Thanks for the clarification Prof. Bangerth and Prof. Jean Paul.

On Friday, May 12, 2017 at 6:16:08 PM UTC+5:30, Wolfgang Bangerth wrote:
>
> On 05/12/2017 02:22 AM, Jean-Paul Pelteret wrote: 
> > 
> >     By Vertex, I meant the geometric quantity only. As I have used first 
> order 
> >     scalar basis functions i.e FE_Q<2> fe(1) to distribute the degrees 
> of 
> >     freedom by dof_handler.distribute_dofs(fe);. I expect 'n_dofs = 
> >     n_vertices' and also the finite element nodes to be residing 
> directly on 
> >     the geometric vertices.  So when I use  'vertices = 
> >     triangulation.get_vertices();' I expect the number of 
> elements(Points) in 
> >     vertices array to be equal to the number of nodes(geometric 
> vertices) in 
> >     my mesh. 
> > 
> > 
> > This is all correct. 
>
> But only somewhat. While it is true that their *number* is the same, 
> vertices 
> are not necessarily numbered consecutively. So the largest vertex index is 
> not 
> necessarily equal to the largest dof index. And they are definitely not 
> numbered so that vertex_index=dof_index. 
>
> Best 
>   W. 
>
> -- 
> ------------------------------------------------------------------------ 
> Wolfgang Bangerth          email:                 bang...@colostate.edu 
> <javascript:> 
>                             www: http://www.math.colostate.edu/~bangerth/ 
>
>

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