From ddbb2024ecb9b5acc7fc408fb9405be0b2f661fb Mon Sep 17 00:00:00 2001
From: wolf
+ New: The step-14 example program demonstrates duality based
+ error estimators and some more software design concepts.
+
New: In all previous versions, deal.II used
the
General
+
+ (WB 2002/05/05)
+
+
The deal.II Homepage Version "+ release + "
");
+ document.writeln("The Homepage of deal.II Version "+ release + "
");
} else {
document.writeln("The deal.II Homepage
");
}
diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/navbar.html b/deal.II/doc/tutorial/chapter-2.step-by-step/navbar.html
index 77768a64c8..3dc6e60b3b 100644
--- a/deal.II/doc/tutorial/chapter-2.step-by-step/navbar.html
+++ b/deal.II/doc/tutorial/chapter-2.step-by-step/navbar.html
@@ -101,6 +101,12 @@
Step 13
+ Step 14 +
+-TODO +The results are, well, somewhat mixed. First, the Kelly indicator +disqualifies itself by its unsteady behavior, changing the sign of the +error several times, and with increasing errors under mesh +refinement. The dual weighted error estimator has a monotone decrease +in the error, and is better than the weighted Kelly and global +refinement, but the margin is not as large as expected. This is, here, +due to the fact the global refinement can exploit the regular +structure of the meshes around the point of evaluation, which leads to +a better order of convergence for the point error. However, if we had +a mesh that is not locally rectangular, for example because we had to +approximate curved boundaries, or if the coefficients were not +constant, then this advantage of globally refinement meshes would +vanish, while the good performance of the duality based estimator +would remain.
@@ -481,7 +495,7 @@ TODO The results here are not too clearly indicating the superiority of the dual weighted error estimation approach for mesh refinement over other mesh refinement criteria, such as the Kelly indicator. This is due to -the relative simplicity of the shown application. If you are not +the relative simplicity of the shown applications. If you are not convinced yet that this approach is indeed superior, you are invited to browse through the literature indicated in the introduction, where plenty of examples are provided where the dual weighted approach can diff --git a/deal.II/doc/tutorial/chapter-2.step-by-step/toc.html b/deal.II/doc/tutorial/chapter-2.step-by-step/toc.html index ae1fc2fcb6..9ceed4bd1a 100644 --- a/deal.II/doc/tutorial/chapter-2.step-by-step/toc.html +++ b/deal.II/doc/tutorial/chapter-2.step-by-step/toc.html @@ -133,6 +133,12 @@ At present, the following programs exist: