From ea67815711df8e18ce81de87b9e231149d8b6a76 Mon Sep 17 00:00:00 2001 From: wolf Date: Thu, 15 Apr 2004 19:18:55 +0000 Subject: [PATCH] Finish mostly. git-svn-id: https://svn.dealii.org/trunk@9014 0785d39b-7218-0410-832d-ea1e28bc413d --- .../step-15.data/results.html | 38 +++++++++++++++++++ 1 file changed, 38 insertions(+) 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.html index 73b55f303b..7d1307a586 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.html @@ -84,3 +84,41 @@ 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 +

+ +

+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: +

+ +

+ 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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