]> https://gitweb.dealii.org/ - dealii-svn.git/commitdiff
Finish results section.
authorwolf <wolf@0785d39b-7218-0410-832d-ea1e28bc413d>
Mon, 17 Sep 2001 08:46:29 +0000 (08:46 +0000)
committerwolf <wolf@0785d39b-7218-0410-832d-ea1e28bc413d>
Mon, 17 Sep 2001 08:46:29 +0000 (08:46 +0000)
git-svn-id: https://svn.dealii.org/trunk@5016 0785d39b-7218-0410-832d-ea1e28bc413d

deal.II/doc/tutorial/chapter-2.step-by-step/step-11.data/results.html

index b7832cdd97c16bfa7d41c6e8903173994bb8d738..75ab4e996cce47851f3aff5e80114afc985c2606 100644 (file)
@@ -1,7 +1,8 @@
 <a name="Results"></a>
 <h1>Results</h1>
 
-
+<p>
+This is what the program outputs:
 <pre>
 Using mapping with degree 1:
 ============================
@@ -32,4 +33,15 @@ cells  |u|_1    error
   320 1.250059 0.003255 
  1280 1.252495 0.000819 
  5120 1.253109 0.000205 
-</pre>
\ No newline at end of file
+</pre>
+As we expected, the convergence order for each of the different
+mappings is clearly quadratic in the mesh size. What <it>is</it>
+interesting, though, is that the error for a bilinear mapping
+(i.e. degree 1) is more that three times larger than that for the
+higher order mappings; it is therefore clearly advantageous in this
+case to use a higher order mapping, not because it improves the order
+of convergence but just to reduce the constant before the convergence
+order. On the other hand, using a cubic mapping only improves the
+result further insignicantly, except for the case of very coarse
+grids.
+</p>
\ No newline at end of file

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