<p>
-The second are the various kinds of tables. Some are shown in the
-output written to the screen while the program runs, which we first
-display:
+Secondly, the program writes tables not only to disk, but also to the
+screen while running:
</p>
<pre>
<code>
+examples/step-7> make run
+============================ Running step-7
Solving with Q1 elements, adaptive refinement
=============================================
Number of active cells: 466
Number of degrees of freedom: 543
-cycle cells dofs L2 H1 Linfty
-0 4 9 1.198e+00 2.732e+00 1.383e+00
-1 13 22 8.795e-02 1.193e+00 1.816e-01
-2 31 46 8.147e-02 1.167e+00 1.654e-01
-3 64 87 7.702e-02 1.077e+00 1.310e-01
-4 127 160 4.643e-02 7.988e-01 6.745e-02
-5 244 297 2.470e-02 5.568e-01 3.668e-02
-6 466 543 1.622e-02 4.107e-01 2.966e-02
-
-
-n cells H1 L2
-0 4 2.732e+00 1.198e+00
-1 13 1.193e+00 8.795e-02
-2 31 1.167e+00 8.147e-02
-3 64 1.077e+00 7.702e-02
-4 127 7.988e-01 4.643e-02
-5 244 5.568e-01 2.470e-02
-6 466 4.107e-01 1.622e-02
-
+cycle cells dofs L2 H1 Linfty
+ 0 4 9 1.198e+00 2.732e+00 1.383e+00
+ 1 13 22 8.795e-02 1.193e+00 1.816e-01
+ 2 31 46 8.147e-02 1.167e+00 1.654e-01
+ 3 64 87 7.702e-02 1.077e+00 1.310e-01
+ 4 127 160 4.643e-02 7.988e-01 6.745e-02
+ 5 244 297 2.470e-02 5.568e-01 3.668e-02
+ 6 466 543 1.622e-02 4.107e-01 2.966e-02
Solving with Q1 elements, global refinement
===========================================
Number of active cells: 16384
Number of degrees of freedom: 16641
-cycle cells dofs L2 H1 Linfty
-0 4 9 1.198e+00 2.732e+00 1.383e+00
-1 16 25 8.281e-02 1.190e+00 1.808e-01
-2 64 81 8.142e-02 1.129e+00 1.294e-01
-3 256 289 2.113e-02 5.828e-01 4.917e-02
-4 1024 1089 5.319e-03 2.934e-01 1.359e-02
-5 4096 4225 1.332e-03 1.469e-01 3.482e-03
-6 16384 16641 3.332e-04 7.350e-02 8.758e-04
-
-
-n cells H1 L2
-0 4 2.732e+00 - 1.198e+00 - -
-1 16 1.190e+00 1.20 8.281e-02 14.47 3.86
-2 64 1.129e+00 0.08 8.142e-02 1.02 0.02
-3 256 5.828e-01 0.95 2.113e-02 3.85 1.95
-4 1024 2.934e-01 0.99 5.319e-03 3.97 1.99
-5 4096 1.469e-01 1.00 1.332e-03 3.99 2.00
-6 16384 7.350e-02 1.00 3.332e-04 4.00 2.00
-
+cycle cells dofs L2 H1 Linfty
+ 0 4 9 1.198e+00 2.732e+00 1.383e+00
+ 1 16 25 8.281e-02 1.190e+00 1.808e-01
+ 2 64 81 8.142e-02 1.129e+00 1.294e-01
+ 3 256 289 2.113e-02 5.828e-01 4.917e-02
+ 4 1024 1089 5.319e-03 2.934e-01 1.359e-02
+ 5 4096 4225 1.332e-03 1.469e-01 3.482e-03
+ 6 16384 16641 3.332e-04 7.350e-02 8.758e-04
+
+n cells H1 L2
+ 0 4 2.732e+00 - 1.198e+00 - -
+ 1 16 1.190e+00 1.20 8.281e-02 14.47 3.86
+ 2 64 1.129e+00 0.08 8.142e-02 1.02 0.02
+ 3 256 5.828e-01 0.95 2.113e-02 3.85 1.95
+ 4 1024 2.934e-01 0.99 5.319e-03 3.97 1.99
+ 5 4096 1.469e-01 1.00 1.332e-03 3.99 2.00
+ 6 16384 7.350e-02 1.00 3.332e-04 4.00 2.00
Solving with Q2 elements, global refinement
===========================================
Number of active cells: 16384
Number of degrees of freedom: 66049
-cycle cells dofs L2 H1 Linfty
-0 4 25 1.433e+00 2.445e+00 1.286e+00
-1 16 81 7.912e-02 1.168e+00 1.728e-01
-2 64 289 7.755e-03 2.511e-01 1.991e-02
-3 256 1089 9.969e-04 6.235e-02 2.764e-03
-4 1024 4225 1.265e-04 1.571e-02 3.527e-04
-5 4096 16641 1.587e-05 3.937e-03 4.343e-05
-6 16384 66049 1.986e-06 9.847e-04 5.402e-06
-
-
-n cells H1 L2
-0 4 2.445e+00 - 1.433e+00 - -
-1 16 1.168e+00 1.07 7.912e-02 18.11 4.18
-2 64 2.511e-01 2.22 7.755e-03 10.20 3.35
-3 256 6.235e-02 2.01 9.969e-04 7.78 2.96
-4 1024 1.571e-02 1.99 1.265e-04 7.88 2.98
-5 4096 3.937e-03 2.00 1.587e-05 7.97 2.99
-6 16384 9.847e-04 2.00 1.986e-06 7.99 3.00
+cycle cells dofs L2 H1 Linfty
+ 0 4 25 1.433e+00 2.445e+00 1.286e+00
+ 1 16 81 7.912e-02 1.168e+00 1.728e-01
+ 2 64 289 7.755e-03 2.511e-01 1.991e-02
+ 3 256 1089 9.969e-04 6.235e-02 2.764e-03
+ 4 1024 4225 1.265e-04 1.571e-02 3.527e-04
+ 5 4096 16641 1.587e-05 3.937e-03 4.343e-05
+ 6 16384 66049 1.986e-06 9.847e-04 5.402e-06
+
+n cells H1 L2
+ 0 4 2.445e+00 - 1.433e+00 - -
+ 1 16 1.168e+00 1.07 7.912e-02 18.11 4.18
+ 2 64 2.511e-01 2.22 7.755e-03 10.20 3.35
+ 3 256 6.235e-02 2.01 9.969e-04 7.78 2.96
+ 4 1024 1.571e-02 1.99 1.265e-04 7.88 2.98
+ 5 4096 3.937e-03 2.00 1.587e-05 7.97 2.99
+ 6 16384 9.847e-04 2.00 1.986e-06 7.99 3.00
</code>
</pre>
<p>
One can see the error reduction upon grid refinement, and for the
cases where global refinement was performed, also the convergence
-rates can be seen. The convergence rates in the H<sup>1</sup> norm of
-1 and 2 for Q1 and Q2 elements, respectively, can clearly be seen, as
-are the rates of 2 and 3 in the L<sub>2</sub> norm.
+rates can be seen. The linear and quadratic convergence rates of Q1
+and Q2 elements in the H<sup>1</sup> norm can clearly be seen, as
+are the quadratic and cubic rates in the L<sub>2</sub> norm.
</p>