From a5a66ec7a8bbfe58c4e0c504b777c29014374f35 Mon Sep 17 00:00:00 2001 From: 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 +++++++----------- deal.II/examples/step-15/doc/step-15.grid.png | Bin 199830 -> 189872 bytes .../step-15/doc/step-15.solution-0.png | Bin 162304 -> 83447 bytes .../step-15/doc/step-15.solution-1.png | Bin 175559 -> 85272 bytes .../step-15/doc/step-15.solution-2.png | Bin 180460 -> 86436 bytes .../step-15/doc/step-15.solution-3.png | Bin 182678 -> 86298 bytes .../step-15/doc/step-15.solution-4.png | Bin 183115 -> 85938 bytes .../step-15/doc/step-15.solution-5.png | Bin 181494 -> 85071 bytes .../step-15/doc/step-15.solution-6.png | Bin 179867 -> 84284 bytes .../step-15/doc/step-15.solution-7.png | Bin 178387 -> 83812 bytes 10 files 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 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 7ce2d82c7ff229ac80e7f52897ed14380c57c86f..e7df8eff69f46320cd966ded2660bb6618c926d8 100644 GIT binary patch literal 189872 zcmXtgWmwej^Yv%xZWaXTknV22q;z+8mvk;74bt7+-3`*+C?UeqrG%si|MmA=&x^e_ zUhO?QXJ*csb8oboiX0{y2^s(ZnD6DKH2?ta0QNXSfrEWglvrO3dqS|4RF(vQrUdk7 zb41vCE>9UfPfb@FPaks+Yd}wj(%ahOgT1Q@B{v%)1y?BmPy+9zCAEBW&-;QhjkWWR{(QG>P&-J>QlKTEO=K4PghUq;7N@iq z_1(_&e3wbLJNYQvFYbeW)rTnq8Xl`e$?SS9Zj5-IjiO%-l|j|Pp7;f0M^N0HpE;Ye zasGx+G4L@T$vDtV%u(RzsH%Q`)5&U^?+>Z%Thsq@QOZkjL_z=>VHwad;(+^6i|?mWEbR+X6FbudS7t6ieO1L-wh7g>NXe!>`)lark}i} zedTp{m5;>X^o(kZZCX4^HiMH$49tDFP}oL(#?YgDNlfm6gwy&8$g5EGD@;0uB1+)@ z+G1O!q=Xb82(S(*m@T~YWS)pseF_S2g#1ulx=2&{uUc{k6LNBC2C;wcnTBuWJz@C7SVK$%txVu}_)%EvG z#s4mI)z0kU=w`2Eb3>g+oSz7tvm;nEu~zu97>iUgxwb%f0dtu0aUc|N$98bprk!?h 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