diff --git a/test/porousmediumflow/2pnc/implicit/test_2pnc_fv.cc b/test/porousmediumflow/2pnc/implicit/test_2pnc_fv.cc
index 9b75b3116f2c9a82f31f0731bc9d44ffca2f5579..21750d4981c2680cb3fca3793e36fdd17fa8a795 100644
--- a/test/porousmediumflow/2pnc/implicit/test_2pnc_fv.cc
+++ b/test/porousmediumflow/2pnc/implicit/test_2pnc_fv.cc
@@ -41,8 +41,7 @@
 #include <dumux/common/defaultusagemessage.hh>
 
 #include <dumux/linear/amgbackend.hh>
-#include <dumux/nonlinear/newtonmethod.hh>
-#include <dumux/porousmediumflow/compositional/privarswitchnewtoncontroller.hh>
+#include <dumux/nonlinear/privarswitchnewtonsolver.hh>
 
 #include <dumux/assembly/fvassembler.hh>
 #include <dumux/assembly/diffmethod.hh>
@@ -128,7 +127,6 @@ int main(int argc, char** argv) try
     // get some time loop parameters
     using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
     const auto tEnd = getParam<Scalar>("TimeLoop.TEnd");
-    const auto maxDivisions = getParam<int>("TimeLoop.MaxTimeStepDivisions");
     const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize");
     auto dt = getParam<Scalar>("TimeLoop.DtInitial");
 
@@ -157,10 +155,9 @@ int main(int argc, char** argv) try
     auto linearSolver = std::make_shared<LinearSolver>(leafGridView, fvGridGeometry->dofMapper());
 
     // the non-linear solver
-    using NewtonController = PriVarSwitchNewtonController<TypeTag>;
-    using NewtonMethod = NewtonMethod<NewtonController, Assembler, LinearSolver>;
-    auto newtonController = std::make_shared<NewtonController>(timeLoop);
-    NewtonMethod nonLinearSolver(newtonController, assembler, linearSolver);
+    using NewtonSolver = PriVarSwitchNewtonSolver<Assembler, LinearSolver,
+                                                  typename GET_PROP_TYPE(TypeTag, PrimaryVariableSwitch)>;
+    NewtonSolver nonLinearSolver(assembler, linearSolver);
 
     // time loop
     timeLoop->start(); do
@@ -168,24 +165,8 @@ int main(int argc, char** argv) try
         // set previous solution for storage evaluations
         assembler->setPreviousSolution(xOld);
 
-        // try solving the non-linear system
-        for (int i = 0; i < maxDivisions; ++i)
-        {
-            // linearize & solve
-            auto converged = nonLinearSolver.solve(x);
-
-            if (converged)
-                break;
-
-            if (!converged && i == maxDivisions-1)
-                DUNE_THROW(Dune::MathError,
-                           "Newton solver didn't converge after "
-                           << maxDivisions
-                           << " time-step divisions. dt="
-                           << timeLoop->timeStepSize()
-                           << ".\nThe solutions of the current and the previous time steps "
-                           << "have been saved to restart files.");
-        }
+        // solve the non-linear system with time step control
+        nonLinearSolver.solve(x, *timeLoop);
 
         // make the new solution the old solution
         xOld = x;
@@ -203,8 +184,8 @@ int main(int argc, char** argv) try
         // report statistics of this time step
         timeLoop->reportTimeStep();
 
-        // set new dt as suggested by newton controller
-        timeLoop->setTimeStepSize(newtonController->suggestTimeStepSize(timeLoop->timeStepSize()));
+        // set new dt as suggested by the newton solver
+        timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
 
     } while (!timeLoop->finished());
 
diff --git a/test/porousmediumflow/2pnc/implicit/test_cc2pnc_diffusion.cc b/test/porousmediumflow/2pnc/implicit/test_cc2pnc_diffusion.cc
index 88ee0bfbbe0af2dbe61d95e6dfecece4ffa6c211..31870b972c8c13143b81ff9cbfb81d2d8e9296ea 100644
--- a/test/porousmediumflow/2pnc/implicit/test_cc2pnc_diffusion.cc
+++ b/test/porousmediumflow/2pnc/implicit/test_cc2pnc_diffusion.cc
@@ -41,8 +41,7 @@
 #include <dumux/common/defaultusagemessage.hh>
 
 #include <dumux/linear/amgbackend.hh>
-#include <dumux/nonlinear/newtonmethod.hh>
-#include <dumux/porousmediumflow/compositional/privarswitchnewtoncontroller.hh>
+#include <dumux/nonlinear/privarswitchnewtonsolver.hh>
 
 #include <dumux/assembly/fvassembler.hh>
 #include <dumux/assembly/diffmethod.hh>
@@ -126,7 +125,6 @@ int main(int argc, char** argv) try
     // get some time loop parameters
     using Scalar = typename GET_PROP_TYPE(TypeTag, Scalar);
     const auto tEnd = getParam<Scalar>("TimeLoop.TEnd");
-    const auto maxDivisions = getParam<int>("TimeLoop.MaxTimeStepDivisions");
     const auto maxDt = getParam<Scalar>("TimeLoop.MaxTimeStepSize");
     auto dt = getParam<Scalar>("TimeLoop.DtInitial");
 
@@ -154,10 +152,9 @@ int main(int argc, char** argv) try
     auto linearSolver =  std::make_shared<LinearSolver>(leafGridView, fvGridGeometry->dofMapper());
 
     // the non-linear solver
-    using NewtonController = PriVarSwitchNewtonController<TypeTag>;
-    using NewtonMethod = NewtonMethod<NewtonController, Assembler, LinearSolver>;
-    auto newtonController = std::make_shared<NewtonController>(timeLoop);
-    NewtonMethod nonLinearSolver(newtonController, assembler, linearSolver);
+    using NewtonSolver = PriVarSwitchNewtonSolver<Assembler, LinearSolver,
+                                                  typename GET_PROP_TYPE(TypeTag, PrimaryVariableSwitch)>;
+    NewtonSolver nonLinearSolver(assembler, linearSolver);
 
     // time loop
     timeLoop->start(); do
@@ -165,24 +162,8 @@ int main(int argc, char** argv) try
         // set previous solution for storage evaluations
         assembler->setPreviousSolution(xOld);
 
-        // try solving the non-linear system
-        for (int i = 0; i < maxDivisions; ++i)
-        {
-            // linearize & solve
-            auto converged = nonLinearSolver.solve(x);
-
-            if (converged)
-                break;
-
-            if (!converged && i == maxDivisions-1)
-                DUNE_THROW(Dune::MathError,
-                           "Newton solver didn't converge after "
-                           << maxDivisions
-                           << " time-step divisions. dt="
-                           << timeLoop->timeStepSize()
-                           << ".\nThe solutions of the current and the previous time steps "
-                           << "have been saved to restart files.");
-        }
+        // solve the non-linear system with time step control
+        nonLinearSolver.solve(x, *timeLoop);
 
         // make the new solution the old solution
         xOld = x;
@@ -197,8 +178,8 @@ int main(int argc, char** argv) try
         // report statistics of this time step
         timeLoop->reportTimeStep();
 
-        // set new dt as suggested by newton controller
-        timeLoop->setTimeStepSize(newtonController->suggestTimeStepSize(timeLoop->timeStepSize()));
+        // set new dt as suggested by the newton solver
+        timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
 
     } while (!timeLoop->finished());