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Creating a Triangulation

 

In out first example, we create a triangulation from a skeleton. Consider the domain pictured in Figure gif, top left. The remaining diagrams in Figure gif show triangulations generated by TRIGEN for various values of HMAX and GRADE, illustrating their effect on the resulting triangulation.

   figure1474
Figure: The triangulation for HMAX=.03, GRADE=2.5 has NTF=867, NVF=489 (left). The triangulation for HMAX=.06, GRADE=2.5 has NTF=379, NVF=228 (right).

The pictures are made by INPLT (see Section gif), which draws the mesh with elements colored according to the quality measure q(t) in (gif). In the pictures, an element is ``good'' if tex2html_wrap_inline6670 , ``fair'' if tex2html_wrap_inline6672 , and ``poor'' if q(t) < .6. This is an interesting region to triangulate because the two narrow subregions at the top require small elements. TRIGEN tries to use larger elements in the larger subregions, but is constrained by the choices of HMAX and GRADE. One can see that decreasing HMAX or GRADE tends to improve the overall quality of the triangulation, at the expense of introducing more elements.



Randolph E. Bank
Fri Apr 4 12:02:05 PST 1997