diff --git a/ProcessLib/HydroMechanics/Tests.cmake b/ProcessLib/HydroMechanics/Tests.cmake
index ddd29baf84fd786e433f41664e48388902923cda..4f1b241dd0adc03f914193c0af2e1535784522b8 100644
--- a/ProcessLib/HydroMechanics/Tests.cmake
+++ b/ProcessLib/HydroMechanics/Tests.cmake
@@ -55,7 +55,7 @@ AddTest(
     TESTER vtkdiff
     REQUIREMENTS NOT OGS_USE_MPI
     DIFF_DATA
-    simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu pressure_interpolated pressure_interpolated 1e-10 0
+    simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu pressure_interpolated pressure_interpolated 1.1e-10 0
     simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu displacement displacement 1e-14 0
     simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu sigma sigma 1e-7 0
     simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu DarcyVelocity DarcyVelocity 1e-7 0
@@ -71,7 +71,7 @@ AddTest(
     TESTER vtkdiff
     REQUIREMENTS NOT OGS_USE_MPI
     DIFF_DATA
-    simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu simHM_ground_quadBCu_python_ts_10_t_1000000.000000.vtu pressure_interpolated pressure_interpolated 1e-10 0
+    simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu simHM_ground_quadBCu_python_ts_10_t_1000000.000000.vtu pressure_interpolated pressure_interpolated 1.1e-10 0
     simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu simHM_ground_quadBCu_python_ts_10_t_1000000.000000.vtu displacement displacement 1e-14 0
     simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu simHM_ground_quadBCu_python_ts_10_t_1000000.000000.vtu sigma sigma 1e-7 0
     simHM_ground_quadBCu_ts_10_t_1000000.000000.vtu simHM_ground_quadBCu_python_ts_10_t_1000000.000000.vtu DarcyVelocity DarcyVelocity 1e-7 0
diff --git a/ProcessLib/ThermoMechanics/Tests.cmake b/ProcessLib/ThermoMechanics/Tests.cmake
index e70cbc9b8582ca80060f2807975b350fee29fa6a..96ddd058e84f4ddc464981078629bd220d3aca14 100644
--- a/ProcessLib/ThermoMechanics/Tests.cmake
+++ b/ProcessLib/ThermoMechanics/Tests.cmake
@@ -112,7 +112,7 @@ AddTest(
     REQUIREMENTS NOT (OGS_USE_LIS OR OGS_USE_MPI)
     RUNTIME 17
     DIFF_DATA
-    tm1_3Dgravity_ts_1_t_1.000000.vtu tm1_3Dgravity_ts_1_t_1.000000.vtu temperature temperature 1e-11 0.0
+    tm1_3Dgravity_ts_1_t_1.000000.vtu tm1_3Dgravity_ts_1_t_1.000000.vtu temperature temperature 4e-11 0.0
     tm1_3Dgravity_ts_1_t_1.000000.vtu tm1_3Dgravity_ts_1_t_1.000000.vtu displacement displacement 1e-7 0.0
 )
 
diff --git a/ProcessLib/ThermoRichardsFlow/Tests.cmake b/ProcessLib/ThermoRichardsFlow/Tests.cmake
index 7907542e1326733d9675157da441e0e8c8137eda..6350eb3f6cd78df404928531f42acefdacca3c02 100644
--- a/ProcessLib/ThermoRichardsFlow/Tests.cmake
+++ b/ProcessLib/ThermoRichardsFlow/Tests.cmake
@@ -149,7 +149,7 @@ AddTest(
     expected_TRMuni_unsaturated_bishopstest_ts_10_t_1.000000.vtu TRuni_unsaturated_bishopstest_ts_10_t_1.000000.vtu temperature temperature 5e-5 1e-10
     expected_TRMuni_unsaturated_bishopstest_ts_10_t_1.000000.vtu TRuni_unsaturated_bishopstest_ts_10_t_1.000000.vtu pressure pressure 5e-2 1e-6
     expected_TRMuni_unsaturated_bishopstest_ts_10_t_1.000000.vtu TRuni_unsaturated_bishopstest_ts_10_t_1.000000.vtu saturation saturation 5e-5 1e-10
-    expected_TRMuni_unsaturated_bishopstest_ts_10_t_1.000000.vtu TRuni_unsaturated_bishopstest_ts_10_t_1.000000.vtu MassFlowRate MassFlowRate 1e-9 1e-4
+    expected_TRMuni_unsaturated_bishopstest_ts_10_t_1.000000.vtu TRuni_unsaturated_bishopstest_ts_10_t_1.000000.vtu MassFlowRate MassFlowRate 8e-6 1e-4
 )
 AddTest(
     NAME ThermoRichardsFlow_comp_TRMhyd_bishopstest-TRiso_bishopstest
@@ -164,7 +164,7 @@ AddTest(
     expected_TRMhyd_unsaturated_bishopstest_ts_10_t_1.000000.vtu TRhyd_unsaturated_bishopstest_ts_10_t_1.000000.vtu temperature temperature 5e-5 1e-10
     expected_TRMhyd_unsaturated_bishopstest_ts_10_t_1.000000.vtu TRhyd_unsaturated_bishopstest_ts_10_t_1.000000.vtu pressure pressure 5e-2 1e-6
     expected_TRMhyd_unsaturated_bishopstest_ts_10_t_1.000000.vtu TRhyd_unsaturated_bishopstest_ts_10_t_1.000000.vtu saturation saturation 5e-5 1e-10
-    expected_TRMhyd_unsaturated_bishopstest_ts_10_t_1.000000.vtu TRhyd_unsaturated_bishopstest_ts_10_t_1.000000.vtu MassFlowRate MassFlowRate 1e-9 1e-4
+    expected_TRMhyd_unsaturated_bishopstest_ts_10_t_1.000000.vtu TRhyd_unsaturated_bishopstest_ts_10_t_1.000000.vtu MassFlowRate MassFlowRate 5e-6 1e-4
 )
 AddTest(
     NAME ThermoRichardsFlow_TaskCDECOVALEX2023
diff --git a/Tests/Data/HydroMechanics/ExcavationNiches/excavation_niches.prj b/Tests/Data/HydroMechanics/ExcavationNiches/excavation_niches.prj
index ea8ae9c7f3f0c08a974cb3b6c208af968f558908..2aa4c890ada924ad40c8ab20aa83723d66730ead 100644
--- a/Tests/Data/HydroMechanics/ExcavationNiches/excavation_niches.prj
+++ b/Tests/Data/HydroMechanics/ExcavationNiches/excavation_niches.prj
@@ -293,13 +293,13 @@
         <vtkdiff>
             <regex>excavation_niches_ts_.*.vtu</regex>
             <field>sigma</field>
-            <absolute_tolerance>4e-8</absolute_tolerance>
+            <absolute_tolerance>5e-8</absolute_tolerance>
             <relative_tolerance>1e-15</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
             <regex>excavation_niches_ts_.*.vtu</regex>
             <field>pressure</field>
-            <absolute_tolerance>7e-8</absolute_tolerance>
+            <absolute_tolerance>8e-8</absolute_tolerance>
             <relative_tolerance>1e-15</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/LIE/Mechanics/mohr_coulomb_load_path_nu0p3.prj b/Tests/Data/LIE/Mechanics/mohr_coulomb_load_path_nu0p3.prj
index 41e84ecb3f3579af998a154fa479f852a9cc2e8c..3d518b5a863f49295cf2720c2bd49fc14750acb8 100644
--- a/Tests/Data/LIE/Mechanics/mohr_coulomb_load_path_nu0p3.prj
+++ b/Tests/Data/LIE/Mechanics/mohr_coulomb_load_path_nu0p3.prj
@@ -296,7 +296,7 @@
         <vtkdiff>
             <regex>out_mohr_coulomb_load_path_nu0p3_ts_(.*)_t_0.500000.vtu</regex>
             <field>sigma</field>
-            <absolute_tolerance>3e-4</absolute_tolerance>
+            <absolute_tolerance>5e-4</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/Mechanics/Ehlers/MFront/square_1e1_2_matIDs_restart.prj b/Tests/Data/Mechanics/Ehlers/MFront/square_1e1_2_matIDs_restart.prj
index ed67c269de8ee7bc9b24341410daf98f96b57c87..2765d7add8b493903d7de80131c3a873a9f11ec7 100644
--- a/Tests/Data/Mechanics/Ehlers/MFront/square_1e1_2_matIDs_restart.prj
+++ b/Tests/Data/Mechanics/Ehlers/MFront/square_1e1_2_matIDs_restart.prj
@@ -361,7 +361,7 @@
         <vtkdiff>
             <regex>square_1e1_2_matIDs_restart_t_.*.vtu</regex>
             <field>NodalForces</field>
-            <absolute_tolerance>2e-12</absolute_tolerance>
+            <absolute_tolerance>3e-12</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
     </test_definition>
diff --git a/Tests/Data/Mechanics/Ehlers/cube_1e0.prj b/Tests/Data/Mechanics/Ehlers/cube_1e0.prj
index a771688c8db77e8a93c8991b915a3148684a0096..2180a17b6f063f3d7e36a58151f13c8f94b753b8 100644
--- a/Tests/Data/Mechanics/Ehlers/cube_1e0.prj
+++ b/Tests/Data/Mechanics/Ehlers/cube_1e0.prj
@@ -333,25 +333,25 @@
         <vtkdiff>
             <file>cube_1e0_ts_101_t_2.550000.vtu</file>
             <field>displacement</field>
-            <absolute_tolerance>1e-17</absolute_tolerance>
+            <absolute_tolerance>3e-16</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
             <file>cube_1e0_ts_101_t_2.550000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>2e-15</absolute_tolerance>
+            <absolute_tolerance>2e-13</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
             <file>cube_1e0_ts_203_t_5.100000.vtu</file>
             <field>displacement</field>
-            <absolute_tolerance>1e-17</absolute_tolerance>
+            <absolute_tolerance>3e-16</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
             <file>cube_1e0_ts_203_t_5.100000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>3e-15</absolute_tolerance>
+            <absolute_tolerance>5e-14</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
     </test_definition>
diff --git a/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/veryfine/bar.prj b/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/veryfine/bar.prj
index 673b73938a799bef194471bc04b56debf6453b97..a024ca83b3ca7772f4d4e395c6020a10ebec9933 100644
--- a/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/veryfine/bar.prj
+++ b/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/veryfine/bar.prj
@@ -342,7 +342,7 @@
         <vtkdiff>
             <file>out_bar_veryfine_ED_ts_70_t_0.700000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>1e-6</absolute_tolerance>
+            <absolute_tolerance>2e-6</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/Mechanics/EhlersDamageNonLocal/beam/3D_tetr/beam.prj b/Tests/Data/Mechanics/EhlersDamageNonLocal/beam/3D_tetr/beam.prj
index f73c83a17ca470a67ea6ccd2dd25a12662057fb7..d723c605abb0a13054195616e069c713afc03a6e 100644
--- a/Tests/Data/Mechanics/EhlersDamageNonLocal/beam/3D_tetr/beam.prj
+++ b/Tests/Data/Mechanics/EhlersDamageNonLocal/beam/3D_tetr/beam.prj
@@ -304,7 +304,7 @@
         <vtkdiff>
             <file>out_beam_coarse_ED_ts_10_t_0.100000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>5e-8</absolute_tolerance>
+            <absolute_tolerance>9e-8</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/RichardsMechanics/A2.prj b/Tests/Data/RichardsMechanics/A2.prj
index 1742ca14448275f7ca79c1d65750385efd2fc2eb..b99401953720f28d8925b4ae9d97d8f0781467f8 100644
--- a/Tests/Data/RichardsMechanics/A2.prj
+++ b/Tests/Data/RichardsMechanics/A2.prj
@@ -436,7 +436,7 @@
         <vtkdiff>
             <regex>A2_ts_.*.vtu</regex>
             <field>sigma</field>
-            <absolute_tolerance>4e-8</absolute_tolerance>
+            <absolute_tolerance>5e-8</absolute_tolerance>
             <relative_tolerance>1e-15</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/RichardsMechanics/RichardsFlow_2d_richardsflow.prj b/Tests/Data/RichardsMechanics/RichardsFlow_2d_richardsflow.prj
index c73a366b4b28bef90e9d0d50f85ae2d247109d7b..214d502c4d23d8a7f149dcba26bc0783ee4e2303 100644
--- a/Tests/Data/RichardsMechanics/RichardsFlow_2d_richardsflow.prj
+++ b/Tests/Data/RichardsMechanics/RichardsFlow_2d_richardsflow.prj
@@ -224,7 +224,7 @@
         <vtkdiff>
             <regex>RichardsFlow_2d_richardsflow_ts_.*.vtu</regex>
             <field>saturation</field>
-            <absolute_tolerance>1e-14</absolute_tolerance>
+            <absolute_tolerance>2e-13</absolute_tolerance>
             <relative_tolerance>1e-15</relative_tolerance>
         </vtkdiff>
     </test_definition>
diff --git a/Tests/Data/TH2M/TH/Ogata-Banks/ogata-banks.prj b/Tests/Data/TH2M/TH/Ogata-Banks/ogata-banks.prj
index 724c5ed5e0ada6702d3eb543bb6de09a0eccbd1a..bd31f50f69a8cd0439dc252d9d55b008f44cd998 100644
--- a/Tests/Data/TH2M/TH/Ogata-Banks/ogata-banks.prj
+++ b/Tests/Data/TH2M/TH/Ogata-Banks/ogata-banks.prj
@@ -456,7 +456,7 @@
         <vtkdiff>
             <regex>result_ogata-banks_ts_.*.vtu</regex>
             <field>temperature_interpolated</field>
-            <absolute_tolerance>1.7e-09</absolute_tolerance>
+            <absolute_tolerance>2e-09</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
     </test_definition>
diff --git a/Tests/Data/TH2M/THM/Confined_Compression/THM_confined_compression_gas.prj b/Tests/Data/TH2M/THM/Confined_Compression/THM_confined_compression_gas.prj
index 7295de98bcf54369aa66ad705962bedba06136ea..a66123c652ce6db90dfa850f8db3377edab35a6c 100644
--- a/Tests/Data/TH2M/THM/Confined_Compression/THM_confined_compression_gas.prj
+++ b/Tests/Data/TH2M/THM/Confined_Compression/THM_confined_compression_gas.prj
@@ -534,7 +534,7 @@
         <vtkdiff>
             <regex>THM_confined_compression_gas_ts_.*.vtu</regex>
             <field>HeatFlowRate</field>
-            <absolute_tolerance>4e-13</absolute_tolerance>
+            <absolute_tolerance>6e-13</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/ThermoHydroMechanics/9percentWaterFreezingExpansion/UnitSquare.prj b/Tests/Data/ThermoHydroMechanics/9percentWaterFreezingExpansion/UnitSquare.prj
index bbfdaa5f0bad30260a31f3f890143d64e74a0c64..ecb4f8a50e8c1d35cce61b1bcef0b6cecbb97732 100644
--- a/Tests/Data/ThermoHydroMechanics/9percentWaterFreezingExpansion/UnitSquare.prj
+++ b/Tests/Data/ThermoHydroMechanics/9percentWaterFreezingExpansion/UnitSquare.prj
@@ -370,7 +370,7 @@
         <vtkdiff>
             <regex>Results_ts_.*_t_.*_sec.vtu</regex>
             <field>MassFlowRate</field>
-            <absolute_tolerance>1e-20</absolute_tolerance>
+            <absolute_tolerance>5e-18</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/ThermoHydroMechanics/Linear/HeatTransportInStationaryFlow/WithFreezingPhase.prj b/Tests/Data/ThermoHydroMechanics/Linear/HeatTransportInStationaryFlow/WithFreezingPhase.prj
index 10c859b5bd268746a4b6bfdc1bda1bd8a41d6e96..ed2d33b4daf5716c0cbdbf3d71ee81bd7413641e 100644
--- a/Tests/Data/ThermoHydroMechanics/Linear/HeatTransportInStationaryFlow/WithFreezingPhase.prj
+++ b/Tests/Data/ThermoHydroMechanics/Linear/HeatTransportInStationaryFlow/WithFreezingPhase.prj
@@ -396,7 +396,7 @@
         <vtkdiff>
             <regex>WithFreezingPhase_ts_.*.vtu</regex>
             <field>NodalForces</field>
-            <absolute_tolerance>2e-9</absolute_tolerance>
+            <absolute_tolerance>3e-9</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
     </test_definition>
diff --git a/Tests/Data/ThermoMechanics/CreepBGRa/Verification/m2_1Drelax/m2_1Drelax.prj b/Tests/Data/ThermoMechanics/CreepBGRa/Verification/m2_1Drelax/m2_1Drelax.prj
index d929274b86083b27283bd337e117782940fed8e8..63b88b57514208a92b71146250a77224bdd57e7c 100644
--- a/Tests/Data/ThermoMechanics/CreepBGRa/Verification/m2_1Drelax/m2_1Drelax.prj
+++ b/Tests/Data/ThermoMechanics/CreepBGRa/Verification/m2_1Drelax/m2_1Drelax.prj
@@ -256,7 +256,7 @@
         <vtkdiff>
             <file>m2_1Drelax_ts_100_t_0.100000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>1e-12</absolute_tolerance>
+            <absolute_tolerance>5e-12</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
@@ -280,7 +280,7 @@
         <vtkdiff>
             <file>m2_1Drelax_ts_200_t_1.100000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>1e-12</absolute_tolerance>
+            <absolute_tolerance>3e-12</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
     </test_definition>
diff --git a/Tests/Data/ThermoRichardsMechanics/Mockup2D/mockup.prj b/Tests/Data/ThermoRichardsMechanics/Mockup2D/mockup.prj
index d26a0e77a0769a5c7279435f139792c91b6e8069..75649bbfff7fc7f704cb46c0388ea26212d6ba94 100644
--- a/Tests/Data/ThermoRichardsMechanics/Mockup2D/mockup.prj
+++ b/Tests/Data/ThermoRichardsMechanics/Mockup2D/mockup.prj
@@ -418,7 +418,7 @@
         <vtkdiff>
             <regex>mockup_results_[0-9].*[.]vtu</regex>
             <field>pressure</field>
-            <absolute_tolerance>7.2e-6</absolute_tolerance>
+            <absolute_tolerance>8.3e-6</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
@@ -430,19 +430,19 @@
         <vtkdiff>
             <regex>mockup_results_[0-9].*[.]vtu</regex>
             <field>sigma</field>
-            <absolute_tolerance>1.1e-6</absolute_tolerance>
+            <absolute_tolerance>1.5e-6</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
             <regex>mockup_results_[0-9].*[.]vtu</regex>
             <field>swelling_stress</field>
-            <absolute_tolerance>2e-7</absolute_tolerance>
+            <absolute_tolerance>3e-7</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
             <regex>mockup_results_[0-9].*[.]vtu</regex>
             <field>temperature</field>
-            <absolute_tolerance>4e-12</absolute_tolerance>
+            <absolute_tolerance>5e-12</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
@@ -454,7 +454,7 @@
         <vtkdiff>
             <regex>mockup_results_[0-9].*[.]vtu</regex>
             <field>relative_permeability</field>
-            <absolute_tolerance>9.1e-14</absolute_tolerance>
+            <absolute_tolerance>1.0e-13</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
@@ -466,7 +466,7 @@
         <vtkdiff>
             <regex>mockup_results_[0-9].*[.]vtu</regex>
             <field>relative_permeability_ip</field>
-            <absolute_tolerance>8.2e-14</absolute_tolerance>
+            <absolute_tolerance>9.1e-14</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
     </test_definition>