diff --git a/Tests/Data/EllipticPETSc/cube_1e3_XDMF.prj b/Tests/Data/EllipticPETSc/cube_1e3_XDMF.prj
index a7cc316d1bce564ad2bbeab61c777e76e4d2726e..ca8fd5dc1a466536c960173f1f27cd0819424cc0 100644
--- a/Tests/Data/EllipticPETSc/cube_1e3_XDMF.prj
+++ b/Tests/Data/EllipticPETSc/cube_1e3_XDMF.prj
@@ -45,7 +45,15 @@
                     <type>BackwardEuler</type>
                 </time_discretization>
                 <time_stepping>
-                    <type>SingleStep</type>
+                    <type>FixedTimeStepping</type>
+                    <t_initial>0.0</t_initial>
+                    <t_end>1e-1</t_end>
+                    <timesteps>
+                        <pair>
+                            <repeat>1</repeat>
+                            <delta_t>1e-1</delta_t>
+                        </pair>
+                    </timesteps>
                 </time_stepping>
             </process>
         </processes>
diff --git a/Tests/Data/Parabolic/LiquidFlow/SimpleSynthetics/XDMF/FunctionParameterTest_XDMF.prj b/Tests/Data/Parabolic/LiquidFlow/SimpleSynthetics/XDMF/FunctionParameterTest_XDMF.prj
index 2eed785076be2f34dd4dcf08428b187615345019..285a2e1d36e5641e943d6a1b203d4c682d14f5e6 100644
--- a/Tests/Data/Parabolic/LiquidFlow/SimpleSynthetics/XDMF/FunctionParameterTest_XDMF.prj
+++ b/Tests/Data/Parabolic/LiquidFlow/SimpleSynthetics/XDMF/FunctionParameterTest_XDMF.prj
@@ -132,8 +132,6 @@ boundary meshes will be written as well -->
             <suffix>_ts_{:timestep}_t_{:time}</suffix>
             <meshes>
                 <mesh>square_5x5_tris_32</mesh>
-                <mesh>square_5x5_tris_32_left_boundary</mesh>
-                <mesh>square_5x5_tris_32_right_boundary</mesh>
             </meshes>
             <timesteps>
                 <pair>