[Gmsh] Numbering of higher order elements

Jean-François Remacle jean-francois.remacle at uclouvain.be
Wed Jul 16 16:07:11 CEST 2014

Le 16 juil. 2014 à 13:16, Aleksejs Fomins <aleksejs.fomins at lspr.ch> a écrit :

> Dear GMSH developers,
> I am currently trying to write a .MSH reader application for our finite
> element code. I would like to read higher order curvilinear elements
> (triangles and tetrahedrons). For that I would like to know the exact
> ordering of nodes within a higher order element for each element order
> (1 to 5).
> In section 9.3.1 of the reference I found exactly what I needed for
> orders 1 and 2. Unfortunately, I am unable to understand the exact
> ordering mechanism for other orders from section 9.3.2.
> Can you please help me with this?

Numbering is recursive 

	-) Corner nodes first
	-) Then Edge nodes 
	-) Then face nodes,
	-) Then internal nodes numbered as if nodes were nodes of 
	a lower order element.

> Regards,
> Aleksejs Fomins
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Prof. Jean-Francois Remacle
Universite catholique de Louvain (UCL)
Ecole Polytechnique de Louvain (EPL) - Louvain School of Engineering
Institute of Mechanics, Materials and Civil Engineering (iMMC)
Center for Systems Engineering and Applied Mechanics (CESAME)
Tel : +32-10-472352 -- Mobile : +32-473-909930 


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