From a17d2fde022738bf77735e71682a84558fc2303e Mon Sep 17 00:00:00 2001
From: Daniel Arndt <daniel.arndt@iwr.uni-heidelberg.de>
Date: Tue, 22 Mar 2016 15:33:31 +0100
Subject: [PATCH] Setup tests to test periodic_face_map as well

---
 tests/mpi/periodicity_01.cc                   |  28 +-
 ...odicity_01.with_petsc=true.mpirun=3.output | 258 +++++++++---------
 ...odicity_01.with_petsc=true.mpirun=5.output | 258 +++++++++---------
 ...odicity_01.with_petsc=true.mpirun=7.output | 258 +++++++++---------
 tests/mpi/periodicity_02.cc                   |   7 +-
 ...city_02.with_trilinos=true.mpirun=3.output |  50 ++--
 ...city_02.with_trilinos=true.mpirun=5.output |  50 ++--
 ...city_02.with_trilinos=true.mpirun=7.output |  50 ++--
 tests/mpi/periodicity_04.cc                   |  45 +++
 9 files changed, 529 insertions(+), 475 deletions(-)

diff --git a/tests/mpi/periodicity_01.cc b/tests/mpi/periodicity_01.cc
index b64c039f85..59924a2639 100644
--- a/tests/mpi/periodicity_01.cc
+++ b/tests/mpi/periodicity_01.cc
@@ -328,16 +328,19 @@ namespace Step40
     for (unsigned int i = 0; i<cycle; i++)
       n_points*=2;
 
+    //don't test exactly at the support points, since point_value is not stable there
+    const double eps = 1./(16.*n_points);
+
     for (unsigned int i=1; i< n_points; i++)
       {
         Vector<double> value1(1);
         Vector<double> value2(1);
 
         Point <2> point1;
-        point1(0)=1.*i/n_points;
+        point1(0)=1.*i/n_points+eps;
         point1(1)=0.;
         Point <2> point2;
-        point2(0)=1.*i/n_points;
+        point2(0)=1.*i/n_points+eps;
         point2(1)=1.;
 
         get_point_value (point1, 0, value1);
@@ -363,6 +366,9 @@ namespace Step40
     for (unsigned int i = 0; i<cycle; i++)
       n_points*=2;
 
+    //don't test exactly at the support points, since point_value is not stable there
+    const double eps = 1./(16.*n_points);
+
     for (unsigned int i=1; i< n_points; i++)
       for (unsigned int j=1; j< n_points; j++)
         {
@@ -372,21 +378,21 @@ namespace Step40
           Vector<double> value4(1);
 
           Point <3> point1;
-          point1(0)=1.*i/n_points;
-          point1(1)=1.*j/n_points;
-          point1(2)=0.;
+          point1(0)=1.*i/n_points+eps;
+          point1(1)=1.*j/n_points+eps;
+          point1(2)=0;
           Point <3> point2;
-          point2(0)=1.*i/n_points;
-          point2(1)=1.*j/n_points;
+          point2(0)=1.*i/n_points+eps;
+          point2(1)=1.*j/n_points+eps;
           point2(2)=1.;
           Point <3> point3;
-          point3(0)=1.*i/n_points;
+          point3(0)=1.*i/n_points+eps;
           point3(1)=0.;
-          point3(2)=1.*j/n_points;;
+          point3(2)=1.*j/n_points+eps;
           Point <3> point4;
-          point4(0)=1.*i/n_points;
+          point4(0)=1.*i/n_points+eps;
           point4(1)=1.;
-          point4(2)=1.*j/n_points;;
+          point4(2)=1.*j/n_points+eps;
 
           get_point_value (point1, 0, value1);
           get_point_value (point2, 0, value2);
diff --git a/tests/mpi/periodicity_01.with_petsc=true.mpirun=3.output b/tests/mpi/periodicity_01.with_petsc=true.mpirun=3.output
index 4d8e21abc1..e758ab7dfd 100644
--- a/tests/mpi/periodicity_01.with_petsc=true.mpirun=3.output
+++ b/tests/mpi/periodicity_01.with_petsc=true.mpirun=3.output
@@ -5,27 +5,27 @@ Cycle 0:
 DEAL::Starting value 0.0139546
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.500000 0.00000	-0.00549678
+0.531250 0.00000	-0.00531794
 
 Cycle 1:
 DEAL::Starting value 0.0223730
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.250000 0.00000	-0.00130251
-0.500000 0.00000	-0.00550617
-0.750000 0.00000	-0.00183466
+0.265625 0.00000	-0.00177028
+0.515625 0.00000	-0.00542131
+0.765625 0.00000	-0.00148613
 
 Cycle 2:
 DEAL::Starting value 0.0270972
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.125000 0.00000	0.00141483
-0.250000 0.00000	-0.00124254
-0.375000 0.00000	-0.00429173
-0.500000 0.00000	-0.00545458
-0.625000 0.00000	-0.00429054
-0.750000 0.00000	-0.00185255
-0.875000 0.00000	0.000356647
+0.132812 0.00000	0.00130870
+0.257812 0.00000	-0.00146441
+0.382812 0.00000	-0.00443592
+0.507812 0.00000	-0.00544040
+0.632812 0.00000	-0.00415112
+0.757812 0.00000	-0.00167411
+0.882812 0.00000	0.000448975
 
 Testing for dim=3
 
@@ -33,131 +33,131 @@ Cycle 0:
 DEAL::Starting value 0.00635044
 DEAL::Convergence step 7 value 0
    Solved in 7 iterations.
-0.500000 0.500000 0.00000	0.000839383
-0.500000 0.00000 0.500000	0.000542250
+0.531250 0.531250 0.00000	0.000730918
+0.531250 0.00000 0.531250	0.000460360
 
 Cycle 1:
 DEAL::Starting value 0.0136523
 DEAL::Convergence step 7 value 0
    Solved in 7 iterations.
-0.250000 0.250000 0.00000	-7.02574e-05
-0.250000 0.00000 0.250000	-8.84955e-05
-0.250000 0.500000 0.00000	2.30224e-05
-0.250000 0.00000 0.500000	-1.58988e-05
-0.250000 0.750000 0.00000	-5.50224e-05
-0.250000 0.00000 0.750000	-6.78044e-05
-0.500000 0.250000 0.00000	-0.000245815
-0.500000 0.00000 0.250000	-0.000367442
-0.500000 0.500000 0.00000	0.000854616
-0.500000 0.00000 0.500000	0.000545283
-0.500000 0.750000 0.00000	-7.60057e-05
-0.500000 0.00000 0.750000	-0.000116497
-0.750000 0.250000 0.00000	-0.000105394
-0.750000 0.00000 0.250000	-0.000112911
-0.750000 0.500000 0.00000	-2.69468e-06
-0.750000 0.00000 0.500000	-3.29142e-05
-0.750000 0.750000 0.00000	-7.97320e-05
-0.750000 0.00000 0.750000	-8.82296e-05
+0.265625 0.265625 0.00000	-7.01353e-05
+0.265625 0.00000 0.265625	-9.66620e-05
+0.265625 0.515625 0.00000	0.000111798
+0.265625 0.00000 0.515625	4.88063e-05
+0.265625 0.765625 0.00000	-6.75355e-05
+0.265625 0.00000 0.765625	-7.84425e-05
+0.515625 0.265625 0.00000	-0.000111934
+0.515625 0.00000 0.265625	-0.000242694
+0.515625 0.515625 0.00000	0.000800841
+0.515625 0.00000 0.515625	0.000505391
+0.515625 0.765625 0.00000	-0.000133271
+0.515625 0.00000 0.765625	-0.000148360
+0.765625 0.265625 0.00000	-8.91167e-05
+0.765625 0.00000 0.265625	-9.24145e-05
+0.765625 0.515625 0.00000	-7.45770e-05
+0.765625 0.00000 0.515625	-8.11949e-05
+0.765625 0.765625 0.00000	-8.35244e-05
+0.765625 0.00000 0.765625	-8.87256e-05
 
 Cycle 2:
 DEAL::Starting value 0.0250422
 DEAL::Convergence step 7 value 0
    Solved in 7 iterations.
-0.125000 0.125000 0.00000	0.000714896
-0.125000 0.00000 0.125000	0.000732888
-0.125000 0.250000 0.00000	4.21241e-05
-0.125000 0.00000 0.250000	6.67244e-05
-0.125000 0.375000 0.00000	-0.000451000
-0.125000 0.00000 0.375000	-0.000348082
-0.125000 0.500000 0.00000	-0.000540492
-0.125000 0.00000 0.500000	-0.000389894
-0.125000 0.625000 0.00000	-0.000333853
-0.125000 0.00000 0.625000	-0.000227459
-0.125000 0.750000 0.00000	-4.30475e-05
-0.125000 0.00000 0.750000	-3.85607e-05
-0.125000 0.875000 0.00000	0.000218364
-0.125000 0.00000 0.875000	0.000150624
-0.250000 0.125000 0.00000	-0.000102974
-0.250000 0.00000 0.125000	-0.000107813
-0.250000 0.250000 0.00000	-7.06290e-05
-0.250000 0.00000 0.250000	-8.58914e-05
-0.250000 0.375000 0.00000	-2.80802e-05
-0.250000 0.00000 0.375000	-5.09368e-05
-0.250000 0.500000 0.00000	-2.22203e-06
-0.250000 0.00000 0.500000	-2.71771e-05
-0.250000 0.625000 0.00000	-1.09299e-05
-0.250000 0.00000 0.625000	-3.17431e-05
-0.250000 0.750000 0.00000	-5.07980e-05
-0.250000 0.00000 0.750000	-6.33648e-05
-0.250000 0.875000 0.00000	-9.87957e-05
-0.250000 0.00000 0.875000	-0.000103668
-0.375000 0.125000 0.00000	-0.00101184
-0.375000 0.00000 0.125000	-0.00104895
-0.375000 0.250000 0.00000	-0.000213964
-0.375000 0.00000 0.250000	-0.000284205
-0.375000 0.375000 0.00000	0.000442810
-0.375000 0.00000 0.375000	0.000274644
-0.375000 0.500000 0.00000	0.000616793
-0.375000 0.00000 0.500000	0.000394006
-0.375000 0.625000 0.00000	0.000372231
-0.375000 0.00000 0.625000	0.000207540
-0.375000 0.750000 0.00000	-5.19075e-05
-0.375000 0.00000 0.750000	-8.76469e-05
-0.375000 0.875000 0.00000	-0.000484075
-0.375000 0.00000 0.875000	-0.000427601
-0.500000 0.125000 0.00000	-0.00131821
-0.500000 0.00000 0.125000	-0.00136606
-0.500000 0.250000 0.00000	-0.000273020
-0.500000 0.00000 0.250000	-0.000364090
-0.500000 0.375000 0.00000	0.000588192
-0.500000 0.00000 0.375000	0.000370504
-0.500000 0.500000 0.00000	0.000816320
-0.500000 0.00000 0.500000	0.000527723
-0.500000 0.625000 0.00000	0.000496202
-0.500000 0.00000 0.625000	0.000283291
-0.500000 0.750000 0.00000	-5.86240e-05
-0.500000 0.00000 0.750000	-0.000103628
-0.500000 0.875000 0.00000	-0.000627027
-0.500000 0.00000 0.875000	-0.000552959
-0.625000 0.125000 0.00000	-0.000926278
-0.625000 0.00000 0.125000	-0.000960435
-0.625000 0.250000 0.00000	-0.000220905
-0.625000 0.00000 0.250000	-0.000286844
-0.625000 0.375000 0.00000	0.000368717
-0.625000 0.00000 0.375000	0.000216623
-0.625000 0.500000 0.00000	0.000530333
-0.625000 0.00000 0.500000	0.000330746
-0.625000 0.625000 0.00000	0.000314226
-0.625000 0.00000 0.625000	0.000166179
-0.625000 0.750000 0.00000	-6.93567e-05
-0.625000 0.00000 0.750000	-0.000103178
-0.625000 0.875000 0.00000	-0.000466912
-0.625000 0.00000 0.875000	-0.000419439
-0.750000 0.125000 0.00000	-0.000179286
-0.750000 0.00000 0.125000	-0.000185378
-0.750000 0.250000 0.00000	-0.000104709
-0.750000 0.00000 0.250000	-0.000119333
-0.750000 0.375000 0.00000	-3.05754e-05
-0.750000 0.00000 0.375000	-5.60127e-05
-0.750000 0.500000 0.00000	-1.89151e-06
-0.750000 0.00000 0.500000	-2.99975e-05
-0.750000 0.625000 0.00000	-2.44780e-05
-0.750000 0.00000 0.625000	-4.77630e-05
-0.750000 0.750000 0.00000	-7.84822e-05
-0.750000 0.00000 0.750000	-9.01734e-05
-0.750000 0.875000 0.00000	-0.000142966
-0.750000 0.00000 0.875000	-0.000142512
-0.875000 0.125000 0.00000	0.000456000
-0.875000 0.00000 0.125000	0.000475880
-0.875000 0.250000 0.00000	1.30647e-06
-0.875000 0.00000 0.250000	3.27430e-05
-0.875000 0.375000 0.00000	-0.000364914
-0.875000 0.00000 0.375000	-0.000280671
-0.875000 0.500000 0.00000	-0.000453633
-0.875000 0.00000 0.500000	-0.000336703
-0.875000 0.625000 0.00000	-0.000312918
-0.875000 0.00000 0.625000	-0.000230032
-0.875000 0.750000 0.00000	-7.87644e-05
-0.875000 0.00000 0.750000	-6.52054e-05
-0.875000 0.875000 0.00000	0.000142725
-0.875000 0.00000 0.875000	0.000106650
+0.132812 0.132812 0.00000	0.000646598
+0.132812 0.00000 0.132812	0.000661952
+0.132812 0.257812 0.00000	-1.72500e-06
+0.132812 0.00000 0.257812	2.56769e-05
+0.132812 0.382812 0.00000	-0.000451434
+0.132812 0.00000 0.382812	-0.000348091
+0.132812 0.507812 0.00000	-0.000513939
+0.132812 0.00000 0.507812	-0.000370142
+0.132812 0.632812 0.00000	-0.000305068
+0.132812 0.00000 0.632812	-0.000209183
+0.132812 0.757812 0.00000	-2.83548e-05
+0.132812 0.00000 0.757812	-3.09650e-05
+0.132812 0.882812 0.00000	0.000219467
+0.132812 0.00000 0.882812	0.000152889
+0.257812 0.132812 0.00000	-0.000165876
+0.257812 0.00000 0.132812	-0.000173604
+0.257812 0.257812 0.00000	-7.42803e-05
+0.257812 0.00000 0.257812	-9.44600e-05
+0.257812 0.382812 0.00000	1.16046e-05
+0.257812 0.00000 0.382812	-2.27690e-05
+0.257812 0.507812 0.00000	4.38914e-05
+0.257812 0.00000 0.507812	4.34583e-06
+0.257812 0.632812 0.00000	1.39282e-05
+0.257812 0.00000 0.632812	-1.65665e-05
+0.257812 0.757812 0.00000	-5.57917e-05
+0.257812 0.00000 0.757812	-6.88009e-05
+0.257812 0.882812 0.00000	-0.000130653
+0.257812 0.00000 0.882812	-0.000130155
+0.382812 0.132812 0.00000	-0.000995337
+0.382812 0.00000 0.132812	-0.00104505
+0.382812 0.257812 0.00000	-0.000164912
+0.382812 0.00000 0.257812	-0.000244631
+0.382812 0.382812 0.00000	0.000490431
+0.382812 0.00000 0.382812	0.000308958
+0.382812 0.507812 0.00000	0.000638078
+0.382812 0.00000 0.507812	0.000406714
+0.382812 0.632812 0.00000	0.000363883
+0.382812 0.00000 0.632812	0.000200367
+0.382812 0.757812 0.00000	-8.04884e-05
+0.382812 0.00000 0.757812	-0.000108485
+0.382812 0.882812 0.00000	-0.000527674
+0.382812 0.00000 0.882812	-0.000466275
+0.507812 0.132812 0.00000	-0.00125036
+0.507812 0.00000 0.132812	-0.00129986
+0.507812 0.257812 0.00000	-0.000203666
+0.507812 0.00000 0.257812	-0.000301637
+0.507812 0.382812 0.00000	0.000616785
+0.507812 0.00000 0.382812	0.000392221
+0.507812 0.507812 0.00000	0.000802115
+0.507812 0.00000 0.507812	0.000515750
+0.507812 0.632812 0.00000	0.000460227
+0.507812 0.00000 0.632812	0.000258189
+0.507812 0.757812 0.00000	-9.46937e-05
+0.507812 0.00000 0.757812	-0.000128448
+0.507812 0.882812 0.00000	-0.000656598
+0.507812 0.00000 0.882812	-0.000580311
+0.632812 0.132812 0.00000	-0.000846228
+0.632812 0.00000 0.132812	-0.000878904
+0.632812 0.257812 0.00000	-0.000169720
+0.632812 0.00000 0.257812	-0.000237495
+0.632812 0.382812 0.00000	0.000367537
+0.632812 0.00000 0.382812	0.000217482
+0.632812 0.507812 0.00000	0.000494364
+0.632812 0.00000 0.507812	0.000304766
+0.632812 0.632812 0.00000	0.000273516
+0.632812 0.00000 0.632812	0.000138834
+0.632812 0.757812 0.00000	-9.38392e-05
+0.632812 0.00000 0.757812	-0.000119091
+0.632812 0.882812 0.00000	-0.000470155
+0.632812 0.00000 0.882812	-0.000423658
+0.757812 0.132812 0.00000	-0.000128857
+0.757812 0.00000 0.132812	-0.000133514
+0.757812 0.257812 0.00000	-9.39660e-05
+0.757812 0.00000 0.257812	-0.000105571
+0.757812 0.382812 0.00000	-5.43154e-05
+0.757812 0.00000 0.382812	-7.19574e-05
+0.757812 0.507812 0.00000	-3.63902e-05
+0.757812 0.00000 0.507812	-5.47864e-05
+0.757812 0.632812 0.00000	-4.81446e-05
+0.757812 0.00000 0.632812	-6.35886e-05
+0.757812 0.757812 0.00000	-8.16497e-05
+0.757812 0.00000 0.757812	-9.07392e-05
+0.757812 0.882812 0.00000	-0.000121929
+0.757812 0.00000 0.882812	-0.000124171
+0.882812 0.132812 0.00000	0.000457188
+0.882812 0.00000 0.132812	0.000477415
+0.882812 0.257812 0.00000	-2.51848e-05
+0.882812 0.00000 0.257812	1.14568e-05
+0.882812 0.382812 0.00000	-0.000393924
+0.882812 0.00000 0.382812	-0.000301463
+0.882812 0.507812 0.00000	-0.000469132
+0.882812 0.00000 0.507812	-0.000344266
+0.882812 0.632812 0.00000	-0.000311403
+0.882812 0.00000 0.632812	-0.000228583
+0.882812 0.757812 0.00000	-6.69534e-05
+0.882812 0.00000 0.757812	-5.82098e-05
+0.882812 0.882812 0.00000	0.000172488
+0.882812 0.00000 0.882812	0.000134647
diff --git a/tests/mpi/periodicity_01.with_petsc=true.mpirun=5.output b/tests/mpi/periodicity_01.with_petsc=true.mpirun=5.output
index 1cd6ca61cc..96e9a77053 100644
--- a/tests/mpi/periodicity_01.with_petsc=true.mpirun=5.output
+++ b/tests/mpi/periodicity_01.with_petsc=true.mpirun=5.output
@@ -5,27 +5,27 @@ Cycle 0:
 DEAL::Starting value 0.0140170
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.500000 0.00000	-0.00549678
+0.531250 0.00000	-0.00531794
 
 Cycle 1:
 DEAL::Starting value 0.0219353
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.250000 0.00000	-0.00130251
-0.500000 0.00000	-0.00550617
-0.750000 0.00000	-0.00183466
+0.265625 0.00000	-0.00177028
+0.515625 0.00000	-0.00542131
+0.765625 0.00000	-0.00148613
 
 Cycle 2:
 DEAL::Starting value 0.0268844
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.125000 0.00000	0.00141483
-0.250000 0.00000	-0.00124254
-0.375000 0.00000	-0.00429173
-0.500000 0.00000	-0.00545458
-0.625000 0.00000	-0.00429054
-0.750000 0.00000	-0.00185255
-0.875000 0.00000	0.000356647
+0.132812 0.00000	0.00130870
+0.257812 0.00000	-0.00146441
+0.382812 0.00000	-0.00443592
+0.507812 0.00000	-0.00544040
+0.632812 0.00000	-0.00415112
+0.757812 0.00000	-0.00167411
+0.882812 0.00000	0.000448975
 
 Testing for dim=3
 
@@ -33,131 +33,131 @@ Cycle 0:
 DEAL::Starting value 0.00632368
 DEAL::Convergence step 7 value 0
    Solved in 7 iterations.
-0.500000 0.500000 0.00000	0.000839383
-0.500000 0.00000 0.500000	0.000542250
+0.531250 0.531250 0.00000	0.000730918
+0.531250 0.00000 0.531250	0.000460360
 
 Cycle 1:
 DEAL::Starting value 0.0137083
 DEAL::Convergence step 7 value 0
    Solved in 7 iterations.
-0.250000 0.250000 0.00000	-7.02574e-05
-0.250000 0.00000 0.250000	-8.84955e-05
-0.250000 0.500000 0.00000	2.30224e-05
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-0.500000 0.00000 0.250000	-0.000367442
-0.500000 0.500000 0.00000	0.000854616
-0.500000 0.00000 0.500000	0.000545283
-0.500000 0.750000 0.00000	-7.60057e-05
-0.500000 0.00000 0.750000	-0.000116497
-0.750000 0.250000 0.00000	-0.000105394
-0.750000 0.00000 0.250000	-0.000112911
-0.750000 0.500000 0.00000	-2.69468e-06
-0.750000 0.00000 0.500000	-3.29142e-05
-0.750000 0.750000 0.00000	-7.97320e-05
-0.750000 0.00000 0.750000	-8.82296e-05
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+0.265625 0.515625 0.00000	0.000111798
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+0.515625 0.265625 0.00000	-0.000111934
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+0.515625 0.00000 0.765625	-0.000148360
+0.765625 0.265625 0.00000	-8.91167e-05
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+0.765625 0.765625 0.00000	-8.35244e-05
+0.765625 0.00000 0.765625	-8.87256e-05
 
 Cycle 2:
 DEAL::Starting value 0.0248658
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.125000 0.125000 0.00000	0.000714896
-0.125000 0.00000 0.125000	0.000732888
-0.125000 0.250000 0.00000	4.21241e-05
-0.125000 0.00000 0.250000	6.67244e-05
-0.125000 0.375000 0.00000	-0.000451000
-0.125000 0.00000 0.375000	-0.000348082
-0.125000 0.500000 0.00000	-0.000540492
-0.125000 0.00000 0.500000	-0.000389894
-0.125000 0.625000 0.00000	-0.000333853
-0.125000 0.00000 0.625000	-0.000227459
-0.125000 0.750000 0.00000	-4.30475e-05
-0.125000 0.00000 0.750000	-3.85607e-05
-0.125000 0.875000 0.00000	0.000218364
-0.125000 0.00000 0.875000	0.000150624
-0.250000 0.125000 0.00000	-0.000102974
-0.250000 0.00000 0.125000	-0.000107813
-0.250000 0.250000 0.00000	-7.06290e-05
-0.250000 0.00000 0.250000	-8.58914e-05
-0.250000 0.375000 0.00000	-2.80802e-05
-0.250000 0.00000 0.375000	-5.09368e-05
-0.250000 0.500000 0.00000	-2.22203e-06
-0.250000 0.00000 0.500000	-2.71771e-05
-0.250000 0.625000 0.00000	-1.09299e-05
-0.250000 0.00000 0.625000	-3.17431e-05
-0.250000 0.750000 0.00000	-5.07980e-05
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-0.375000 0.250000 0.00000	-0.000213964
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-0.375000 0.750000 0.00000	-5.19075e-05
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-0.750000 0.00000 0.625000	-4.77630e-05
-0.750000 0.750000 0.00000	-7.84822e-05
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-0.750000 0.875000 0.00000	-0.000142966
-0.750000 0.00000 0.875000	-0.000142512
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+0.382812 0.632812 0.00000	0.000363883
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+0.757812 0.757812 0.00000	-8.16497e-05
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+0.757812 0.00000 0.882812	-0.000124171
+0.882812 0.132812 0.00000	0.000457188
+0.882812 0.00000 0.132812	0.000477415
+0.882812 0.257812 0.00000	-2.51848e-05
+0.882812 0.00000 0.257812	1.14568e-05
+0.882812 0.382812 0.00000	-0.000393924
+0.882812 0.00000 0.382812	-0.000301463
+0.882812 0.507812 0.00000	-0.000469132
+0.882812 0.00000 0.507812	-0.000344266
+0.882812 0.632812 0.00000	-0.000311403
+0.882812 0.00000 0.632812	-0.000228583
+0.882812 0.757812 0.00000	-6.69534e-05
+0.882812 0.00000 0.757812	-5.82098e-05
+0.882812 0.882812 0.00000	0.000172488
+0.882812 0.00000 0.882812	0.000134647
diff --git a/tests/mpi/periodicity_01.with_petsc=true.mpirun=7.output b/tests/mpi/periodicity_01.with_petsc=true.mpirun=7.output
index ea81594e51..39e50ca71c 100644
--- a/tests/mpi/periodicity_01.with_petsc=true.mpirun=7.output
+++ b/tests/mpi/periodicity_01.with_petsc=true.mpirun=7.output
@@ -5,27 +5,27 @@ Cycle 0:
 DEAL::Starting value 0.0139631
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.500000 0.00000	-0.00549678
+0.531250 0.00000	-0.00531794
 
 Cycle 1:
 DEAL::Starting value 0.0222274
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.250000 0.00000	-0.00130251
-0.500000 0.00000	-0.00550617
-0.750000 0.00000	-0.00183466
+0.265625 0.00000	-0.00177028
+0.515625 0.00000	-0.00542131
+0.765625 0.00000	-0.00148613
 
 Cycle 2:
 DEAL::Starting value 0.0268966
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.125000 0.00000	0.00141483
-0.250000 0.00000	-0.00124254
-0.375000 0.00000	-0.00429173
-0.500000 0.00000	-0.00545458
-0.625000 0.00000	-0.00429054
-0.750000 0.00000	-0.00185255
-0.875000 0.00000	0.000356647
+0.132812 0.00000	0.00130870
+0.257812 0.00000	-0.00146441
+0.382812 0.00000	-0.00443592
+0.507812 0.00000	-0.00544040
+0.632812 0.00000	-0.00415112
+0.757812 0.00000	-0.00167411
+0.882812 0.00000	0.000448975
 
 Testing for dim=3
 
@@ -33,131 +33,131 @@ Cycle 0:
 DEAL::Starting value 0.00630053
 DEAL::Convergence step 7 value 0
    Solved in 7 iterations.
-0.500000 0.500000 0.00000	0.000839383
-0.500000 0.00000 0.500000	0.000542250
+0.531250 0.531250 0.00000	0.000730918
+0.531250 0.00000 0.531250	0.000460360
 
 Cycle 1:
 DEAL::Starting value 0.0135106
 DEAL::Convergence step 7 value 0
    Solved in 7 iterations.
-0.250000 0.250000 0.00000	-7.02574e-05
-0.250000 0.00000 0.250000	-8.84955e-05
-0.250000 0.500000 0.00000	2.30224e-05
-0.250000 0.00000 0.500000	-1.58988e-05
-0.250000 0.750000 0.00000	-5.50224e-05
-0.250000 0.00000 0.750000	-6.78044e-05
-0.500000 0.250000 0.00000	-0.000245815
-0.500000 0.00000 0.250000	-0.000367442
-0.500000 0.500000 0.00000	0.000854616
-0.500000 0.00000 0.500000	0.000545283
-0.500000 0.750000 0.00000	-7.60057e-05
-0.500000 0.00000 0.750000	-0.000116497
-0.750000 0.250000 0.00000	-0.000105394
-0.750000 0.00000 0.250000	-0.000112911
-0.750000 0.500000 0.00000	-2.69468e-06
-0.750000 0.00000 0.500000	-3.29142e-05
-0.750000 0.750000 0.00000	-7.97320e-05
-0.750000 0.00000 0.750000	-8.82296e-05
+0.265625 0.265625 0.00000	-7.01353e-05
+0.265625 0.00000 0.265625	-9.66620e-05
+0.265625 0.515625 0.00000	0.000111798
+0.265625 0.00000 0.515625	4.88063e-05
+0.265625 0.765625 0.00000	-6.75355e-05
+0.265625 0.00000 0.765625	-7.84425e-05
+0.515625 0.265625 0.00000	-0.000111934
+0.515625 0.00000 0.265625	-0.000242694
+0.515625 0.515625 0.00000	0.000800841
+0.515625 0.00000 0.515625	0.000505391
+0.515625 0.765625 0.00000	-0.000133271
+0.515625 0.00000 0.765625	-0.000148360
+0.765625 0.265625 0.00000	-8.91167e-05
+0.765625 0.00000 0.265625	-9.24145e-05
+0.765625 0.515625 0.00000	-7.45770e-05
+0.765625 0.00000 0.515625	-8.11949e-05
+0.765625 0.765625 0.00000	-8.35244e-05
+0.765625 0.00000 0.765625	-8.87256e-05
 
 Cycle 2:
 DEAL::Starting value 0.0248824
 DEAL::Convergence step 8 value 0
    Solved in 8 iterations.
-0.125000 0.125000 0.00000	0.000714896
-0.125000 0.00000 0.125000	0.000732888
-0.125000 0.250000 0.00000	4.21241e-05
-0.125000 0.00000 0.250000	6.67244e-05
-0.125000 0.375000 0.00000	-0.000451000
-0.125000 0.00000 0.375000	-0.000348082
-0.125000 0.500000 0.00000	-0.000540492
-0.125000 0.00000 0.500000	-0.000389894
-0.125000 0.625000 0.00000	-0.000333853
-0.125000 0.00000 0.625000	-0.000227459
-0.125000 0.750000 0.00000	-4.30475e-05
-0.125000 0.00000 0.750000	-3.85607e-05
-0.125000 0.875000 0.00000	0.000218364
-0.125000 0.00000 0.875000	0.000150624
-0.250000 0.125000 0.00000	-0.000102974
-0.250000 0.00000 0.125000	-0.000107813
-0.250000 0.250000 0.00000	-7.06290e-05
-0.250000 0.00000 0.250000	-8.58914e-05
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-0.625000 0.125000 0.00000	-0.000926278
-0.625000 0.00000 0.125000	-0.000960435
-0.625000 0.250000 0.00000	-0.000220905
-0.625000 0.00000 0.250000	-0.000286844
-0.625000 0.375000 0.00000	0.000368717
-0.625000 0.00000 0.375000	0.000216623
-0.625000 0.500000 0.00000	0.000530333
-0.625000 0.00000 0.500000	0.000330746
-0.625000 0.625000 0.00000	0.000314226
-0.625000 0.00000 0.625000	0.000166179
-0.625000 0.750000 0.00000	-6.93567e-05
-0.625000 0.00000 0.750000	-0.000103178
-0.625000 0.875000 0.00000	-0.000466912
-0.625000 0.00000 0.875000	-0.000419439
-0.750000 0.125000 0.00000	-0.000179286
-0.750000 0.00000 0.125000	-0.000185378
-0.750000 0.250000 0.00000	-0.000104709
-0.750000 0.00000 0.250000	-0.000119333
-0.750000 0.375000 0.00000	-3.05754e-05
-0.750000 0.00000 0.375000	-5.60127e-05
-0.750000 0.500000 0.00000	-1.89151e-06
-0.750000 0.00000 0.500000	-2.99975e-05
-0.750000 0.625000 0.00000	-2.44780e-05
-0.750000 0.00000 0.625000	-4.77630e-05
-0.750000 0.750000 0.00000	-7.84822e-05
-0.750000 0.00000 0.750000	-9.01734e-05
-0.750000 0.875000 0.00000	-0.000142966
-0.750000 0.00000 0.875000	-0.000142512
-0.875000 0.125000 0.00000	0.000456000
-0.875000 0.00000 0.125000	0.000475880
-0.875000 0.250000 0.00000	1.30647e-06
-0.875000 0.00000 0.250000	3.27430e-05
-0.875000 0.375000 0.00000	-0.000364914
-0.875000 0.00000 0.375000	-0.000280671
-0.875000 0.500000 0.00000	-0.000453633
-0.875000 0.00000 0.500000	-0.000336703
-0.875000 0.625000 0.00000	-0.000312918
-0.875000 0.00000 0.625000	-0.000230032
-0.875000 0.750000 0.00000	-7.87644e-05
-0.875000 0.00000 0.750000	-6.52054e-05
-0.875000 0.875000 0.00000	0.000142725
-0.875000 0.00000 0.875000	0.000106650
+0.132812 0.132812 0.00000	0.000646598
+0.132812 0.00000 0.132812	0.000661952
+0.132812 0.257812 0.00000	-1.72500e-06
+0.132812 0.00000 0.257812	2.56769e-05
+0.132812 0.382812 0.00000	-0.000451434
+0.132812 0.00000 0.382812	-0.000348091
+0.132812 0.507812 0.00000	-0.000513939
+0.132812 0.00000 0.507812	-0.000370142
+0.132812 0.632812 0.00000	-0.000305068
+0.132812 0.00000 0.632812	-0.000209183
+0.132812 0.757812 0.00000	-2.83548e-05
+0.132812 0.00000 0.757812	-3.09650e-05
+0.132812 0.882812 0.00000	0.000219467
+0.132812 0.00000 0.882812	0.000152889
+0.257812 0.132812 0.00000	-0.000165876
+0.257812 0.00000 0.132812	-0.000173604
+0.257812 0.257812 0.00000	-7.42803e-05
+0.257812 0.00000 0.257812	-9.44600e-05
+0.257812 0.382812 0.00000	1.16046e-05
+0.257812 0.00000 0.382812	-2.27690e-05
+0.257812 0.507812 0.00000	4.38914e-05
+0.257812 0.00000 0.507812	4.34583e-06
+0.257812 0.632812 0.00000	1.39282e-05
+0.257812 0.00000 0.632812	-1.65665e-05
+0.257812 0.757812 0.00000	-5.57917e-05
+0.257812 0.00000 0.757812	-6.88009e-05
+0.257812 0.882812 0.00000	-0.000130653
+0.257812 0.00000 0.882812	-0.000130155
+0.382812 0.132812 0.00000	-0.000995337
+0.382812 0.00000 0.132812	-0.00104505
+0.382812 0.257812 0.00000	-0.000164912
+0.382812 0.00000 0.257812	-0.000244631
+0.382812 0.382812 0.00000	0.000490431
+0.382812 0.00000 0.382812	0.000308958
+0.382812 0.507812 0.00000	0.000638078
+0.382812 0.00000 0.507812	0.000406714
+0.382812 0.632812 0.00000	0.000363883
+0.382812 0.00000 0.632812	0.000200367
+0.382812 0.757812 0.00000	-8.04884e-05
+0.382812 0.00000 0.757812	-0.000108485
+0.382812 0.882812 0.00000	-0.000527674
+0.382812 0.00000 0.882812	-0.000466275
+0.507812 0.132812 0.00000	-0.00125036
+0.507812 0.00000 0.132812	-0.00129986
+0.507812 0.257812 0.00000	-0.000203666
+0.507812 0.00000 0.257812	-0.000301637
+0.507812 0.382812 0.00000	0.000616785
+0.507812 0.00000 0.382812	0.000392221
+0.507812 0.507812 0.00000	0.000802115
+0.507812 0.00000 0.507812	0.000515750
+0.507812 0.632812 0.00000	0.000460227
+0.507812 0.00000 0.632812	0.000258189
+0.507812 0.757812 0.00000	-9.46937e-05
+0.507812 0.00000 0.757812	-0.000128448
+0.507812 0.882812 0.00000	-0.000656598
+0.507812 0.00000 0.882812	-0.000580311
+0.632812 0.132812 0.00000	-0.000846228
+0.632812 0.00000 0.132812	-0.000878904
+0.632812 0.257812 0.00000	-0.000169720
+0.632812 0.00000 0.257812	-0.000237495
+0.632812 0.382812 0.00000	0.000367537
+0.632812 0.00000 0.382812	0.000217482
+0.632812 0.507812 0.00000	0.000494364
+0.632812 0.00000 0.507812	0.000304766
+0.632812 0.632812 0.00000	0.000273516
+0.632812 0.00000 0.632812	0.000138834
+0.632812 0.757812 0.00000	-9.38392e-05
+0.632812 0.00000 0.757812	-0.000119091
+0.632812 0.882812 0.00000	-0.000470155
+0.632812 0.00000 0.882812	-0.000423658
+0.757812 0.132812 0.00000	-0.000128857
+0.757812 0.00000 0.132812	-0.000133514
+0.757812 0.257812 0.00000	-9.39660e-05
+0.757812 0.00000 0.257812	-0.000105571
+0.757812 0.382812 0.00000	-5.43154e-05
+0.757812 0.00000 0.382812	-7.19574e-05
+0.757812 0.507812 0.00000	-3.63902e-05
+0.757812 0.00000 0.507812	-5.47864e-05
+0.757812 0.632812 0.00000	-4.81446e-05
+0.757812 0.00000 0.632812	-6.35886e-05
+0.757812 0.757812 0.00000	-8.16497e-05
+0.757812 0.00000 0.757812	-9.07392e-05
+0.757812 0.882812 0.00000	-0.000121929
+0.757812 0.00000 0.882812	-0.000124171
+0.882812 0.132812 0.00000	0.000457188
+0.882812 0.00000 0.132812	0.000477415
+0.882812 0.257812 0.00000	-2.51848e-05
+0.882812 0.00000 0.257812	1.14568e-05
+0.882812 0.382812 0.00000	-0.000393924
+0.882812 0.00000 0.382812	-0.000301463
+0.882812 0.507812 0.00000	-0.000469132
+0.882812 0.00000 0.507812	-0.000344266
+0.882812 0.632812 0.00000	-0.000311403
+0.882812 0.00000 0.632812	-0.000228583
+0.882812 0.757812 0.00000	-6.69534e-05
+0.882812 0.00000 0.757812	-5.82098e-05
+0.882812 0.882812 0.00000	0.000172488
+0.882812 0.00000 0.882812	0.000134647
diff --git a/tests/mpi/periodicity_02.cc b/tests/mpi/periodicity_02.cc
index 04e513b775..31387eec90 100644
--- a/tests/mpi/periodicity_02.cc
+++ b/tests/mpi/periodicity_02.cc
@@ -589,6 +589,9 @@ namespace Step22
     for (unsigned int i = 0; i<cycle; i++)
       n_points*=2;
 
+    //don't test exactly at the support points, since point_value is not stable there
+    const double eps = 1./(16.*n_points);
+
     for (unsigned int i=1; i< n_points; i++)
       {
         Vector<double> value1(3);
@@ -596,9 +599,9 @@ namespace Step22
 
         Point<2> point1;
         point1(0)=0;
-        point1(1)=.5*(1.+1.*i/n_points);
+        point1(1)=.5*(1.+1.*i/n_points+eps);
         Point<2> point2;
-        point2(0)=.5*(1.+1.*i/n_points);
+        point2(0)=.5*(1.+1.*i/n_points+eps);
         point2(1)=0.;
 
         get_point_value (point1, 0, value1);
diff --git a/tests/mpi/periodicity_02.with_trilinos=true.mpirun=3.output b/tests/mpi/periodicity_02.with_trilinos=true.mpirun=3.output
index aa60359f7a..53d4955a34 100644
--- a/tests/mpi/periodicity_02.with_trilinos=true.mpirun=3.output
+++ b/tests/mpi/periodicity_02.with_trilinos=true.mpirun=3.output
@@ -2,39 +2,39 @@ Refinement cycle 0
    Assembling...
    Computing preconditioner...
    Solving...
-0.00000 0.625000	-1.60000	0.00000
-0.00000 0.750000	-1.33333	0.00000
-0.00000 0.875000	-1.14286	0.00000
+0.00000 0.632812	-1.58049	0.00000
+0.00000 0.757812	-1.31971	0.00000
+0.00000 0.882812	-1.13281	0.00000
 
 Refinement cycle 1
    Assembling...
    Computing preconditioner...
    Solving...
-0.00000 0.562500	-1.77778	0.00000
-0.00000 0.625000	-1.60000	0.00000
-0.00000 0.687500	-1.45455	0.00000
-0.00000 0.750000	-1.33333	5.49010e-13
-0.00000 0.812500	-1.23077	2.80537e-13
-0.00000 0.875000	-1.14286	0.00000
-0.00000 0.937500	-1.06667	0.00000
+0.00000 0.566406	-1.76557	0.00000
+0.00000 0.628906	-1.59010	0.00000
+0.00000 0.691406	-1.44635	0.00000
+0.00000 0.753906	-1.32644	0.00000
+0.00000 0.816406	-1.22489	0.00000
+0.00000 0.878906	-1.13782	0.00000
+0.00000 0.941406	-1.06222	0.00000
 
 Refinement cycle 2
    Assembling...
    Computing preconditioner...
    Solving...
-0.00000 0.531250	-1.88235	0.00000
-0.00000 0.562500	-1.77778	0.00000
-0.00000 0.593750	-1.68421	0.00000
-0.00000 0.625000	-1.60000	0.00000
-0.00000 0.656250	-1.52381	0.00000
-0.00000 0.687500	-1.45455	0.00000
-0.00000 0.718750	-1.39130	1.95566e-17
-0.00000 0.750000	-1.33333	5.49063e-13
-0.00000 0.781250	-1.28000	0.00000
-0.00000 0.812500	-1.23077	2.80586e-13
-0.00000 0.843750	-1.18519	1.69980e-17
-0.00000 0.875000	-1.14286	0.00000
-0.00000 0.906250	-1.10357	0.00000
-0.00000 0.937500	-1.06667	0.00000
-0.00000 0.968750	-1.03214	0.00000
+0.00000 0.533203	-1.87547	0.00000
+0.00000 0.564453	-1.77163	0.00000
+0.00000 0.595703	-1.67869	0.00000
+0.00000 0.626953	-1.59504	0.00000
+0.00000 0.658203	-1.51928	0.00000
+0.00000 0.689453	-1.45044	0.00000
+0.00000 0.720703	-1.38753	0.00000
+0.00000 0.751953	-1.32988	0.00000
+0.00000 0.783203	-1.27680	0.00000
+0.00000 0.814453	-1.22782	0.00000
+0.00000 0.845703	-1.18244	0.00000
+0.00000 0.876953	-1.14033	0.00000
+0.00000 0.908203	-1.10120	0.00000
+0.00000 0.939453	-1.06444	0.00000
+0.00000 0.970703	-1.03006	0.00000
 
diff --git a/tests/mpi/periodicity_02.with_trilinos=true.mpirun=5.output b/tests/mpi/periodicity_02.with_trilinos=true.mpirun=5.output
index aa60359f7a..53d4955a34 100644
--- a/tests/mpi/periodicity_02.with_trilinos=true.mpirun=5.output
+++ b/tests/mpi/periodicity_02.with_trilinos=true.mpirun=5.output
@@ -2,39 +2,39 @@ Refinement cycle 0
    Assembling...
    Computing preconditioner...
    Solving...
-0.00000 0.625000	-1.60000	0.00000
-0.00000 0.750000	-1.33333	0.00000
-0.00000 0.875000	-1.14286	0.00000
+0.00000 0.632812	-1.58049	0.00000
+0.00000 0.757812	-1.31971	0.00000
+0.00000 0.882812	-1.13281	0.00000
 
 Refinement cycle 1
    Assembling...
    Computing preconditioner...
    Solving...
-0.00000 0.562500	-1.77778	0.00000
-0.00000 0.625000	-1.60000	0.00000
-0.00000 0.687500	-1.45455	0.00000
-0.00000 0.750000	-1.33333	5.49010e-13
-0.00000 0.812500	-1.23077	2.80537e-13
-0.00000 0.875000	-1.14286	0.00000
-0.00000 0.937500	-1.06667	0.00000
+0.00000 0.566406	-1.76557	0.00000
+0.00000 0.628906	-1.59010	0.00000
+0.00000 0.691406	-1.44635	0.00000
+0.00000 0.753906	-1.32644	0.00000
+0.00000 0.816406	-1.22489	0.00000
+0.00000 0.878906	-1.13782	0.00000
+0.00000 0.941406	-1.06222	0.00000
 
 Refinement cycle 2
    Assembling...
    Computing preconditioner...
    Solving...
-0.00000 0.531250	-1.88235	0.00000
-0.00000 0.562500	-1.77778	0.00000
-0.00000 0.593750	-1.68421	0.00000
-0.00000 0.625000	-1.60000	0.00000
-0.00000 0.656250	-1.52381	0.00000
-0.00000 0.687500	-1.45455	0.00000
-0.00000 0.718750	-1.39130	1.95566e-17
-0.00000 0.750000	-1.33333	5.49063e-13
-0.00000 0.781250	-1.28000	0.00000
-0.00000 0.812500	-1.23077	2.80586e-13
-0.00000 0.843750	-1.18519	1.69980e-17
-0.00000 0.875000	-1.14286	0.00000
-0.00000 0.906250	-1.10357	0.00000
-0.00000 0.937500	-1.06667	0.00000
-0.00000 0.968750	-1.03214	0.00000
+0.00000 0.533203	-1.87547	0.00000
+0.00000 0.564453	-1.77163	0.00000
+0.00000 0.595703	-1.67869	0.00000
+0.00000 0.626953	-1.59504	0.00000
+0.00000 0.658203	-1.51928	0.00000
+0.00000 0.689453	-1.45044	0.00000
+0.00000 0.720703	-1.38753	0.00000
+0.00000 0.751953	-1.32988	0.00000
+0.00000 0.783203	-1.27680	0.00000
+0.00000 0.814453	-1.22782	0.00000
+0.00000 0.845703	-1.18244	0.00000
+0.00000 0.876953	-1.14033	0.00000
+0.00000 0.908203	-1.10120	0.00000
+0.00000 0.939453	-1.06444	0.00000
+0.00000 0.970703	-1.03006	0.00000
 
diff --git a/tests/mpi/periodicity_02.with_trilinos=true.mpirun=7.output b/tests/mpi/periodicity_02.with_trilinos=true.mpirun=7.output
index aa60359f7a..53d4955a34 100644
--- a/tests/mpi/periodicity_02.with_trilinos=true.mpirun=7.output
+++ b/tests/mpi/periodicity_02.with_trilinos=true.mpirun=7.output
@@ -2,39 +2,39 @@ Refinement cycle 0
    Assembling...
    Computing preconditioner...
    Solving...
-0.00000 0.625000	-1.60000	0.00000
-0.00000 0.750000	-1.33333	0.00000
-0.00000 0.875000	-1.14286	0.00000
+0.00000 0.632812	-1.58049	0.00000
+0.00000 0.757812	-1.31971	0.00000
+0.00000 0.882812	-1.13281	0.00000
 
 Refinement cycle 1
    Assembling...
    Computing preconditioner...
    Solving...
-0.00000 0.562500	-1.77778	0.00000
-0.00000 0.625000	-1.60000	0.00000
-0.00000 0.687500	-1.45455	0.00000
-0.00000 0.750000	-1.33333	5.49010e-13
-0.00000 0.812500	-1.23077	2.80537e-13
-0.00000 0.875000	-1.14286	0.00000
-0.00000 0.937500	-1.06667	0.00000
+0.00000 0.566406	-1.76557	0.00000
+0.00000 0.628906	-1.59010	0.00000
+0.00000 0.691406	-1.44635	0.00000
+0.00000 0.753906	-1.32644	0.00000
+0.00000 0.816406	-1.22489	0.00000
+0.00000 0.878906	-1.13782	0.00000
+0.00000 0.941406	-1.06222	0.00000
 
 Refinement cycle 2
    Assembling...
    Computing preconditioner...
    Solving...
-0.00000 0.531250	-1.88235	0.00000
-0.00000 0.562500	-1.77778	0.00000
-0.00000 0.593750	-1.68421	0.00000
-0.00000 0.625000	-1.60000	0.00000
-0.00000 0.656250	-1.52381	0.00000
-0.00000 0.687500	-1.45455	0.00000
-0.00000 0.718750	-1.39130	1.95566e-17
-0.00000 0.750000	-1.33333	5.49063e-13
-0.00000 0.781250	-1.28000	0.00000
-0.00000 0.812500	-1.23077	2.80586e-13
-0.00000 0.843750	-1.18519	1.69980e-17
-0.00000 0.875000	-1.14286	0.00000
-0.00000 0.906250	-1.10357	0.00000
-0.00000 0.937500	-1.06667	0.00000
-0.00000 0.968750	-1.03214	0.00000
+0.00000 0.533203	-1.87547	0.00000
+0.00000 0.564453	-1.77163	0.00000
+0.00000 0.595703	-1.67869	0.00000
+0.00000 0.626953	-1.59504	0.00000
+0.00000 0.658203	-1.51928	0.00000
+0.00000 0.689453	-1.45044	0.00000
+0.00000 0.720703	-1.38753	0.00000
+0.00000 0.751953	-1.32988	0.00000
+0.00000 0.783203	-1.27680	0.00000
+0.00000 0.814453	-1.22782	0.00000
+0.00000 0.845703	-1.18244	0.00000
+0.00000 0.876953	-1.14033	0.00000
+0.00000 0.908203	-1.10120	0.00000
+0.00000 0.939453	-1.06444	0.00000
+0.00000 0.970703	-1.03006	0.00000
 
diff --git a/tests/mpi/periodicity_04.cc b/tests/mpi/periodicity_04.cc
index d43d231f55..7211af7135 100644
--- a/tests/mpi/periodicity_04.cc
+++ b/tests/mpi/periodicity_04.cc
@@ -173,6 +173,7 @@ void check
   generate_grid(triangulation, orientation);
   set_periodicity(triangulation, reverse);
 
+  //first without refinement
   FE_Q<dim> fe(1);
   DoFHandler<dim> dof_handler(triangulation);
   dof_handler.distribute_dofs(fe);
@@ -230,6 +231,50 @@ void check
             << std::endl;
   AssertThrow(n_constraints == n_expected_constraints,
               ExcDimensionMismatch(n_constraints, n_expected_constraints));
+
+  //now refine and check if the neighboring faces are correctly found
+  typename Triangulation<dim>::active_cell_iterator cell;
+  for (cell = triangulation.begin_active(); cell != triangulation.end(); ++cell)
+    if (cell->is_locally_owned() && cell->center()(dim-1)>0)
+      cell->set_refine_flag();
+
+  triangulation.execute_coarsening_and_refinement();
+
+  typedef std::pair<typename Triangulation<dim>::cell_iterator, unsigned int> CellFace;
+  const typename std::map<CellFace, std::pair<CellFace, std::bitset<3> > > &face_map = triangulation.periodic_face_map;
+  typename std::map<CellFace, std::pair<CellFace, std::bitset<3> > >::const_iterator it;
+  int sum_of_pairs_local = face_map.size();
+  int sum_of_pairs_global;
+  MPI_Allreduce(&sum_of_pairs_local, &sum_of_pairs_global, 1, MPI_INT, MPI_SUM, triangulation.get_communicator());
+  Assert(sum_of_pairs_global>0, ExcInternalError());
+  for (it = face_map.begin(); it != face_map.end(); ++it)
+    {
+      const typename Triangulation<dim>::cell_iterator cell_1 = it->first.first;
+      const unsigned int face_no_1 = it->first.second;
+      const typename Triangulation<dim>::cell_iterator cell_2 = it->second.first.first;
+      const unsigned int face_no_2 = it->second.first.second;
+      const Point<dim> face_center_1 = cell_1->face(face_no_1)->center();
+      const Point<dim> face_center_2 = cell_2->face(face_no_2)->center();
+      Assert(std::min(std::abs(face_center_1(dim-1)-3.), std::abs(face_center_1(dim-1)+3.))<1.e-8, ExcInternalError());
+      Assert(std::min(std::abs(face_center_2(dim-1)-3.), std::abs(face_center_2(dim-1)+3.))<1.e-8, ExcInternalError());
+      if (cell_1->level()== cell_2->level())
+        for (unsigned int c = 0; c<dim-1; ++c)
+          if (std::abs(face_center_1(c)-face_center_2(c))>1.e-8)
+            {
+              std::cout << "face_center_1: " << face_center_1 << std::endl;
+              std::cout << "face_center_2: " << face_center_2 << std::endl;
+              for (auto it = triangulation.periodic_face_map.begin();
+                   it !=  triangulation.periodic_face_map.end(); ++it)
+                {
+                  std::cout << "The cell with center " << it->first.first->center()
+                            << " has on face " << it->first.second
+                            << " as neighbor the cell with center " << it->second.first.first->center()
+                            << " on face " << it->second.first.second
+                            << std::endl;
+                }
+              Assert(false, ExcInternalError());
+            }
+    }
 }
 
 int main (int argc, char *argv[])
-- 
2.39.5