From: wolf Date: Thu, 30 Dec 1999 14:24:49 +0000 (+0000) Subject: More data for step-5. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=829fb497a61818db3986390f47db891841b6869a;p=dealii-svn.git More data for step-5. git-svn-id: https://svn.dealii.org/trunk@2127 0785d39b-7218-0410-832d-ea1e28bc413d --- 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
diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-0.jpg b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-0.jpg new file mode 100644 index 0000000000..0c08c46e4e Binary files /dev/null and b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-0.jpg differ diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-1.jpg b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-1.jpg new file mode 100644 index 0000000000..6aafa16760 Binary files /dev/null and b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-1.jpg differ diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-2.jpg b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-2.jpg new file mode 100644 index 0000000000..8b02d1300b Binary files /dev/null and b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-2.jpg differ diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-3.jpg b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-3.jpg new file mode 100644 index 0000000000..e148dd8593 Binary files /dev/null and b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-3.jpg differ diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-4.jpg b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-4.jpg new file mode 100644 index 0000000000..5185330fa9 Binary files /dev/null and b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-4.jpg differ diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-5.jpg b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-5.jpg new file mode 100644 index 0000000000..bba8fd08a9 Binary files /dev/null and b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.data/solution-5.jpg differ diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.results b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.results index 747bdbbb3d..fe4b257188 100644 --- a/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.results +++ b/deal.II/doc/tutorial/chapter-2.step-by-step/step-5.results @@ -1,3 +1,87 @@

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. +