diff --git a/examples/Wall_beam/precice-config.xml b/examples/Wall_beam/precice-config.xml
index e45dc7d..17585f1 100644
--- a/examples/Wall_beam/precice-config.xml
+++ b/examples/Wall_beam/precice-config.xml
@@ -1,5 +1,5 @@
 <?xml version="1.0" encoding="UTF-8" ?>
-<precice-configuration dimensions="2">
+<precice-configuration>
   <log>
     <sink
       filter="%Severity% > debug and %Rank% = 0"
@@ -10,19 +10,19 @@
   <data:vector name="Stress" />
   <data:vector name="Displacement" />
 
-  <mesh name="Fluid-Mesh-Nodes">
+  <mesh name="Fluid-Mesh-Nodes" dimensions="2">
     <use-data name="Displacement" />
   </mesh>
 
-  <mesh name="Fluid-Mesh-Faces">
+  <mesh name="Fluid-Mesh-Faces" dimensions="2">
     <use-data name="Stress" />
   </mesh>
 
-  <mesh name="Solid-write">
+  <mesh name="Solid-write" dimensions="2">
     <use-data name="Displacement" />
   </mesh>
 
-  <mesh name="Solid-read">
+  <mesh name="Solid-read" dimensions="2">
     <use-data name="Stress" />
   </mesh>
 
diff --git a/examples/bending_flap/precice-config.xml b/examples/bending_flap/precice-config.xml
index a77fb98..1204526 100644
--- a/examples/bending_flap/precice-config.xml
+++ b/examples/bending_flap/precice-config.xml
@@ -1,5 +1,5 @@
 <?xml version="1.0" encoding="UTF-8" ?>
-<precice-configuration dimensions="3">
+<precice-configuration>
   <log>
     <sink
       filter="%Severity% > debug and %Rank% = 0"
@@ -10,19 +10,19 @@
   <data:vector name="Stress" />
   <data:vector name="Displacement" />
 
-  <mesh name="Fluid-Mesh-Nodes">
+  <mesh name="Fluid-Mesh-Nodes" dimensions="3">
     <use-data name="Displacement" />
   </mesh>
 
-  <mesh name="Fluid-Mesh-Faces">
+  <mesh name="Fluid-Mesh-Faces" dimensions="3">
     <use-data name="Stress" />
   </mesh>
 
-  <mesh name="Solid-write">
+  <mesh name="Solid-write" dimensions="3">
     <use-data name="Displacement" />
   </mesh>
 
-  <mesh name="Solid-read">
+  <mesh name="Solid-read" dimensions="3">
     <use-data name="Stress" />
   </mesh>
 
diff --git a/examples/partitioned-heat-conduction/precice-config.xml b/examples/partitioned-heat-conduction/precice-config.xml
index f652d65..383f628 100644
--- a/examples/partitioned-heat-conduction/precice-config.xml
+++ b/examples/partitioned-heat-conduction/precice-config.xml
@@ -1,5 +1,5 @@
 <?xml version="1.0" encoding="UTF-8" ?>
-<precice-configuration dimensions="2">
+<precice-configuration>
   <log>
     <sink
       filter="%Severity% > debug and %Rank% = 0"
@@ -10,19 +10,19 @@
   <data:scalar name="Temperature" />
   <data:scalar name="Heat-Flux" />
 
-  <mesh name="Dirichlet-read">
+  <mesh name="Dirichlet-read" dimensions="2">
     <use-data name="Temperature" />
   </mesh>
 
-  <mesh name="Dirichlet-write">
+  <mesh name="Dirichlet-write" dimensions="2">
     <use-data name="Heat-Flux" />
   </mesh>
 
-  <mesh name="Neumann-read">
+  <mesh name="Neumann-read" dimensions="2">
     <use-data name="Heat-Flux" />
   </mesh>
 
-  <mesh name="Neumann-write">
+  <mesh name="Neumann-write" dimensions="2">
     <use-data name="Temperature" />
   </mesh>
 
diff --git a/examples/tube3d/precice-config.xml b/examples/tube3d/precice-config.xml
index 6306922..a664a9c 100644
--- a/examples/tube3d/precice-config.xml
+++ b/examples/tube3d/precice-config.xml
@@ -1,5 +1,5 @@
 <?xml version="1.0" encoding="UTF-8" ?>
-<precice-configuration dimensions="3">
+<precice-configuration>
   <log>
     <sink
       filter="%Severity% > debug and %Rank% = 0"
@@ -10,19 +10,19 @@
   <data:vector name="Stress" />
   <data:vector name="Displacement" />
 
-  <mesh name="Fluid-Mesh-Nodes">
+  <mesh name="Fluid-Mesh-Nodes" dimensions="3">
     <use-data name="Displacement" />
   </mesh>
 
-  <mesh name="Fluid-Mesh-Faces">
+  <mesh name="Fluid-Mesh-Faces" dimensions="3">
     <use-data name="Stress" />
   </mesh>
 
-  <mesh name="Solid-write">
+  <mesh name="Solid-write" dimensions="3">
     <use-data name="Displacement" />
   </mesh>
 
-  <mesh name="Solid-read">
+  <mesh name="Solid-read" dimensions="3">
     <use-data name="Stress" />
   </mesh>
 
diff --git a/tests/heat/partitioned-heat-direct-access/precice-config.xml b/tests/heat/partitioned-heat-direct-access/precice-config.xml
index b92daab..626b880 100644
--- a/tests/heat/partitioned-heat-direct-access/precice-config.xml
+++ b/tests/heat/partitioned-heat-direct-access/precice-config.xml
@@ -1,5 +1,5 @@
 <?xml version="1.0" encoding="UTF-8" ?>
-<precice-configuration dimensions="2">
+<precice-configuration>
   <log>
     <sink
       filter="%Severity% > debug and %Rank% = 0"
@@ -10,11 +10,11 @@
   <data:scalar name="Temperature" />
   <data:scalar name="Heat-Flux" />
 
-  <mesh name="Dirichlet-Mesh">
+  <mesh name="Dirichlet-Mesh" dimensions="2">
     <use-data name="Temperature" />
   </mesh>
 
-  <mesh name="Neumann-Mesh">
+  <mesh name="Neumann-Mesh" dimensions="2">
     <use-data name="Heat-Flux" />
   </mesh>
 
diff --git a/tests/heat/partitioned-heat/precice-config.xml b/tests/heat/partitioned-heat/precice-config.xml
index 5e0a014..f3ab088 100644
--- a/tests/heat/partitioned-heat/precice-config.xml
+++ b/tests/heat/partitioned-heat/precice-config.xml
@@ -1,5 +1,5 @@
 <?xml version="1.0" encoding="UTF-8" ?>
-<precice-configuration dimensions="2">
+<precice-configuration>
   <log>
     <sink
       filter="%Severity% > debug and %Rank% = 0"
@@ -10,19 +10,19 @@
   <data:scalar name="Temperature" />
   <data:scalar name="Heat-Flux" />
 
-  <mesh name="Dirichlet-read">
+  <mesh name="Dirichlet-read" dimensions="2">
     <use-data name="Temperature" />
   </mesh>
 
-  <mesh name="Dirichlet-write">
+  <mesh name="Dirichlet-write" dimensions="2">
     <use-data name="Heat-Flux" />
   </mesh>
 
-  <mesh name="Neumann-read">
+  <mesh name="Neumann-read" dimensions="2">
     <use-data name="Heat-Flux" />
   </mesh>
 
-  <mesh name="Neumann-write">
+  <mesh name="Neumann-write" dimensions="2">
     <use-data name="Temperature" />
   </mesh>
 
diff --git a/tests/solid/precice-config_unified.xml b/tests/solid/precice-config_unified.xml
index 9da38f9..20b92e4 100644
--- a/tests/solid/precice-config_unified.xml
+++ b/tests/solid/precice-config_unified.xml
@@ -1,5 +1,5 @@
 <?xml version="1.0" encoding="UTF-8" ?>
-<precice-configuration dimensions="2">
+<precice-configuration>
   <log>
     <sink
       filter="%Severity% > debug and %Rank% = 0"
@@ -10,12 +10,12 @@
   <data:vector name="Stress" />
   <data:vector name="Displacement" />
 
-  <mesh name="dealii-mesh">
+  <mesh name="dealii-mesh" dimensions="2">
     <use-data name="Displacement" />
     <use-data name="Stress" />
   </mesh>
 
-  <mesh name="tester-mesh">
+  <mesh name="tester-mesh" dimensions="2">
     <use-data name="Displacement" />
     <use-data name="Stress" />
   </mesh>