From 0a513d4833e9f08926acdbd2ab7c0f0e04a38131 Mon Sep 17 00:00:00 2001 From: Wolfgang Bangerth Date: Mon, 21 May 2012 10:18:11 +0000 Subject: [PATCH] Update pictures and the text around it. git-svn-id: https://svn.dealii.org/trunk@25524 0785d39b-7218-0410-832d-ea1e28bc413d --- deal.II/examples/step-15/doc/results.dox | 50 +++++++++--------------- 1 file changed, 19 insertions(+), 31 deletions(-) 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 -- 2.39.5