diff --git a/lecture/mm/fuelcell/fuelcell.input b/lecture/mm/fuelcell/fuelcell.input
index 26fcd57cb68c323fe56c1a9363b162c365779264..f9758de0f29289a4d8a721d737d7144879d26103 100644
--- a/lecture/mm/fuelcell/fuelcell.input
+++ b/lecture/mm/fuelcell/fuelcell.input
@@ -4,12 +4,8 @@ MaxTimeStepSize = 20
 TEnd = 20 #equilibrium time
 
 [Grid]
-NumberOfCellsX =  35
-NumberOfCellsY =  140
-LowerLeftX = 0.0
-LowerLeftY = 0.0
-UpperRightX = 5.0e-4
-UpperRightY = 2.0e-3
+Cells = 35 140
+UpperRight = 5.0e-4 2.0e-3
 
 [Problem]
 Name = fuelcell
@@ -20,7 +16,7 @@ PressureHigh = 3e7 # [Pa] upper pressure limit for tabularization
 TemperatureLow = 300.15 # 330.15 # [Pa] lower temperature limit for tabularization
 TemperatureHigh = 400.15 # 360.15 # [Pa] upper temperature limit for tabularization
 InitialTemperature = 343.15  #[K]
-ReactionLayerWidth = 0.00005 #[m]
+ReactionLayerWidth = 5e-5 #[m]
 
 [Vtk]
 AddVelocity = true
diff --git a/lecture/mm/fuelcell/fuelcellproblem.hh b/lecture/mm/fuelcell/fuelcellproblem.hh
index 9fc6b85f32a7dbadef287c4b5d7d19d3666be640..9dd1fa35d615f565a1dc73b1fd2fc1de17af4901 100644
--- a/lecture/mm/fuelcell/fuelcellproblem.hh
+++ b/lecture/mm/fuelcell/fuelcellproblem.hh
@@ -28,7 +28,6 @@
 #include <dumux/porousmediumflow/2pnc/implicit/model.hh>
 #include <dumux/material/fluidsystems/h2on2o2.hh>
 #include <dumux/material/constants.hh>
-#include <dumux/io/cubegridcreator.hh>
 
 #if !ISOTHERMAL
 #include <dumux/material/chemistry/electrochemistry/electrochemistryni.hh>
@@ -56,9 +55,6 @@ NEW_TYPE_TAG(FuelCellLectureProblem, INHERITS_FROM(BoxTwoPNCNI, FuelCellLectureS
 // Set the grid type
 SET_TYPE_PROP(FuelCellLectureProblem, Grid, Dune::YaspGrid<2>);
 
-// Set the grid creator
-SET_TYPE_PROP(FuelCellLectureProblem, GridCreator, Dumux::CubeGridCreator<TypeTag>);
-
 // Set the problem property
 SET_TYPE_PROP(FuelCellLectureProblem, Problem, Dumux::FuelCellLectureProblem<TypeTag>);
 
@@ -174,12 +170,6 @@ public:
         pgInlet2_            = GET_RUNTIME_PARAM(TypeTag, Scalar, OperationalConditions.GasPressureInlet2);
         swInlet_            = GET_RUNTIME_PARAM(TypeTag, Scalar, OperationalConditions.LiquidWaterSaturationInlet);
 
-        bBoxMin_[0] = GET_RUNTIME_PARAM(TypeTag, Scalar, Grid.LowerLeftX);
-        bBoxMin_[1] = GET_RUNTIME_PARAM(TypeTag, Scalar, Grid.LowerLeftY);
-
-        bBoxMax_[0] = GET_RUNTIME_PARAM(TypeTag, Scalar, Grid.UpperRightX);
-        bBoxMax_[1] = GET_RUNTIME_PARAM(TypeTag, Scalar, Grid.UpperRightY);
-
         eps_ = 1e-6;
 
         // initialize the tables of the fluid system
@@ -230,7 +220,12 @@ public:
         Scalar reactionLayerWidth = GET_RUNTIME_PARAM(TypeTag, Scalar, Problem.ReactionLayerWidth);
 
         if(globalPos[0] < reactionLayerWidth + eps_)
-            ElectroChemistry::reactionSource(values, volVars);
+        {
+            // Hack: division by two to get to the (wrongly implemented) current density
+            // of the Acosta paper fuelcell model
+            auto currentDensity = ElectroChemistry::calculateCurrentDensity(volVars)/2;
+            ElectroChemistry::reactionSource(values, currentDensity);
+        }
     }
     // \}
 
@@ -367,20 +362,13 @@ public:
      *if wPhaseOnly, set initial values for pg (pressureIdx), xN2l (switchIdx), xO2l [mol/m3] (switchIdx+1)
      */
 
-    int initialPhasePresence(const Vertex &vertex,
-                             int &globalIdx,
-                             const GlobalPosition &globalPos) const
+    int initialPhasePresence(const Element& element,
+                             const FVElementGeometry& fvGeometry,
+                             unsigned int scvIdx) const
     {
         return Indices::bothPhases;
     }
 
-
-    // \}
-    const GlobalPosition& bBoxMax()
-    {
-        return bBoxMax_;
-    }
-
     /*!
      * \brief Returns true if a VTK output file should be written.
      */
@@ -411,41 +399,47 @@ public:
 #if !ISOTHERMAL
         ScalarField *reactionSourceTemp = this->resultWriter().allocateManagedBuffer (numDofs);
 #endif
-        for (auto eIt = this->gridView().template begin<0>(); eIt != this->gridView().template end<0>(); ++eIt)
+        for (const auto& element : elements(this->gridView()))
         {
             FVElementGeometry fvGeometry;
-            fvGeometry.update(this->gridView(), *eIt);
+            fvGeometry.update(this->gridView(), element);
 
             ElementVolumeVariables elemVolVars;
             elemVolVars.update(*this,
-                               *eIt,
+                               element,
                                fvGeometry,
                                false /* oldSol? */);
 
             for (int scvIdx = 0; scvIdx < fvGeometry.numScv; ++scvIdx)
             {
-                int dofIdxGlobal = this->model().dofMapper().subIndex(*eIt, scvIdx, dofCodim);
+                int dofIdxGlobal = this->model().dofMapper().subIndex(element, scvIdx, dofCodim);
 
                 //reactionSource Output
-                PrimaryVariables source;
-                this->solDependentSource(source, *eIt, fvGeometry, scvIdx, elemVolVars);
-
-                (*reactionSourceH2O)[dofIdxGlobal] = source[wPhaseIdx];
-                (*reactionSourceO2)[dofIdxGlobal] = source[numComponents-1];
+                const GlobalPosition& globalPos = element.geometry().corner(scvIdx);
+                static Scalar reactionLayerWidth = GET_RUNTIME_PARAM(TypeTag, Scalar, Problem.ReactionLayerWidth);
+                PrimaryVariables source(0.0);
+                if(globalPos[0] < reactionLayerWidth + eps_)
+                {
+                    // Hack for Acosta solution (see solDependetSource comment)
+                    auto i = ElectroChemistry::calculateCurrentDensity(elemVolVars[scvIdx])/2;
+                    ElectroChemistry::reactionSource(source, i);
+
+                    (*reactionSourceH2O)[dofIdxGlobal] = source[wPhaseIdx];
+                    (*reactionSourceO2)[dofIdxGlobal] = source[numComponents-1];
 #if !ISOTHERMAL
-                (*reactionSourceTemp)[dofIdxGlobal] = source[numComponents];
+                    (*reactionSourceTemp)[dofIdxGlobal] = source[numComponents];
 #endif
-                //Current Output
-                (*currentDensity)[dofIdxGlobal] = -1.0*source[numComponents-1]*4*Constant::F;
-                //recorrection of the area for output
-                Scalar gridYMin = 0.0;
-                Scalar gridYMax = GET_RUNTIME_PARAM(TypeTag, Scalar, Grid.UpperRightY);
-                Scalar nCellsY  = GET_RUNTIME_PARAM(TypeTag, Scalar, Grid.NumberOfCellsY);
-
-                Scalar lengthBox = (gridYMax - gridYMin)/nCellsY;
-
-                // Only works for box
-                (*currentDensity)[dofIdxGlobal] = (*currentDensity)[dofIdxGlobal]/2*lengthBox/10000; //i in [A/cm^2]
+                    (*currentDensity)[dofIdxGlobal] = i/10000;
+                }
+                else
+                {
+                    (*reactionSourceH2O)[dofIdxGlobal] = 0.0;
+                    (*reactionSourceO2)[dofIdxGlobal] = 0.0;
+#if !ISOTHERMAL
+                    (*reactionSourceTemp)[dofIdxGlobal] = 0.0;
+#endif
+                    (*currentDensity)[dofIdxGlobal] = 0.0;
+                }
             }
 
         }
@@ -492,9 +486,6 @@ private:
     Scalar pressureLow_, pressureHigh_;
     Scalar temperatureLow_, temperatureHigh_;
 
-    GlobalPosition bBoxMin_;
-    GlobalPosition bBoxMax_;
-
     Scalar pO2Inlet_;
     Scalar pgInlet1_;
     Scalar pgInlet2_;
diff --git a/lecture/references/fuelcell-reference.vtu b/lecture/references/fuelcell-reference.vtu
index 80072ff4a2ecc12b2e9b3e85d48b8f98a9f726d5..969fe26040ed23b8fce72b0a545fde6dc505b7c7 100644
--- a/lecture/references/fuelcell-reference.vtu
+++ b/lecture/references/fuelcell-reference.vtu
@@ -4678,431 +4678,6 @@
           343.702 343.68 343.657 343.633 343.61 343.587 343.563 343.54 343.516 343.492 343.468 343.444
           343.42 343.396 343.371 343.347 343.323 343.298 343.273 343.249 343.224 343.199 343.175 343.15
         </DataArray>
-        <DataArray type="Float32" Name="boxVolume" NumberOfComponents="1" format="ascii">
-          5.10204e-11 1.02041e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10
-          1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10
-          1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10
-          1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10
-          1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10
-          1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 1.02041e-10 2.04082e-10 5.10204e-11 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 1.02041e-10
-          1.02041e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
-          2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10 2.04082e-10
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           5.2e-11 5.2e-11 5.2e-11 5.2e-11 5.2e-11 5.2e-11 5.2e-11 5.2e-11 5.2e-11 5.2e-11 5.2e-11 5.2e-11