diff --git a/ProcessLib/HeatConduction/Tests.cmake b/ProcessLib/HeatConduction/Tests.cmake
index 7aa5dff953eb4bd12f366da14a78167bb54bc915..b4ad3f411bfa97458c934445167b28947fd95e11 100644
--- a/ProcessLib/HeatConduction/Tests.cmake
+++ b/ProcessLib/HeatConduction/Tests.cmake
@@ -90,6 +90,25 @@ AddTest(
REQUIREMENTS NOT OGS_USE_MPI
)
+AddTest(
+ NAME 1D_HeatConduction_neumann_petsc_newtonls
+ PATH Parabolic/T/1D_neumann
+ EXECUTABLE ogs
+ EXECUTABLE_ARGS petsc_newtonls.prj
+ TESTER vtkdiff
+ DIFF_DATA
+ newton_ts_1_t_78125.000000.vtu petsc_newtonls_ts_1_t_78125_000000_0.vtu temperature temperature 1e-12 1e-16
+ newton_ts_3_t_234375.000000.vtu petsc_newtonls_ts_3_t_234375_000000_0.vtu temperature temperature 1e-12 1e-16
+ newton_ts_65_t_5078125.000000.vtu petsc_newtonls_ts_65_t_5078125_000000_0.vtu temperature temperature 1e-12 1e-16
+ newton_ts_405_t_31640625.000000.vtu petsc_newtonls_ts_405_t_31640625_000000_0.vtu temperature temperature 1e-12 1e-16
+ newton_ts_500_t_39062500.000000.vtu petsc_newtonls_ts_500_t_39062500_000000_0.vtu temperature temperature 1e-12 1e-16
+ temperature_analytical.vtu petsc_newtonls_ts_1_t_78125_000000_0.vtu temperature_78125s temperature 8e-2 1e-4
+ temperature_analytical.vtu petsc_newtonls_ts_3_t_234375_000000_0.vtu temperature_234375s temperature 6e-2 1e-4
+ temperature_analytical.vtu petsc_newtonls_ts_65_t_5078125_000000_0.vtu temperature_5078125s temperature 1e-4 1e-4
+ temperature_analytical.vtu petsc_newtonls_ts_405_t_31640625_000000_0.vtu temperature_31640625s temperature 1e-4 1e-4
+ temperature_analytical.vtu petsc_newtonls_ts_500_t_39062500_000000_0.vtu temperature_39062500s temperature 1e-4 1e-4
+ REQUIREMENTS 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/petsc_newtonls.prj b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls.prj
new file mode 100644
index 0000000000000000000000000000000000000000..8c6a40df946cfcb76876b4fa4907e879df3d7c6b
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls.prj
@@ -0,0 +1,133 @@
+<?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>petsc_newtonls</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>PetscSNES</type>
+ <max_iter>10</max_iter>
+ <linear_solver>linear_solver</linear_solver>
+ </nonlinear_solver>
+ </nonlinear_solvers>
+ <linear_solvers>
+ <linear_solver>
+ <name>linear_solver</name>
+ <petsc>
+ <parameters>-snes_type newtonls -snes_monitor -snes_atol 1e-16 -snes_rtol 1e-16 -ksp_type cg -pc_type bjacobi</parameters>
+ </petsc>
+ </linear_solver>
+ </linear_solvers>
+</OpenGeoSysProject>
diff --git a/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_1_t_78125.000000_0.vtu b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_1_t_78125.000000_0.vtu
new file mode 120000
index 0000000000000000000000000000000000000000..eccb7d3c5c2c9d6ef9e6a410f394f3d918563eab
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_1_t_78125.000000_0.vtu
@@ -0,0 +1 @@
+newton_ts_1_t_78125.000000.vtu
\ No newline at end of file
diff --git a/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_3_t_234375.000000_0.vtu b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_3_t_234375.000000_0.vtu
new file mode 120000
index 0000000000000000000000000000000000000000..cc4a8311db3dafff94a2c6fc1aee3e3283927479
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_3_t_234375.000000_0.vtu
@@ -0,0 +1 @@
+newton_ts_3_t_234375.000000.vtu
\ No newline at end of file
diff --git a/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_405_t_31640625.000000_0.vtu b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_405_t_31640625.000000_0.vtu
new file mode 120000
index 0000000000000000000000000000000000000000..fba2b9072f9ae93e79857430c56e03b62037c858
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_405_t_31640625.000000_0.vtu
@@ -0,0 +1 @@
+newton_ts_405_t_31640625.000000.vtu
\ No newline at end of file
diff --git a/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_500_t_39062500.000000_0.vtu b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_500_t_39062500.000000_0.vtu
new file mode 120000
index 0000000000000000000000000000000000000000..764453746c9318ed57827a943712d529b87c464d
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_500_t_39062500.000000_0.vtu
@@ -0,0 +1 @@
+newton_ts_500_t_39062500.000000.vtu
\ No newline at end of file
diff --git a/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_65_t_5078125.000000_0.vtu b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_65_t_5078125.000000_0.vtu
new file mode 120000
index 0000000000000000000000000000000000000000..f6289ae935188eaee2364198d525ce9f8ba20192
--- /dev/null
+++ b/Tests/Data/Parabolic/T/1D_neumann/petsc_newtonls_ts_65_t_5078125.000000_0.vtu
@@ -0,0 +1 @@
+newton_ts_65_t_5078125.000000.vtu
\ No newline at end of file