From: bangerth Date: Mon, 21 May 2012 10:18:11 +0000 (+0000) Subject: Update pictures and the text around it. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=a5a66ec7a8bbfe58c4e0c504b777c29014374f35;p=dealii-svn.git Update pictures and the text around it. git-svn-id: https://svn.dealii.org/trunk@25524 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-15/doc/results.dox b/deal.II/examples/step-15/doc/results.dox index 74b107e326..730f329641 100644 --- a/deal.II/examples/step-15/doc/results.dox +++ b/deal.II/examples/step-15/doc/results.dox @@ -38,74 +38,62 @@ mesh-refinement:9 @endcode - - - - -The last solution, as written by the program at the end of the -%run() function, looks as follows: - - - -@image html step-6.solution.png - - - -After each refinement, the solution after the fifth Newton- -iteration is shown in the following pictures. On the left -the solution is visualized, on the right side the solution -with the mesh is shown: - +We can visualize the solution after each set of five Newton +iterations, i.e., on each of the meshes on which we approximate the +solution. This yields the following set of images:
- @image html step-6.grid-0.png + @image html step-15.solution-0.png - @image html step-6.grid-1.png + @image html step-15.solution-1.png
- @image html step-6.grid-2.png + @image html step-15.solution-2.png - @image html step-6.grid-3.png + @image html step-15.solution-3.png
- @image html step-6.grid-4.png + @image html step-15.solution-4.png - @image html step-6.grid-5.png + @image html step-15.solution-5.png
- @image html step-6.grid-6.png + @image html step-15.solution-6.png - @image html step-6.grid-7.png + @image html step-15.solution-7.png
It is clearly visible, that the solution minimizes the surface -after each refinement. The solution converges to a picture one -would imagine a soapbubble inside a wire, which is bended like -the boundary. Also it is visible, how the boundary +after each refinement. The solution converges to a picture one +would imagine a soapbubble to be that is located inside a wire loop +that is bent like +the boundary. Also it is visible, how the boundary is smoothed out after each refinement. On the coarse mesh, the boundary doesn't look like a sine, whereas it does the finer the mesh gets. The mesh is mostly refined near the boundary, where the solution -increases or decreases strongly, whereas it is coarsened on +increases or decreases strongly, whereas it is coarsened on the inside of the domain, where nothing interesting happens, -because there isn't much change in the solution. +because there isn't much change in the solution. The final solution +and mesh are shown here: +@image html step-15.grid.png diff --git a/deal.II/examples/step-15/doc/step-15.grid.png b/deal.II/examples/step-15/doc/step-15.grid.png index 7ce2d82c7f..e7df8eff69 100644 Binary files a/deal.II/examples/step-15/doc/step-15.grid.png and b/deal.II/examples/step-15/doc/step-15.grid.png differ diff --git a/deal.II/examples/step-15/doc/step-15.solution-0.png b/deal.II/examples/step-15/doc/step-15.solution-0.png index 09ad3598b3..e259bbd538 100644 Binary files a/deal.II/examples/step-15/doc/step-15.solution-0.png and b/deal.II/examples/step-15/doc/step-15.solution-0.png differ diff --git a/deal.II/examples/step-15/doc/step-15.solution-1.png b/deal.II/examples/step-15/doc/step-15.solution-1.png index c331a9565c..ed17392689 100644 Binary files a/deal.II/examples/step-15/doc/step-15.solution-1.png and b/deal.II/examples/step-15/doc/step-15.solution-1.png differ diff --git a/deal.II/examples/step-15/doc/step-15.solution-2.png b/deal.II/examples/step-15/doc/step-15.solution-2.png index 6ed922dc67..a5fd11cb3d 100644 Binary files a/deal.II/examples/step-15/doc/step-15.solution-2.png and b/deal.II/examples/step-15/doc/step-15.solution-2.png differ diff --git a/deal.II/examples/step-15/doc/step-15.solution-3.png b/deal.II/examples/step-15/doc/step-15.solution-3.png index 94fb43d5d3..9521a33150 100644 Binary files a/deal.II/examples/step-15/doc/step-15.solution-3.png and b/deal.II/examples/step-15/doc/step-15.solution-3.png differ diff --git a/deal.II/examples/step-15/doc/step-15.solution-4.png b/deal.II/examples/step-15/doc/step-15.solution-4.png index 46024e874e..4e0f37641e 100644 Binary files a/deal.II/examples/step-15/doc/step-15.solution-4.png and b/deal.II/examples/step-15/doc/step-15.solution-4.png differ diff --git a/deal.II/examples/step-15/doc/step-15.solution-5.png b/deal.II/examples/step-15/doc/step-15.solution-5.png index 6e5e628e2a..20115537dd 100644 Binary files a/deal.II/examples/step-15/doc/step-15.solution-5.png and b/deal.II/examples/step-15/doc/step-15.solution-5.png differ diff --git a/deal.II/examples/step-15/doc/step-15.solution-6.png b/deal.II/examples/step-15/doc/step-15.solution-6.png index 8247c2edf5..d2c858bfa6 100644 Binary files a/deal.II/examples/step-15/doc/step-15.solution-6.png and b/deal.II/examples/step-15/doc/step-15.solution-6.png differ diff --git a/deal.II/examples/step-15/doc/step-15.solution-7.png b/deal.II/examples/step-15/doc/step-15.solution-7.png index 84afff1b96..3a7a0f0f1c 100644 Binary files a/deal.II/examples/step-15/doc/step-15.solution-7.png and b/deal.II/examples/step-15/doc/step-15.solution-7.png differ