From 829fb497a61818db3986390f47db891841b6869a Mon Sep 17 00:00:00 2001 From: wolf Date: Thu, 30 Dec 1999 14:24:49 +0000 Subject: [PATCH] More data for step-5. git-svn-id: https://svn.dealii.org/trunk@2127 0785d39b-7218-0410-832d-ea1e28bc413d --- .../chapter-2.step-by-step/step-3.results | 4 +- .../step-5.data/solution-0.jpg | Bin 0 -> 8449 bytes .../step-5.data/solution-1.jpg | Bin 0 -> 14341 bytes .../step-5.data/solution-2.jpg | Bin 0 -> 20986 bytes .../step-5.data/solution-3.jpg | Bin 0 -> 25254 bytes .../step-5.data/solution-4.jpg | Bin 0 -> 25237 bytes .../step-5.data/solution-5.jpg | Bin 0 -> 18554 bytes .../chapter-2.step-by-step/step-5.results | 84 ++++++++++++++++++ 8 files changed, 86 insertions(+), 2 deletions(-) create mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-0.jpg create mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-1.jpg create mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-2.jpg create mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-3.jpg create mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-4.jpg create mode 100644 deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-5.jpg diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-3.results b/deal.II/doc/tutorial/chapter-2.step-by-step/step-3.results index 6815f678d2..959b9946c6 100644 --- a/deal.II/doc/tutorial/chapter-2.step-by-step/step-3.results +++ b/deal.II/doc/tutorial/chapter-2.step-by-step/step-3.results @@ -47,10 +47,10 @@ to get the result at the right:
-solution-1 +solution-1 -solution-2 +solution-2
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Results

+ +The output of the program looks as follows: +
+
+Cycle 0:
+   Number of active cells: 20
+   Total number of cells: 20
+   Number of degrees of freedom: 25
+   11 CG iterations needed to obtain convergence.
+Cycle 1:
+   Number of active cells: 80
+   Total number of cells: 100
+   Number of degrees of freedom: 89
+   16 CG iterations needed to obtain convergence.
+Cycle 2:
+   Number of active cells: 320
+   Total number of cells: 420
+   Number of degrees of freedom: 337
+   27 CG iterations needed to obtain convergence.
+Cycle 3:
+   Number of active cells: 1280
+   Total number of cells: 1700
+   Number of degrees of freedom: 1313
+   53 CG iterations needed to obtain convergence.
+Cycle 4:
+   Number of active cells: 5120
+   Total number of cells: 6820
+   Number of degrees of freedom: 5185
+   102 CG iterations needed to obtain convergence.
+Cycle 5:
+   Number of active cells: 20480
+   Total number of cells: 27300
+   Number of degrees of freedom: 20609
+   200 CG iterations needed to obtain convergence.
+
+
+ +In each cycle, the number of cells quadruples and the number of CG +iterations roughly doubles. + +

+ +In each cycle, the program writes one output graphic file in EPS +format. They are depicted in the following: + +

+ + + + + + + + + + + + + + + + +
+solution-0 + +solution-1 +
+solution-2 + +solution-3 +
+solution-4 + +solution-5 +
+

+ +Due to the variable coefficient (the curvature there is reduced by the +same factor by which the coefficient is increased), the top region of +the solution is flattened. The gradient of the solution is +discontinuous there, although this is not very clearly visible in the +pictures above. We will look at this in more detail in the next +example. + -- 2.39.5