From: hartmann <hartmann@0785d39b-7218-0410-832d-ea1e28bc413d>
Date: Tue, 20 Nov 2001 16:02:28 +0000 (+0000)
Subject: Include all results.
X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=b46d2559510ef534791668a6932028f1b876448b;p=dealii-svn.git

Include all results.


git-svn-id: https://svn.dealii.org/trunk@5217 0785d39b-7218-0410-832d-ea1e28bc413d
---

diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-12.data/results.html b/deal.II/doc/tutorial/chapter-2.step-by-step/step-12.data/results.html
index e67fccc1c1..f93881c8f5 100644
--- a/deal.II/doc/tutorial/chapter-2.step-by-step/step-12.data/results.html
+++ b/deal.II/doc/tutorial/chapter-2.step-by-step/step-12.data/results.html
@@ -1,2 +1,81 @@
 <a name="Results"></a>
 <h1>Results</h1>
+
+<p>
+The output of this program consist of the console output, the eps
+files including the grids, and the solutions given in gnuplot format.
+<code>
+<pre>
+Cycle 0:
+   Number of active cells:       64
+   Number of degrees of freedom: 256
+Time of assemble_system1: 0.26
+Time of assemble_system2: 0.22
+solution1 and solution2 do not differ.
+Writing grid to &lt;grid-0.eps&gt;...
+Writing solution to &lt;sol-0.gnuplot&gt;...
+Cycle 1:
+   Number of active cells:       112
+   Number of degrees of freedom: 448
+Time of assemble_system1: 0.47
+Time of assemble_system2: 0.39
+solution1 and solution2 do not differ.
+Writing grid to &lt;grid-1.eps&gt;...
+Writing solution to &lt;sol-1.gnuplot&gt;...
+Cycle 2:
+   Number of active cells:       214
+   Number of degrees of freedom: 856
+Time of assemble_system1: 0.89
+Time of assemble_system2: 0.73
+solution1 and solution2 do not differ.
+Writing grid to &lt;grid-2.eps&gt;...
+Writing solution to &lt;sol-2.gnuplot&gt;...
+Cycle 3:
+   Number of active cells:       415
+   Number of degrees of freedom: 1660
+Time of assemble_system1: 1.78
+Time of assemble_system2: 1.43
+solution1 and solution2 do not differ.
+Writing grid to &lt;grid-3.eps&gt;...
+Writing solution to &lt;sol-3.gnuplot&gt;...
+Cycle 4:
+   Number of active cells:       796
+   Number of degrees of freedom: 3184
+Time of assemble_system1: 3.29
+Time of assemble_system2: 2.76
+solution1 and solution2 do not differ.
+Writing grid to &lt;grid-4.eps&gt;...
+Writing solution to &lt;sol-4.gnuplot&gt;...
+Cycle 5:
+   Number of active cells:       1561
+   Number of degrees of freedom: 6244
+Time of assemble_system1: 6.61
+Time of assemble_system2: 5.4
+solution1 and solution2 do not differ.
+Writing grid to &lt;grid-5.eps&gt;...
+Writing solution to &lt;sol-5.gnuplot&gt;...
+
+</pre>
+</code>
+We see that, as expected, on each refinement step the two solutions
+coincide. The difference measured in time of treating each face only
+once (second version of the DG method) in comparison with treating
+each face twice within a nested loop over all cells and all faces of
+each cell (first version), is much less than one might have
+expected. The gain is less than 20% on all refinement steps.
+</p>
+
+<p> First we show the solutions on the initial mesh, the mesh after two
+and after five adaptive refinement steps.
+<p align="center">
+  <img src="step-12.data/sol-0.gif" alt="sol-0.gnuplot" width="75%">
+  <img src="step-12.data/sol-2.gif" alt="sol-2.gnuplot" width="75%">
+  <img src="step-12.data/sol-5.gif" alt="sol-5.gnuplot" width="75%">
+</p>
+
+<p> And finally we show the final grid (after 5 refinement steps). The
+grid is largely concentrated in the vicinity of the jump of the
+solution.
+<p align="center">
+  <img src="step-12.data/grid-5.gif" alt="grid-5.eps" width="50%">
+</p>