diff --git a/src/mesh/Connectivity.cpp b/src/mesh/Connectivity.cpp
index fa6fae399c8548002931e0a91692c00b80fca232..391735aaa6e28f87b4910e0d803a123bd9fb28c0 100644
--- a/src/mesh/Connectivity.cpp
+++ b/src/mesh/Connectivity.cpp
@@ -109,17 +109,17 @@ void Connectivity<3>::_computeFaceCellConnectivities()
     m_cell_to_face_matrix = cell_to_face_vector;
   }
 
-  FaceValuePerCell<bool> cell_to_face_is_reversed(*this);
+  FaceValuePerCell<bool> cell_face_is_reversed(*this);
   {
     for (const auto& face_cells_vector : face_cells_map) {
       const auto& cells_vector = face_cells_vector.second;
       for (unsigned short lj=0; lj<cells_vector.size(); ++lj) {
         const auto& [cell_number, cell_local_face, reversed] = cells_vector[lj];
-        cell_to_face_is_reversed(cell_number, cell_local_face) = reversed;
+        cell_face_is_reversed(cell_number, cell_local_face) = reversed;
       }
     }
 
-    m_cell_to_face_is_reversed_matrix = cell_to_face_is_reversed;
+    m_cell_face_is_reversed = cell_face_is_reversed;
   }
 
   {
@@ -145,11 +145,11 @@ void Connectivity<3>::_computeFaceCellConnectivities()
   m_connectivity_computer.computeInverseConnectivityMatrix(m_cell_to_face_matrix,
                                                            m_face_to_cell_matrix);
 
-  m_face_to_cell_local_face_matrix = CellValuePerFace<unsigned short>(*this);
+  m_face_to_cell_local_face = CellValuePerFace<unsigned short>(*this);
 
   m_connectivity_computer.computeLocalChildItemNumberInItem(m_cell_to_face_matrix,
                                                             m_face_to_cell_matrix,
-                                                            m_face_to_cell_local_face_matrix);
+                                                            m_face_to_cell_local_face);
 
 #warning check that the number of cell per faces is <=2
   std::unordered_map<unsigned int, std::vector<unsigned int>> node_faces_map;
diff --git a/src/mesh/Connectivity.hpp b/src/mesh/Connectivity.hpp
index 3a3e44fc8a7b64be5c04590f749617cd42dc810d..64372ef3518c2b947f8a64c4a9d11fb07e2a04c4 100644
--- a/src/mesh/Connectivity.hpp
+++ b/src/mesh/Connectivity.hpp
@@ -232,14 +232,14 @@ public:
   ConnectivityMatrix m_cell_to_node_matrix;
 
   ConnectivityMatrix m_cell_to_face_matrix;
-  FaceValuePerCell<bool> m_cell_to_face_is_reversed_matrix;
+  FaceValuePerCell<bool> m_cell_face_is_reversed;
 
   ConnectivityMatrix m_face_to_cell_matrix;
-  CellValuePerFace<unsigned short> m_face_to_cell_local_face_matrix;
+  CellValuePerFace<unsigned short> m_face_to_cell_local_face;
   ConnectivityMatrix m_face_to_node_matrix;
 
   ConnectivityMatrix m_node_to_cell_matrix;
-  CellValuePerNode<unsigned short> m_node_to_cell_local_node_matrix;
+  CellValuePerNode<unsigned short> m_node_to_cell_local_node;
 
   template <TypeOfItem SubItemType,
             TypeOfItem ItemType>
@@ -351,11 +351,11 @@ private:
     m_connectivity_computer.computeInverseConnectivityMatrix(m_cell_to_node_matrix,
                                                              m_node_to_cell_matrix);
 
-    m_node_to_cell_local_node_matrix = CellValuePerNode<unsigned short>(*this);
+    m_node_to_cell_local_node = CellValuePerNode<unsigned short>(*this);
 
     m_connectivity_computer.computeLocalChildItemNumberInItem(m_cell_to_node_matrix,
                                                               m_node_to_cell_matrix,
-                                                              m_node_to_cell_local_node_matrix);
+                                                              m_node_to_cell_local_node);
     if constexpr (Dimension>1) {
       this->_computeFaceCellConnectivities();
     }
diff --git a/src/mesh/MeshData.hpp b/src/mesh/MeshData.hpp
index 2ad4ecc9a845dfd07d21d54c5efe5d96f4fce100..4351e61b082dd3d892a0eed23671b388b8857d9c 100644
--- a/src/mesh/MeshData.hpp
+++ b/src/mesh/MeshData.hpp
@@ -134,11 +134,11 @@ class MeshData
             node_id_to_local[cell_nodes(R)] = R;
           }
           const auto& cell_faces = m_mesh.connectivity().m_cell_to_face_matrix.rowConst(j);
-          const auto& cell_faces_is_reversed = m_mesh.connectivity().m_cell_to_face_is_reversed_matrix.itemValues(j);
+          const auto& cell_face_is_reversed = m_mesh.connectivity().m_cell_face_is_reversed.itemValues(j);
           for (size_t L=0; L<cell_faces.length; ++L) {
             const size_t l = cell_faces(L);
             const auto& face_nodes = m_mesh.connectivity().m_face_to_node_matrix.rowConst(l);
-            if (cell_faces_is_reversed[L]) {
+            if (cell_face_is_reversed[L]) {
               for (size_t rl = 0; rl<face_nodes.length; ++rl) {
                 m_Cjr(j, node_id_to_local[face_nodes(rl)]) -= Nlr(l,rl);
               }
diff --git a/src/scheme/AcousticSolver.hpp b/src/scheme/AcousticSolver.hpp
index 99e1743140e5bd11fe334f88e14c99b7bebe58d4..416d6c6426397896a2f9dfbc70fa8926715a3cc6 100644
--- a/src/scheme/AcousticSolver.hpp
+++ b/src/scheme/AcousticSolver.hpp
@@ -101,7 +101,7 @@ class AcousticSolver
     Kokkos::parallel_for(m_mesh.numberOfNodes(), KOKKOS_LAMBDA(const int& r) {
         Rdd sum = zero;
         const auto& node_to_cell = m_connectivity.m_node_to_cell_matrix.rowConst(r);
-        const auto& node_to_cell_local_node = m_connectivity.m_node_to_cell_local_node_matrix.itemValues(r);
+        const auto& node_to_cell_local_node = m_connectivity.m_node_to_cell_local_node.itemValues(r);
         for (size_t j=0; j<node_to_cell.length; ++j) {
           const unsigned int J = node_to_cell(j);
           const unsigned int R = node_to_cell_local_node[j];
@@ -123,7 +123,7 @@ class AcousticSolver
         Rd& br = m_br(r);
         br = zero;
         const auto& node_to_cell = m_connectivity.m_node_to_cell_matrix.rowConst(r);
-        const auto& node_to_cell_local_node = m_connectivity.m_node_to_cell_local_node_matrix.itemValues(r);
+        const auto& node_to_cell_local_node = m_connectivity.m_node_to_cell_local_node.itemValues(r);
         for (size_t j=0; j<node_to_cell.length; ++j) {
           const unsigned int J = node_to_cell(j);
           const unsigned int R = node_to_cell_local_node[j];