From: bangerth Date: Fri, 8 Sep 2006 21:10:49 +0000 (+0000) Subject: Finish X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=c46c2e4057b0a9b3335713bf65519cd2bebd1376;p=dealii-svn.git Finish git-svn-id: https://svn.dealii.org/trunk@13867 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-23/doc/results.dox b/deal.II/examples/step-23/doc/results.dox index 258f8adc93..810f899fd5 100644 --- a/deal.II/examples/step-23/doc/results.dox +++ b/deal.II/examples/step-23/doc/results.dox @@ -75,11 +75,39 @@ being reflected at the clamped boundary. Some numerical noise is trailing the wave, an artifact of a too-large mesh size that can be reduced by reducing the mesh width and the time step. -One of the things we can investigate is what happens if we chose another value -for the parameter $\theta$ that controls the time stepping behavior of the -program. In the run above, it was set to $\theta=\frac 12$, which corresponds -to the Crank-Nicolson scheme that was seen to conserve energy. On the other -hand, we could choose $\theta=0$ to get the explicit (forward) Euler time -stepping scheme, and $\theta=1$ for the implicit (backward) Euler scheme. If -we process the output of all three cases to show the energy in the solution as -a function of the time, we get the following graph: + + +

Possibilities for extensions

+ +If you want to explore a bit, try out some of the following things: +