diff --git a/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/p1/bar.prj b/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/p1/bar.prj
index 8e399daf1098080fc9c179038cbefb301dd4d8d2..45d3effb97a14b67a203885b04e64b262be662d3 100644
--- a/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/p1/bar.prj
+++ b/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/p1/bar.prj
@@ -292,7 +292,7 @@
         <vtkdiff>
             <file>out_bar_coarse_ED_pcs_0_ts_30_t_0.300000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>5e-8</absolute_tolerance>
+            <absolute_tolerance>6e-8</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/p3/bar.prj b/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/p3/bar.prj
index 2a9889741dab5acdfa1b65a6c7faf302f4c39808..570d6d86e9a5b7895e059442d6a7dbcc868a0786 100644
--- a/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/p3/bar.prj
+++ b/Tests/Data/Mechanics/EhlersDamageNonLocal/bar/p3/bar.prj
@@ -316,7 +316,7 @@
         <vtkdiff>
             <file>out_bar_coarse_ED_pcs_0_ts_60_t_0.600000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>1e-7</absolute_tolerance>
+            <absolute_tolerance>2e-7</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>
diff --git a/Tests/Data/Mechanics/EhlersDamageNonLocal/beam/medium/beam.prj b/Tests/Data/Mechanics/EhlersDamageNonLocal/beam/medium/beam.prj
index 36ee0fec7e944fa3c56819e5059deedbfd984f59..7219d890240022a4ebea234baf8903faa2279764 100644
--- a/Tests/Data/Mechanics/EhlersDamageNonLocal/beam/medium/beam.prj
+++ b/Tests/Data/Mechanics/EhlersDamageNonLocal/beam/medium/beam.prj
@@ -343,7 +343,7 @@
         <vtkdiff>
             <file>out_beam_medium_ED_pcs_0_ts_80_t_0.800000.vtu</file>
             <field>sigma</field>
-            <absolute_tolerance>6e-7</absolute_tolerance>
+            <absolute_tolerance>8e-7</absolute_tolerance>
             <relative_tolerance>0</relative_tolerance>
         </vtkdiff>
         <vtkdiff>