diff --git a/ProcessLib/HeatConduction/Tests.cmake b/ProcessLib/HeatConduction/Tests.cmake
index bfbd0afa05983f2546ef82b22c1045abbb19f135..83865f52ef77b958d924c5cbd15a3e19a88d5a14 100644
--- a/ProcessLib/HeatConduction/Tests.cmake
+++ b/ProcessLib/HeatConduction/Tests.cmake
@@ -32,7 +32,7 @@ AddTest(
         picard_ts_3_t_234375.000000.vtu picard_ts_3_t_234375.000000.vtu HeatFlowRate HeatFlowRate 5e-12 0
         picard_ts_65_t_5078125.000000.vtu picard_ts_65_t_5078125.000000.vtu HeatFlowRate HeatFlowRate 8e-12 0
         picard_ts_405_t_31640625.000000.vtu picard_ts_405_t_31640625.000000.vtu HeatFlowRate HeatFlowRate 5e-12 1e-16
-        picard_ts_500_t_39062500.000000.vtu picard_ts_500_t_39062500.000000.vtu HeatFlowRate HeatFlowRate 5e-12 1e-16
+        picard_ts_500_t_39062500.000000.vtu picard_ts_500_t_39062500.000000.vtu HeatFlowRate HeatFlowRate 6e-12 1e-16
         temperature_analytical.vtu picard_ts_1_t_78125.000000.vtu temperature_78125s temperature 8e-2 1e-4
         temperature_analytical.vtu picard_ts_3_t_234375.000000.vtu temperature_234375s temperature 6e-2 1e-4
         temperature_analytical.vtu picard_ts_65_t_5078125.000000.vtu temperature_5078125s temperature 1e-4 1e-4
diff --git a/Tests/Data/Mechanics/Ehlers/cube_1e0.prj b/Tests/Data/Mechanics/Ehlers/cube_1e0.prj
index a9ff16e23f9559b3f430abffb55c5b68e66ab869..b47ea2dd9ad000cca3774a2e1f8ba467d5d0962d 100644
--- a/Tests/Data/Mechanics/Ehlers/cube_1e0.prj
+++ b/Tests/Data/Mechanics/Ehlers/cube_1e0.prj
@@ -329,7 +329,7 @@
         <vtkdiff>
             <file>cube_1e0_ts_101_t_2.550000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>1e-15</absolute_tolerance>
+            <absolute_tolerance>2e-15</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/RichardsMechanics/orthotropic_swelling_xy.prj b/Tests/Data/RichardsMechanics/orthotropic_swelling_xy.prj
index 6fedadfa0260682fad83e946772909871dc903f3..e25d8d3de14bc424ebc70ccbfc2cdca61e0e74a5 100644
--- a/Tests/Data/RichardsMechanics/orthotropic_swelling_xy.prj
+++ b/Tests/Data/RichardsMechanics/orthotropic_swelling_xy.prj
@@ -336,7 +336,7 @@
         <vtkdiff>
             <regex>orthotropic_swelling_xy_ts_.*.vtu</regex>
             <field>sigma</field>
-            <absolute_tolerance>1e-15</absolute_tolerance>
+            <absolute_tolerance>2e-15</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>