vtkWriter.write(1);
-}
-catch (Dumux::ParameterException &e) {
-    std::cerr << e << ". Abort!\n";
-    return 1;
-}
-catch (Dune::Exception &e) {
-    std::cerr << "Dune reported error: " << e << std::endl;
-    return 3;
-}
-catch (...) {
-    std::cerr << "Unknown exception thrown!\n";
-    return 4;
-}
diff --git a/test/io/gridcreator/test_gridcreator_gmsh_3d.cc b/test/io/gridcreator/test_gridcreator_gmsh_3d.cc
new file mode 100644
index 0000000000000000000000000000000000000000..9d2eb30e257c4bdc8f9b28ae714a535c3c456638
--- /dev/null
+++ b/test/io/gridcreator/test_gridcreator_gmsh_3d.cc
@@ -0,0 +1,53 @@
+/*****************************************************************************
+ *   See the file COPYING for full copying permissions.                      *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the            *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for gmsh interface of the grid creator
+ */
+#include <config.h>
+#include <iostream>
+
+#include <dune/common/parallel/mpihelper.hh>
+#include <dumux/common/parameters.hh>
+
+#include "gridcreatortests.hh"
+
+int main(int argc, char** argv) try
+{
+    using namespace Dumux;
+    // initialize MPI, finalize is done automatically on exit
+    Dune::MPIHelper::instance(argc, argv);
+    Parameters::init(argc, argv, "test_gridcreator_gmsh_3d.input");
+    const auto name = getParam<std::string>("Problem.Name");
+    const auto refine = Dumux::getParam<bool>("Grid.Refine", true);
+    GridCreatorTests<GRIDTYPE>::testBoundaryAndElementMarkers("gmsh", name, refine);
+
+    return 0;
+}
+catch (Dumux::ParameterException &e) {
+    std::cerr << e << ". Abort!\n";
+    return 1;
+}
+catch (Dune::Exception &e) {
+    std::cerr << "Dune reported error: " << e << std::endl;
+    return 3;
+}
+catch (...) {
+    std::cerr << "Unknown exception thrown!\n";
+    return 4;
+}
diff --git a/test/io/gridcreator/test_gridcreator_gmsh.input b/test/io/gridcreator/test_gridcreator_gmsh_3d.input
similarity index 91%
rename from test/io/gridcreator/test_gridcreator_gmsh.input
rename to test/io/gridcreator/test_gridcreator_gmsh_3d.input
index 3dac14b3b677d29a6a3bcb86a32371131f0dc7e7..04f5a741b4f7b5e5f195159859dcd40be5773f3b 100644
--- a/test/io/gridcreator/test_gridcreator_gmsh.input
+++ b/test/io/gridcreator/test_gridcreator_gmsh_3d.input
@@ -1,4 +1,4 @@
-[Bifurcation.Grid]
+[Grid]
 File = ./grids/bifurcation.msh
 Verbosity = 1 # verbose grid file parsing
 BoundarySegments = 1 # read parametrized boundary segments
diff --git a/test/io/gridcreator/test_gridcreator_gmsh_e_markers.cc b/test/io/gridcreator/test_gridcreator_gmsh_e_markers.cc
new file mode 100644
index 0000000000000000000000000000000000000000..f39dd3d6e95d5ca7bb70b1b875ad1a5c28e60993
--- /dev/null
+++ b/test/io/gridcreator/test_gridcreator_gmsh_e_markers.cc
@@ -0,0 +1,48 @@
+/*****************************************************************************
+ *   See the file COPYING for full copying permissions.                      *
+ *                                                                           *
+ *   This program is free software: you can redistribute it and/or modify    *
+ *   it under the terms of the GNU General Public License as published by    *
+ *   the Free Software Foundation, either version 2 of the License, or       *
+ *   (at your option) any later version.                                     *
+ *                                                                           *
+ *   This program is distributed in the hope that it will be useful,         *
+ *   but WITHOUT ANY WARRANTY; without even the implied warranty of          *
+ *   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the            *
+ *   GNU General Public License for more details.                            *
+ *                                                                           *
+ *   You should have received a copy of the GNU General Public License       *
+ *   along with this program.  If not, see <http://www.gnu.org/licenses/>.   *
+ *****************************************************************************/
+/*!
+ * \file
+ *
+ * \brief Test for gmsh interface of the grid creator
+ */
+#include <config.h>
+#include <iostream>
+
+#include <dune/common/parallel/mpihelper.hh>
+#include <dumux/common/parameters.hh>
+
+#include "gridcreatortests.hh"
+
+int main(int argc, char** argv) try
+{
+    Dune::MPIHelper::instance(argc, argv);
+
+    Dumux::Parameters::init(argc, argv, "test_gridcreator_gmsh_e_markers.input");
+
+    auto name = Dumux::getParam<std::string>("Problem.Name");
+    Dumux::GridCreatorTests<GRIDTYPE>::testElementMarkers("gmsh", name);
+
+    return 0;
+}
+catch (Dumux::ParameterException &e) {
+    std::cerr << e << ". Abort!\n";
+    return 1;
+}
+catch (Dune::Exception &e) {
+    std::cerr << "Dune reported error: " << e << std::endl;
+    return 3;
+}
diff --git a/test/io/gridcreator/test_gridcreator_gmsh_e_markers.input b/test/io/gridcreator/test_gridcreator_gmsh_e_markers.input
new file mode 100644
index 0000000000000000000000000000000000000000..65c8e3e4dfeb85fb98f5762614dae3136a8bd83b
--- /dev/null
+++ b/test/io/gridcreator/test_gridcreator_gmsh_e_markers.input
@@ -0,0 +1,4 @@
+[Grid]
+File = ./grids/complex_equi_coarse_tri.msh
+Verbosity = 1 # verbose grid file parsing
+DomainMarkers = true # read domain markers (gmsh physical entities)
diff --git a/test/porousmediumflow/richards/implicit/CMakeLists.txt b/test/porousmediumflow/richards/implicit/CMakeLists.txt
index 34d608c47193abd7f6bf8bb4ebf5fa15d3e01be4..435ff34dd10c2272f28e2cc3e3b71bffb361e80b 100644
--- a/test/porousmediumflow/richards/implicit/CMakeLists.txt
+++ b/test/porousmediumflow/richards/implicit/CMakeLists.txt
@@ -6,24 +6,29 @@ target_compile_definitions(test_richards_tpfa PUBLIC TYPETAG=RichardsLensCCTypeT
 add_executable(test_richards_box EXCLUDE_FROM_ALL test_richardslens_fv.cc)
 target_compile_definitions(test_richards_box PUBLIC TYPETAG=RichardsLensBoxTypeTag)
 
-if(MPI_FOUND)
 dune_add_test(NAME test_richards_box_parallel
               TARGET test_richards_box
+              CMAKE_GUARD MPI_FOUND
               COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
-              CMD_ARGS --script fuzzy
+              CMD_ARGS --script fuzzy --zeroThreshold {"process rank":100}
                        --files ${CMAKE_SOURCE_DIR}/test/references/richardslensbox-reference-parallel.vtu
                                ${CMAKE_CURRENT_BINARY_DIR}/s0002-p0000-test_richards_box_parallel-00008.vtu
-                       --command "${MPIEXEC} -np 2 ${CMAKE_CURRENT_BINARY_DIR}/test_richards_box test_richardslens.input -Problem.Name test_richards_box_parallel")
+                               ${CMAKE_SOURCE_DIR}/test/references/richardslensbox-reference.vtu
+                               ${CMAKE_CURRENT_BINARY_DIR}/s0002-test_richards_box_parallel-00008.pvtu
+                       --command "${MPIEXEC} -np 2 ${CMAKE_CURRENT_BINARY_DIR}/test_richards_box test_richardslens.input -Problem.Name test_richards_box_parallel -Grid.Overlap 0")
 
 
 dune_add_test(NAME test_richards_tpfa_parallel
               TARGET test_richards_tpfa
+              CMAKE_GUARD MPI_FOUND
               COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
-              CMD_ARGS --script fuzzy
+              CMD_ARGS --script fuzzy --zeroThreshold {"process rank":100}
                       --files ${CMAKE_SOURCE_DIR}/test/references/richardslenscc-reference-parallel.vtu
                               ${CMAKE_CURRENT_BINARY_DIR}/s0002-p0000-test_richards_tpfa_parallel-00007.vtu
-                      --command "${MPIEXEC} -np 2 ${CMAKE_CURRENT_BINARY_DIR}/test_richards_tpfa test_richardslens.input -Problem.Name test_richards_tpfa_parallel")
-endif()
+                              ${CMAKE_SOURCE_DIR}/test/references/richardslenscc-reference.vtu
+                              ${CMAKE_CURRENT_BINARY_DIR}/s0002-test_richards_tpfa_parallel-00007.pvtu
+                      --command "${MPIEXEC} -np 2 ${CMAKE_CURRENT_BINARY_DIR}/test_richards_tpfa test_richardslens.input -Problem.Name test_richards_tpfa_parallel -Grid.Overlap 1")
+
 # isothermal tests
 dune_add_test(TARGET test_richards_box
               COMMAND ${CMAKE_SOURCE_DIR}/bin/testing/runtest.py
diff --git a/test/references/bifurcation_alu-reference.vtu b/test/references/bifurcation_alu-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..ebe726153da6b792cacbb2e8bdbd705c924d6781
--- /dev/null
+++ b/test/references/bifurcation_alu-reference.vtu
@@ -0,0 +1,1716 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian">
+  <UnstructuredGrid>
+    <Piece NumberOfCells="2228" NumberOfPoints="599">
+      <PointData Scalars="boundaryMarker">
+        <DataArray type="Float32" Name="boundaryMarker" NumberOfComponents="1" format="ascii">
+          3 3 3 4 3 4 0 4 4 4 4 4
+          4 4 4 4 4 4 4 4 4 0 4 4
+          4 0 4 4 4 0 4 0 4 4 0 4
+          4 4 0 4 3 3 4 3 3 3 4 4
+          4 4 4 4 4 4 4 4 0 4 0 4
+          4 0 0 4 4 4 4 4 4 4 0 0
+          0 4 4 0 0 4 4 0 4 4 4 4
+          4 0 4 0 4 4 0 4 4 0 0 4
+          4 4 0 4 0 4 0 4 4 4 4 0
+          4 4 0 0 0 0 0 0 4 4 0 4
+          0 0 4 0 0 0 0 4 4 0 0 0
+          0 0 4 0 4 4 0 0 4 4 0 0
+          4 0 0 0 4 0 4 4 4 4 0 4
+          4 0 0 0 0 0 0 4 4 4 4 4
+          4 4 4 0 4 4 0 4 4 0 0 4
+          4 4 4 4 4 0 4 4 4 4 4 4
+          4 2 2 2 4 4 4 4 4 4 4 4
+          4 4 4 4 0 2 4 4 4 4 4 4
+          4 4 4 4 4 4 4 2 2 4 4 4
+          4 4 4 4 4 2 2 2 4 4 4 4
+          4 4 4 4 0 0 4 4 0 4 4 4
+          4 4 4 4 4 4 4 4 0 0 0 4
+          4 4 4 0 0 0 4 4 4 0 4 4
+          4 0 0 0 0 0 0 4 4 0 0 4
+          4 4 0 4 4 4 4 4 4 4 4 0
+          4 4 4 4 4 0 4 4 0 4 0 4
+          0 0 4 4 0 4 4 4 0 0 4 4
+          0 4 4 4 4 4 4 4 4 4 4 4
+          4 4 4 4 4 4 4 1 1 1 1 4
+          1 1 4 4 4 4 4 4 4 4 4 4
+          4 4 0 4 0 4 0 0 0 0 0 4
+          0 0 0 0 0 0 4 4 0 4 0 0
+          0 4 4 0 4 0 4 4 0 0 0 4
+          4 4 4 4 4 4 0 4 4 4 4 4
+          1 4 1 4 4 4 4 4 4 1 4 4
+          4 0 4 4 1 4 4 4 1 4 4 4
+          4 4 4 4 4 0 0 0 4 4 4 4
+          4 4 4 0 4 4 0 4 4 0 4 0
+          4 4 0 0 0 4 4 4 4 4 4 1
+          4 4 4 4 4 4 4 4 0 4 4 4
+          4 0 4 4 0 4 4 4 4 4 4 4
+          4 4 4 4 4 4 4 4 0 4 4 0
+          4 4 4 4 4 4 4 4 4 2 2 4
+          2 4 0 4 4 4 2 4 4 4 4 4
+          4 4 4 4 4 4 4 4 0 4 4 0
+          4 0 4 4 4 4 0 0 4 4 4 0
+          4 4 4 0 4 0 0 0 4 4 4 4
+          4 4 4 4 0 4 0 4 4 4 4 4
+          4 4 4 4 4 4 4 4 4 4 4 4
+          4 3 3 4 3 0 4 4 3 4 4
+        </DataArray>
+      </PointData>
+      <CellData Scalars="elementMarker">
+        <DataArray type="Float32" Name="elementMarker" NumberOfComponents="1" format="ascii">
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 1
+          1 1 1 1 1 1 1 1 2 2 1 1
+          1 1 1 1 1 1 1 1 2 1 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 1 1 1 1 1 1 1
+          1 3 1 1 1 1 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 1 1 1
+          3 1 1 1 1 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 1
+          1 1 1 1 1 1 1 1 1 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 1 1 1
+          1 1 1 1 1 1 1 1 1 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 1 1
+          1 1 1 1 1 1 1 1 1 1 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 1 1 3 1 1 1 1
+          1 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 1 1
+          1 1 1 1 1 3 1 1 1 1 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 3 3 3 3 3 3
+          3 3 3 3 3 3 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 1
+          2 1 1 1 1 1 1 1 2 1 2 1
+          1 1 1 1 1 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 1 1 1 1 1 1 1
+          1 1 1 1 1 1 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2 2 2 2 2
+          2 2 2 2 2 2 2 2
+        </DataArray>
+        <DataArray type="Float32" Name="rank" NumberOfComponents="1" format="ascii">
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
+          0 0 0 0 0 0 0 0 0 0 0 0
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diff --git a/test/references/bifurcation-reference-refined.vtu b/test/references/bifurcation_ug-reference-refined.vtu
similarity index 87%
rename from test/references/bifurcation-reference-refined.vtu
rename to test/references/bifurcation_ug-reference-refined.vtu
index 940f7269ca747616e397fc35e4dfd572024ea71b..8782358836175404259fdeeef28967fd59f20179 100644
--- a/test/references/bifurcation-reference-refined.vtu
+++ b/test/references/bifurcation_ug-reference-refined.vtu
@@ -329,6 +329,2984 @@
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diff --git a/test/references/bifurcation-reference.vtu b/test/references/bifurcation_ug-reference.vtu
similarity index 86%
rename from test/references/bifurcation-reference.vtu
rename to test/references/bifurcation_ug-reference.vtu
index 2fb88a59aedd680562ce35a366d48ead68f2c7c9..8d5700fa270ccc7e95369ac02aaddfa07280180f 100644
--- a/test/references/bifurcation-reference.vtu
+++ b/test/references/bifurcation_ug-reference.vtu
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diff --git a/test/references/fracture_alu-reference.vtu b/test/references/fracture_alu-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..8bca9db687030078ef645a0090c285d59bf74ad5
--- /dev/null
+++ b/test/references/fracture_alu-reference.vtu
@@ -0,0 +1,4083 @@
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diff --git a/test/references/fracture_ug-reference.vtu b/test/references/fracture_ug-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..4a52857a7da6f0002df96e839ef9c3b66172cd2a
--- /dev/null
+++ b/test/references/fracture_ug-reference.vtu
@@ -0,0 +1,4083 @@
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diff --git a/test/references/gridcreator-co2_alu-reference-refined.vtu b/test/references/gridcreator-co2_alu-reference-refined.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..2578b8a98986acd08d1053361c04144f277d3c90
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diff --git a/test/references/gridcreator-co2_alu-reference.vtu b/test/references/gridcreator-co2_alu-reference.vtu
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index 0000000000000000000000000000000000000000..f7e8afa5e38b88718fd0ba3e3d0e0651faa39051
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diff --git a/test/references/gridcreator-co2_ug-reference-refined.vtu b/test/references/gridcreator-co2_ug-reference-refined.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..7874da255cb97fa7fa6f8aaa22643ed57ede60e4
--- /dev/null
+++ b/test/references/gridcreator-co2_ug-reference-refined.vtu
@@ -0,0 +1,13538 @@
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diff --git a/test/references/gridcreator-co2_ug-reference.vtu b/test/references/gridcreator-co2_ug-reference.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..5a0a7e484688a09c3a449be815afa3fbce9b3be8
--- /dev/null
+++ b/test/references/gridcreator-co2_ug-reference.vtu
@@ -0,0 +1,3421 @@
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+      </Cells>
+    </Piece>
+  </UnstructuredGrid>
+</VTKFile>