diff --git a/ProcessLib/HeatConduction/Tests.cmake b/ProcessLib/HeatConduction/Tests.cmake
index 88eb00be3bf135d5f08ac122120877d589c066a3..ac1df448b4078929fb4300cee0b1309111c38418 100644
--- a/ProcessLib/HeatConduction/Tests.cmake
+++ b/ProcessLib/HeatConduction/Tests.cmake
@@ -27,6 +27,25 @@ AddTest(
     REQUIREMENTS NOT OGS_USE_MPI
 )
 
+AddTest(
+    NAME 1D_HeatConduction_neumann_newton
+    PATH Parabolic/T/1D_neumann
+    EXECUTABLE ogs
+    EXECUTABLE_ARGS newton.prj
+    TESTER vtkdiff
+    DIFF_DATA
+    newton_ts_1_t_78125.000000.vtu newton_ts_1_t_78125.000000.vtu temperature temperature 1e-12 1e-16
+    newton_ts_3_t_234375.000000.vtu newton_ts_3_t_234375.000000.vtu temperature temperature 1e-12 1e-16
+    newton_ts_65_t_5078125.000000.vtu newton_ts_65_t_5078125.000000.vtu temperature temperature 1e-12 1e-16
+    newton_ts_405_t_31640625.000000.vtu newton_ts_405_t_31640625.000000.vtu temperature temperature 1e-12 1e-16
+    newton_ts_500_t_39062500.000000.vtu newton_ts_500_t_39062500.000000.vtu temperature temperature 1e-12 1e-16
+    temperature_analytical.vtu newton_ts_65_t_5078125.000000.vtu Temperature_Analytical_2months temperature 1e-4 1e-4
+    temperature_analytical.vtu newton_ts_405_t_31640625.000000.vtu Temperature_Analytical_1year temperature 1e-4 1e-4
+    REQUIREMENTS NOT OGS_USE_MPI
+)
+    REQUIREMENTS NOT OGS_USE_MPI
+)
+
 # SQUARE 1x1 HEAT CONDUCTION TEST -- AXIALLY SYMMETRIC
 # test results are compared to 3D simulation on a wedge-shaped domain
 AddTest(
diff --git a/Tests/Data/Parabolic/T/1D_neumann/newton.prj b/Tests/Data/Parabolic/T/1D_neumann/newton.prj
new file mode 100644
index 0000000000000000000000000000000000000000..70c0fae98afc9f3631a0ec2e292c5e844bbbda8d
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/newton.prj
@@ -0,0 +1,141 @@
+<?xml version="1.0" encoding="ISO-8859-1"?>
+<OpenGeoSysProject>
+    <mesh>mesh.vtu</mesh>
+    <geometry>line_60_geometry.gml</geometry>
+    <processes>
+        <process>
+            <name>HeatConduction</name>
+            <type>HEAT_CONDUCTION</type>
+            <integration_order>2</integration_order>
+            <thermal_conductivity>K</thermal_conductivity>
+            <heat_capacity>Cp</heat_capacity>
+            <density>rho</density>
+            <process_variables>
+                <process_variable>temperature</process_variable>
+            </process_variables>
+            <secondary_variables>
+                <secondary_variable internal_name="heat_flux_x" output_name="heat_flux_x"/>
+            </secondary_variables>
+        </process>
+    </processes>
+    <time_loop>
+        <processes>
+            <process ref="HeatConduction">
+                <nonlinear_solver>nonlinear_solver</nonlinear_solver>
+                <convergence_criterion>
+                    <type>DeltaX</type>
+                    <norm_type>NORM2</norm_type>
+                    <abstol>1e-16</abstol>
+                </convergence_criterion>
+                <time_discretization>
+                    <type>BackwardEuler</type>
+                </time_discretization>
+                <time_stepping>
+                    <type>FixedTimeStepping</type>
+                    <t_initial> 0.0 </t_initial>
+                    <t_end> 39062500 </t_end>
+                    <timesteps>
+                        <pair>
+                            <repeat>500</repeat>
+                            <delta_t>78125</delta_t>
+                        </pair>
+                    </timesteps>
+                </time_stepping>
+            </process>
+        </processes>
+        <output>
+            <type>VTK</type>
+            <prefix>newton</prefix>
+            <timesteps>
+                <pair>
+                    <repeat> 1 </repeat>
+                    <each_steps> 1 </each_steps>
+                </pair>
+                <pair>
+                    <repeat> 1 </repeat>
+                    <each_steps> 2 </each_steps>
+                </pair>
+                <pair>
+                    <repeat> 1 </repeat>
+                    <each_steps> 62 </each_steps>
+                </pair>
+                <pair>
+                    <repeat> 1 </repeat>
+                    <each_steps> 340 </each_steps>
+                </pair>
+            </timesteps>
+            <variables>
+                <variable> temperature </variable>
+                <variable> heat_flux_x </variable>
+            </variables>
+            <suffix>_ts_{:timestep}_t_{:time}</suffix>
+        </output>
+    </time_loop>
+    <parameters>
+        <parameter>
+            <name>K</name>
+            <type>Constant</type>
+            <value>3.2</value>
+        </parameter>
+        <parameter>
+            <name>Cp</name>
+            <type>Constant</type>
+            <value>1000</value>
+        </parameter>
+        <parameter>
+            <name>rho</name>
+            <type>Constant</type>
+            <value>2500</value>
+        </parameter>
+        <parameter>
+            <name>T0</name>
+            <type>Constant</type>
+            <value>273.15</value>
+        </parameter>
+        <parameter>
+            <name>T_neumann</name>
+            <type>Constant</type>
+            <value>2</value>
+        </parameter>
+    </parameters>
+    <process_variables>
+        <process_variable>
+            <name>temperature</name>
+            <components>1</components>
+            <order>1</order>
+            <initial_condition>T0</initial_condition>
+            <boundary_conditions>
+                <boundary_condition>
+                    <geometrical_set>line_60_geometry</geometrical_set>
+                    <geometry>left</geometry>
+                    <type>Neumann</type>
+                    <parameter>T_neumann</parameter>
+                </boundary_condition>
+            </boundary_conditions>
+        </process_variable>
+    </process_variables>
+    <nonlinear_solvers>
+        <nonlinear_solver>
+            <name>nonlinear_solver</name>
+            <type>Newton</type>
+            <max_iter>10</max_iter>
+            <linear_solver>general_linear_solver</linear_solver>
+        </nonlinear_solver>
+    </nonlinear_solvers>
+    <linear_solvers>
+        <linear_solver>
+            <name>general_linear_solver</name>
+            <lis>-i cg -p jacobi -tol 1e-16 -maxiter 10000</lis>
+            <eigen>
+                <solver_type>CG</solver_type>
+                <precon_type>DIAGONAL</precon_type>
+                <max_iteration_step>10000</max_iteration_step>
+                <error_tolerance>1e-16</error_tolerance>
+            </eigen>
+            <petsc>
+                <prefix>gw</prefix>
+                <parameters>-gw_ksp_type cg -gw_pc_type bjacobi -gw_ksp_rtol 1e-16 -gw_ksp_max_it 10000</parameters>
+            </petsc>
+        </linear_solver>
+    </linear_solvers>
+</OpenGeoSysProject>
diff --git a/Tests/Data/Parabolic/T/1D_neumann/newton_ts_1_t_78125.000000.vtu b/Tests/Data/Parabolic/T/1D_neumann/newton_ts_1_t_78125.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..401620d67a319d5053dd688de80972030a0f1d68
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/newton_ts_1_t_78125.000000.vtu
@@ -0,0 +1,28 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32" compressor="vtkZLibDataCompressor">
+  <UnstructuredGrid>
+    <FieldData>
+      <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="22" format="appended" RangeMin="45"                   RangeMax="103"                  offset="0"                   />
+    </FieldData>
+    <Piece NumberOfPoints="61"                   NumberOfCells="60"                  >
+      <PointData>
+        <DataArray type="Float64" Name="heat_flux_x" format="appended" RangeMin="-0.01796471603"       RangeMax="0.50324524873"        offset="64"                  />
+        <DataArray type="Float64" Name="temperature" format="appended" RangeMin="273.13870441"         RangeMax="273.29596855"         offset="224"                 />
+      </PointData>
+      <CellData>
+        <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0"                    RangeMax="0"                    offset="356"                 />
+      </CellData>
+      <Points>
+        <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0"                    RangeMax="60"                   offset="396"                 />
+      </Points>
+      <Cells>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="628"                 />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="804"                 />
+        <DataArray type="UInt8" Name="types" format="appended" RangeMin=""                     RangeMax=""                     offset="988"                 />
+      </Cells>
+    </Piece>
+  </UnstructuredGrid>
+  <AppendedData encoding="base64">
+   _AQAAAACAAAAWAAAAHgAAAA==eF4z0zPWM9A1NDAz1k23NE8yTTRLTEo2BAA32AV2AQAAAACAAADoAQAAZAAAAA==eF5jOLHk+FSpB/YMH65dV9h+1p6hIWh9eOqk/QwMG9ovHQuzZ2BgeBVnLAPkM2h4lz60A9IHZs9duo8RyEg4nAXiMxRMNNgHohlavtiC6YSde8E0QwOEz+AB5Y+CgQIAU0QgNA==AQAAAACAAADoAQAAUAAAAA==eF67atnquUek0EGMQ07JQqjQgSv2y69MIJ1iVymfBqSvlz/OBtFrV/9MBdFRF/LSQPSO/alg2qc4DUynpULoqjQInQKl00bpQUEDAIU6qso=AQAAAACAAADwAAAADAAAAA==eF5jYBhZAAAA8AABAQAAAACAAAC4BQAAnAAAAA==eF59yTkOAQAARNEplQqFQiEiIiJi3/d9P9Mc2REcwHy/fF/612cDY5u5AF4EL4GXwSvgVfAaeB28Ad4Eb4G3wTvgXfAeeB98AD4EH4GPwSfgU/AZ+Bx8Ab4EX4GvwTfg2+wG1y67wbXPbnAdshtcx+wG1ym7wXXObnBdshtc1+wG1y27wXXPbnA9shtcz+wG1yu7wfX+8S+zGCQEAQAAAACAAADAAwAAcQAAAA==eF5dxbMBAwAAALDatm3b/9/VoZ2SJYHAT5BDHOYIRznGcU5wklOc5gxnOcd5LnCRS1zmCle5xnVucJNb3OYOd7nHfR7wkEc85glPecZzXvCSV7zmDW95x3s+8JFPfOYLX/nGd37wk1/85s//L9CvDhE=AQAAAACAAADgAQAAeAAAAA==eF4txcEKQQEAADBJkiRJkiRJkiRJkvSSJEmSJEmSJEmSJJ/vYLssHPqLOOqY40446ZTTzjjrnPMuuOiSy6646prrbrjpltvuuOue+x448NAjjz3x1DPPvfDSK6+98dY7733w0SefffHVN9/98NMvv/3x1z8+Jw5NAQAAAACAAAA8AAAADAAAAA==eF5jZiYfAAAVrgC1
+  </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Parabolic/T/1D_neumann/newton_ts_3_t_234375.000000.vtu b/Tests/Data/Parabolic/T/1D_neumann/newton_ts_3_t_234375.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..0a506c2cf66b00ce494952318f4b41c421da230f
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/newton_ts_3_t_234375.000000.vtu
@@ -0,0 +1,28 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32" compressor="vtkZLibDataCompressor">
+  <UnstructuredGrid>
+    <FieldData>
+      <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="22" format="appended" RangeMin="45"                   RangeMax="103"                  offset="0"                   />
+    </FieldData>
+    <Piece NumberOfPoints="61"                   NumberOfCells="60"                  >
+      <PointData>
+        <DataArray type="Float64" Name="heat_flux_x" format="appended" RangeMin="-0.0046079693772"     RangeMax="0.99806176535"        offset="64"                  />
+        <DataArray type="Float64" Name="temperature" format="appended" RangeMin="273.14713798"         RangeMax="273.48476259"         offset="236"                 />
+      </PointData>
+      <CellData>
+        <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0"                    RangeMax="0"                    offset="380"                 />
+      </CellData>
+      <Points>
+        <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0"                    RangeMax="60"                   offset="420"                 />
+      </Points>
+      <Cells>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="652"                 />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="828"                 />
+        <DataArray type="UInt8" Name="types" format="appended" RangeMin=""                     RangeMax=""                     offset="1012"                />
+      </Cells>
+    </Piece>
+  </UnstructuredGrid>
+  <AppendedData encoding="base64">
+   _AQAAAACAAAAWAAAAHgAAAA==eF4z0zPWM9A1NDAz1k23NE8yTTRLTEo2BAA32AV2AQAAAACAAADoAQAAbgAAAA==eF77L29kJf/hvT3Dh4cmAZ4P7RkO2PLoLl9kz8CQFXPuftF+BgaHnNB5qkA+wwPFz3/sgPSf41H39oH4dVM3gfgNPCeaQHyGBtlAEJ+BwUQWzGc499wWTF/YtBdMM9RC+AweUP4ooBcAAI90JHQ=AQAAAACAAADoAQAAWQAAAA==eF6rK86adlC80GFldKfgEaFCh8dvItdGAekSuRVn04D00mdWlSA6vHhCIoiu/KiUDqKnLfJLA9EtUplgeplMGph+kQuhV6RC6Io0CJ0CpdNG6QGhAVZIrNg=AQAAAACAAADwAAAADAAAAA==eF5jYBhZAAAA8AABAQAAAACAAAC4BQAAnAAAAA==eF59yTkOAQAARNEplQqFQiEiIiJi3/d9P9Mc2REcwHy/fF/612cDY5u5AF4EL4GXwSvgVfAaeB28Ad4Eb4G3wTvgXfAeeB98AD4EH4GPwSfgU/AZ+Bx8Ab4EX4GvwTfg2+wG1y67wbXPbnAdshtcx+wG1ym7wXXObnBdshtc1+wG1y27wXXPbnA9shtcz+wG1yu7wfX+8S+zGCQEAQAAAACAAADAAwAAcQAAAA==eF5dxbMBAwAAALDatm3b/9/VoZ2SJYHAT5BDHOYIRznGcU5wklOc5gxnOcd5LnCRS1zmCle5xnVucJNb3OYOd7nHfR7wkEc85glPecZzXvCSV7zmDW95x3s+8JFPfOYLX/nGd37wk1/85s//L9CvDhE=AQAAAACAAADgAQAAeAAAAA==eF4txcEKQQEAADBJkiRJkiRJkiRJkvSSJEmSJEmSJEmSJJ/vYLssHPqLOOqY40446ZTTzjjrnPMuuOiSy6646prrbrjpltvuuOue+x448NAjjz3x1DPPvfDSK6+98dY7733w0SefffHVN9/98NMvv/3x1z8+Jw5NAQAAAACAAAA8AAAADAAAAA==eF5jZiYfAAAVrgC1
+  </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Parabolic/T/1D_neumann/newton_ts_405_t_31640625.000000.vtu b/Tests/Data/Parabolic/T/1D_neumann/newton_ts_405_t_31640625.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..c6aabf3b75c1694b6ddc42ad106d080debad429e
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/newton_ts_405_t_31640625.000000.vtu
@@ -0,0 +1,28 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32" compressor="vtkZLibDataCompressor">
+  <UnstructuredGrid>
+    <FieldData>
+      <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="22" format="appended" RangeMin="45"                   RangeMax="103"                  offset="0"                   />
+    </FieldData>
+    <Piece NumberOfPoints="61"                   NumberOfCells="60"                  >
+      <PointData>
+        <DataArray type="Float64" Name="heat_flux_x" format="appended" RangeMin="2.6716406865e-11"     RangeMax="1.9114004636"         offset="64"                  />
+        <DataArray type="Float64" Name="temperature" format="appended" RangeMin="273.15"               RangeMax="277.63440302"         offset="652"                 />
+      </PointData>
+      <CellData>
+        <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0"                    RangeMax="0"                    offset="1204"                />
+      </CellData>
+      <Points>
+        <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0"                    RangeMax="60"                   offset="1244"                />
+      </Points>
+      <Cells>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="1476"                />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="1652"                />
+        <DataArray type="UInt8" Name="types" format="appended" RangeMin=""                     RangeMax=""                     offset="1836"                />
+      </Cells>
+    </Piece>
+  </UnstructuredGrid>
+  <AppendedData encoding="base64">
+   _AQAAAACAAAAWAAAAHgAAAA==eF4z0zPWM9A1NDAz1k23NE8yTTRLTEo2BAA32AV2AQAAAACAAADoAQAApwEAAA==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AQAAAACAAADwAAAADAAAAA==eF5jYBhZAAAA8AABAQAAAACAAAC4BQAAnAAAAA==eF59yTkOAQAARNEplQqFQiEiIiJi3/d9P9Mc2REcwHy/fF/612cDY5u5AF4EL4GXwSvgVfAaeB28Ad4Eb4G3wTvgXfAeeB98AD4EH4GPwSfgU/AZ+Bx8Ab4EX4GvwTfg2+wG1y67wbXPbnAdshtcx+wG1ym7wXXObnBdshtc1+wG1y27wXXPbnA9shtcz+wG1yu7wfX+8S+zGCQEAQAAAACAAADAAwAAcQAAAA==eF5dxbMBAwAAALDatm3b/9/VoZ2SJYHAT5BDHOYIRznGcU5wklOc5gxnOcd5LnCRS1zmCle5xnVucJNb3OYOd7nHfR7wkEc85glPecZzXvCSV7zmDW95x3s+8JFPfOYLX/nGd37wk1/85s//L9CvDhE=AQAAAACAAADgAQAAeAAAAA==eF4txcEKQQEAADBJkiRJkiRJkiRJkvSSJEmSJEmSJEmSJJ/vYLssHPqLOOqY40446ZTTzjjrnPMuuOiSy6646prrbrjpltvuuOue+x448NAjjz3x1DPPvfDSK6+98dY7733w0SefffHVN9/98NMvv/3x1z8+Jw5NAQAAAACAAAA8AAAADAAAAA==eF5jZiYfAAAVrgC1
+  </AppendedData>
+</VTKFile>
diff --git a/Tests/Data/Parabolic/T/1D_neumann/newton_ts_500_t_39062500.000000.vtu b/Tests/Data/Parabolic/T/1D_neumann/newton_ts_500_t_39062500.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..da712b7df3ae4d003da6d8f80ed41a7e567f9620
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/newton_ts_500_t_39062500.000000.vtu
@@ -0,0 +1,28 @@
+<?xml version="1.0"?>
+<VTKFile type="UnstructuredGrid" version="0.1" byte_order="LittleEndian" header_type="UInt32" compressor="vtkZLibDataCompressor">
+  <UnstructuredGrid>
+    <FieldData>
+      <DataArray type="Int8" Name="OGS_VERSION" NumberOfTuples="22" format="appended" RangeMin="45"                   RangeMax="103"                  offset="0"                   />
+    </FieldData>
+    <Piece NumberOfPoints="61"                   NumberOfCells="60"                  >
+      <PointData>
+        <DataArray type="Float64" Name="heat_flux_x" format="appended" RangeMin="2.0055495042e-09"     RangeMax="1.9202511895"         offset="64"                  />
+        <DataArray type="Float64" Name="temperature" format="appended" RangeMin="273.15"               RangeMax="278.13345128"         offset="672"                 />
+      </PointData>
+      <CellData>
+        <DataArray type="Int32" Name="MaterialIDs" format="appended" RangeMin="0"                    RangeMax="0"                    offset="1260"                />
+      </CellData>
+      <Points>
+        <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0"                    RangeMax="60"                   offset="1300"                />
+      </Points>
+      <Cells>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="1532"                />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="1708"                />
+        <DataArray type="UInt8" Name="types" format="appended" RangeMin=""                     RangeMax=""                     offset="1892"                />
+      </Cells>
+    </Piece>
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diff --git a/Tests/Data/Parabolic/T/1D_neumann/newton_ts_65_t_5078125.000000.vtu b/Tests/Data/Parabolic/T/1D_neumann/newton_ts_65_t_5078125.000000.vtu
new file mode 100644
index 0000000000000000000000000000000000000000..4dbc0ea22c5fe6cd8f0d33a4759e640a8fc11b2c
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/newton_ts_65_t_5078125.000000.vtu
@@ -0,0 +1,28 @@
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+        <DataArray type="Float64" Name="temperature" format="appended" RangeMin="273.15"               RangeMax="274.93872883"         offset="336"                 />
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+      </CellData>
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+        <DataArray type="Float64" Name="Points" NumberOfComponents="3" format="appended" RangeMin="0"                    RangeMax="60"                   offset="628"                 />
+      </Points>
+      <Cells>
+        <DataArray type="Int64" Name="connectivity" format="appended" RangeMin=""                     RangeMax=""                     offset="860"                 />
+        <DataArray type="Int64" Name="offsets" format="appended" RangeMin=""                     RangeMax=""                     offset="1036"                />
+        <DataArray type="UInt8" Name="types" format="appended" RangeMin=""                     RangeMax=""                     offset="1220"                />
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