The metric tensor is diagonal and defined on each vertex in the following way:
The edges length in the direction (resp. et ) is (resp. et )
The initial mesh can be one of those represented on the Figure 1. The Figure 2 shows some volumic cuts on adapted meshes for several , , values.
Figure 1:
Volumic cuts in initial meshes.
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Figure 2:
Volumic cut in adapted meshes: in the left top , et ; in the right top , et ;
on the bottom , et .
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Dobrzynski
2012-03-23