diff --git a/ProcessLib/SmallDeformation/Tests.cmake b/ProcessLib/SmallDeformation/Tests.cmake
index b2849c3d7442e7e33177f8dfca7bb35236e76e21..7b83dbf1cdd114ff626d341f0e48cefa3ebbcee8 100644
--- a/ProcessLib/SmallDeformation/Tests.cmake
+++ b/ProcessLib/SmallDeformation/Tests.cmake
@@ -40,8 +40,8 @@ AddTest(
     TESTER vtkdiff
     REQUIREMENTS NOT OGS_USE_MPI
     DIFF_DATA
-    square_1e5_expected_pcs_0_ts_4_t_1.000000.vtu square_1e5_pcs_0_ts_4_t_1.000000.vtu displacement displacement 1e-16 1e-16
-    square_1e5_expected_pcs_0_ts_4_t_1.000000.vtu square_1e5_pcs_0_ts_4_t_1.000000.vtu sigma sigma 1e-16 1e-16
+    square_1e5_expected_pcs_0_ts_4_t_1.000000.vtu square_1e5_pcs_0_ts_4_t_1.000000.vtu displacement displacement 1e-15 0
+    square_1e5_expected_pcs_0_ts_4_t_1.000000.vtu square_1e5_pcs_0_ts_4_t_1.000000.vtu sigma sigma 1e-13 0
 )
 AddTest(
     NAME Mechanics_SDL_square_1e2_quad8_traction_topBC
diff --git a/ProcessLib/ThermoMechanics/Tests.cmake b/ProcessLib/ThermoMechanics/Tests.cmake
index e98d0eb746589288157970cc66cc990d518744e9..08d33556410a8af0cfddb48e158f24f0a4092999 100644
--- a/ProcessLib/ThermoMechanics/Tests.cmake
+++ b/ProcessLib/ThermoMechanics/Tests.cmake
@@ -57,9 +57,9 @@ AddTest(
     DIFF_DATA
     expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu displacement displacement 5e-11 1e-15
     expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu temperature temperature 5e-11 1e-15
-    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_xx sigma_xx 5e-11 1e-15
-    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_yy sigma_yy 5e-11 1e-15
-    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_zz sigma_zz 5e-11 1e-15
+    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_xx sigma_xx 5e-11 0
+    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_yy sigma_yy 6e-11 0
+    expected_tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu tm_q_quad_pcs_0_ts_20_t_20000.000000.vtu sigma_zz sigma_zz 5e-11 0
 )
 
 AddTest(