In out first example, we create a triangulation from a skeleton.
Consider the domain pictured in
Figure
, top left.
The remaining diagrams in Figure
show triangulations
generated by TRIGEN for various values of HMAX and GRADE,
illustrating their effect on the resulting triangulation.
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
), which draws the
mesh with elements colored according to the quality measure q(t) in
(
). In the pictures, an element is
``good'' if
,
``fair'' if
, 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.