[Gmsh] The ratio between the number of Facets and the number of nodes.

Christophe Geuzaine cgeuzaine at ulg.ac.be
Wed Apr 8 08:42:56 CEST 2009


zhifeng sheng wrote:
> Dear all
> 
> Due to our computational method, I am very interested in the ratio 
> between the number of Facets and the number of nodes in three 
> dimensional mesh. I have been playing with the Euler's formula in three 
> dimensions, but not successful.
> 
> Does anyone have an idea on this? A bound of the ratio is also welcome.
> 

I don't know the bound. In practice for a simplicial mesh in 3D you'll 
get approximately #F = 9 * #N.



> Thanks a lot
> Best regards
> Zhifeng
> 
> 
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-- 
Prof. Christophe Geuzaine
University of Liege, Electrical Engineering and Computer Science
http://www.montefiore.ulg.ac.be/~geuzaine