<a name="Results"></a>
<h1>Results</h1>
-
+<p>
+This is what the program outputs:
<pre>
Using mapping with degree 1:
============================
320 1.250059 0.003255
1280 1.252495 0.000819
5120 1.253109 0.000205
-</pre>
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+</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>
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