From 8cde8c5d4a30c4a14e1aeab2a93fb8992e80445b Mon Sep 17 00:00:00 2001 From: wolf Date: Tue, 28 Mar 2006 15:13:25 +0000 Subject: [PATCH] Doxygenize git-svn-id: https://svn.dealii.org/trunk@12721 0785d39b-7218-0410-832d-ea1e28bc413d --- .../{results.html => results.dox} | 50 ++++++++---------- .../step-15.data/solutions-1.png | Bin 13884 -> 0 bytes .../step-15.data/solutions-2.png | Bin 12552 -> 0 bytes .../step-15.data/step-15.solution-1.png | Bin 0 -> 33302 bytes .../step-15.data/step-15.solution-2.png | Bin 0 -> 34515 bytes 5 files changed, 23 insertions(+), 27 deletions(-) rename deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/{results.html => results.dox} (85%) delete mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/solutions-1.png delete mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/solutions-2.png create mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/step-15.solution-1.png create mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/step-15.solution-2.png diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/results.html b/deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/results.dox similarity index 85% rename from deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/results.html rename to deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/results.dox index fec58f415a..03e106dafa 100644 --- a/deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/results.html +++ b/deal.II/doc/tutorial/chapter-2.step-by-step/step-15.data/results.dox @@ -1,11 +1,11 @@

Results

-

+ If run, the program generates output like this: -

-
+
+@code
 Realization 0:
    Energy: 0.00377302
    Energy: 0.00106138
@@ -53,13 +53,13 @@ Realization 9:
    Energy: 0.00723772
    Energy: 0.00690564
    Energy: 0.00690562
-
+@endcode + -

The lowest energy yet seen is in this run (you only get this by increasing the number of runs): -

-
+
+@code
 Realization 18:
    Energy: 0.00200645
    Energy: 0.000638519
@@ -73,51 +73,47 @@ Realization 18:
    Energy: 3.18104e-05
    Energy: 2.97091e-05
    Energy: 3.5011e-05
-
+@endcode + -

Apparently something went wrong in the last step (the energy increased, which it shouldn't - but then this is a strongly nonlinear problem), which is also why the program aborted after this iteration. Apart from this, the iterations shown above demonstrate that our program indeed is able to reduce the energy in the solution in each iteration, as should be. -

-

+ + Since the program did not really deliver the goal we had originally intended for (the computation of the minimal energy of finite element spaces), the graphical output is also not very exciting. Here are plots of five of the first 10 solutions (clicking on a picture gives the unscaled version of the image): -

-

- ux -

-

+@image html step-15.solutions-1.png + + + And here are the first 100 solutions, where each node in each solution is represented as a dot. As can be seen, all the solutions cluster somewhat -around the x3 curve, here shown in turquoise: -

+around the $x^{1/3}$ curve, here shown in turquoise: + + +@image html step-15.solutions-2.png + -

- ux -

-

Note that this behavior is mostly independent of the choice of starting data (which we have chosen to be close to this curve), which a posteriori justfies our choice. Some of the curves actually show a linear behavior of the solution close to the origin; this is particularly obvious when the curves are viewed in a log-log plot (not shown here, but rather left as an exercise to the reader). -

-

+ + Given the almost complete absence of interesting results of this program, we hope that at least its source code provided some information with respect to programming with deal.II -

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