diff --git a/test/porousmediumflow/richards/implicit/test_ccrichardsanalytical.cc b/test/porousmediumflow/richards/implicit/test_ccrichardsanalytical.cc
index e5c0bd42a0de3bd93cf9cd07821540b9f0a36049..8b9be9df435726b7c1f96153589fcdcd9d7eb885 100644
--- a/test/porousmediumflow/richards/implicit/test_ccrichardsanalytical.cc
+++ b/test/porousmediumflow/richards/implicit/test_ccrichardsanalytical.cc
@@ -41,9 +41,7 @@
 #include <dumux/common/defaultusagemessage.hh>
 
 #include <dumux/linear/seqsolverbackend.hh>
-#include <dumux/nonlinear/newtonmethod.hh>
-#include <dumux/nonlinear/newtoncontroller.hh>
-#include <dumux/porousmediumflow/richards/newtoncontroller.hh>
+#include <dumux/porousmediumflow/richards/newtonsolver.hh>
 
 #include <dumux/assembly/fvassembler.hh>
 
@@ -129,7 +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 +154,8 @@ int main(int argc, char** argv) try
     auto linearSolver = std::make_shared<LinearSolver>();
 
     // the non-linear solver
-    using NewtonController = Dumux::RichardsNewtonController<TypeTag>;
-    using NewtonMethod = Dumux::NewtonMethod<NewtonController, Assembler, LinearSolver>;
-    auto newtonController = std::make_shared<NewtonController>(timeLoop);
-    NewtonMethod nonLinearSolver(newtonController, assembler, linearSolver);
+    using NewtonSolver = Dumux::RichardsNewtonSolver<TypeTag, Assembler, LinearSolver>;
+    NewtonSolver nonLinearSolver(assembler, linearSolver);
 
     // time loop
     timeLoop->start(); do
@@ -169,24 +164,8 @@ int main(int argc, char** argv) try
         assembler->setPreviousSolution(xOld);
         problem->setTime(timeLoop->time()+timeLoop->timeStepSize());
 
-        // 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 +182,8 @@ 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/richards/implicit/test_richardslens_fv.cc b/test/porousmediumflow/richards/implicit/test_richardslens_fv.cc
index 9d260e610e4532a6cdc41a9902cce78c46d5f890..1550ec49da78fe7301c5ce8b9cdbbb6deb171409 100644
--- a/test/porousmediumflow/richards/implicit/test_richardslens_fv.cc
+++ b/test/porousmediumflow/richards/implicit/test_richardslens_fv.cc
@@ -179,7 +179,7 @@ int main(int argc, char** argv) try
         // report statistics of this time step
         timeLoop->reportTimeStep();
 
-        // set new dt as suggested by newton controller
+        // set new dt as suggested by the newton solver
         timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
 
     } while (!timeLoop->finished());
diff --git a/test/porousmediumflow/richards/implicit/test_richardsniconduction_fv.cc b/test/porousmediumflow/richards/implicit/test_richardsniconduction_fv.cc
index 49a276444d79b79d33169bc0f6f612719710a844..82f3c629c1ff7fe3cec09ff145c205a5b7294605 100644
--- a/test/porousmediumflow/richards/implicit/test_richardsniconduction_fv.cc
+++ b/test/porousmediumflow/richards/implicit/test_richardsniconduction_fv.cc
@@ -41,9 +41,7 @@
 #include <dumux/common/defaultusagemessage.hh>
 
 #include <dumux/linear/seqsolverbackend.hh>
-#include <dumux/nonlinear/newtonmethod.hh>
-#include <dumux/nonlinear/newtoncontroller.hh>
-#include <dumux/porousmediumflow/richards/newtoncontroller.hh>
+#include <dumux/porousmediumflow/richards/newtonsolver.hh>
 
 #include <dumux/assembly/fvassembler.hh>
 
@@ -129,7 +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");
 
@@ -158,10 +155,8 @@ int main(int argc, char** argv) try
     auto linearSolver = std::make_shared<LinearSolver>();
 
     // the non-linear solver
-    using NewtonController = Dumux::RichardsNewtonController<TypeTag>;
-    using NewtonMethod = Dumux::NewtonMethod<NewtonController, Assembler, LinearSolver>;
-    auto newtonController = std::make_shared<NewtonController>(timeLoop);
-    NewtonMethod nonLinearSolver(newtonController, assembler, linearSolver);
+    using NewtonSolver = Dumux::RichardsNewtonSolver<TypeTag, Assembler, LinearSolver>;
+    NewtonSolver nonLinearSolver(assembler, linearSolver);
 
     // time loop
     timeLoop->start(); do
@@ -169,24 +164,9 @@ 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);
+
          // compute the new analytical temperature field for the output
         problem->updateExactTemperature(x, timeLoop->time()+timeLoop->timeStepSize());
 
@@ -203,8 +183,8 @@ 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/richards/implicit/test_richardsniconvection_fv.cc b/test/porousmediumflow/richards/implicit/test_richardsniconvection_fv.cc
index 4b549054c9e408daa33d16c83ede5219fec8f69c..ba18b9ce986dedf404ac039b60b0934e6807aea4 100644
--- a/test/porousmediumflow/richards/implicit/test_richardsniconvection_fv.cc
+++ b/test/porousmediumflow/richards/implicit/test_richardsniconvection_fv.cc
@@ -41,9 +41,7 @@
 #include <dumux/common/defaultusagemessage.hh>
 
 #include <dumux/linear/seqsolverbackend.hh>
-#include <dumux/nonlinear/newtonmethod.hh>
-#include <dumux/nonlinear/newtoncontroller.hh>
-#include <dumux/porousmediumflow/richards/newtoncontroller.hh>
+#include <dumux/porousmediumflow/richards/newtonsolver.hh>
 
 #include <dumux/assembly/fvassembler.hh>
 
@@ -129,7 +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");
 
@@ -158,10 +155,8 @@ int main(int argc, char** argv) try
     auto linearSolver = std::make_shared<LinearSolver>();
 
     // the non-linear solver
-    using NewtonController = Dumux::RichardsNewtonController<TypeTag>;
-    using NewtonMethod = Dumux::NewtonMethod<NewtonController, Assembler, LinearSolver>;
-    auto newtonController = std::make_shared<NewtonController>(timeLoop);
-    NewtonMethod nonLinearSolver(newtonController, assembler, linearSolver);
+    using NewtonSolver = Dumux::RichardsNewtonSolver<TypeTag, Assembler, LinearSolver>;
+    NewtonSolver nonLinearSolver(assembler, linearSolver);
 
     // time loop
     timeLoop->start(); do
@@ -169,24 +164,9 @@ 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);
+
          // compute the new analytical temperature field for the output
         problem->updateExactTemperature(x, timeLoop->time()+timeLoop->timeStepSize());
 
@@ -203,8 +183,8 @@ 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/richards/implicit/test_richardsnievaporation_fv.cc b/test/porousmediumflow/richards/implicit/test_richardsnievaporation_fv.cc
index bf53af86c7a712d480f61f29bda2c1684696206a..3464a371f31613bbdf685ae0bc61f7e8b2c419cb 100644
--- a/test/porousmediumflow/richards/implicit/test_richardsnievaporation_fv.cc
+++ b/test/porousmediumflow/richards/implicit/test_richardsnievaporation_fv.cc
@@ -147,7 +147,7 @@ int main(int argc, char** argv) try
         // report statistics of this time step
         timeLoop->reportTimeStep();
 
-        // set new dt as suggested by newton controller
+        // set new dt as suggested by the newton solver
         timeLoop->setTimeStepSize(nonLinearSolver.suggestTimeStepSize(timeLoop->timeStepSize()));
 
     } while (!timeLoop->finished());