Dear Deepak,

To the best of my knowledge, such functionality is not available in the 
library because, well, its not the normal type of information that one 
would be interested in. So you'll have to write the functionality yourself. 

What have you tried so far? How I would do it is by computing some 
information up-front, namely for each FE type (i.e. different combination 
of bases), determine the number of support points on a cell face. The 
FE::has_support_on_face 
<https://www.dealii.org/developer/doxygen/deal.II/classFiniteElement.html#af1043fc052fed945f579317f029ad00a>
 
function could be of use here, or you could locate the physical position of 
the support points on the face and count the number of unique entries. You 
could then loop over all cells and their faces, and the number of "hanging" 
support points on a single face would be the difference between the values 
you've computed *a priori* for the face between the two cells. You'd have 
to be careful not to do any double accounting, of course. The tutorials on 
hp-refinement as well as DG methods may shed some further light on what 
other tools you may require.

I hope that this helps get you started.
J-P

On Sunday, July 17, 2016 at 3:31:07 PM UTC+2, Deepak Gupta wrote:
>
>
> Dear All,
>
> Since I didn't receive any response to my question, I thought of raising 
> it up as a reminder if someone can help.
>
> Best
> Deepak 
>
> On Friday, July 15, 2016 at 2:02:43 PM UTC+2, Deepak Gupta wrote:
>>
>> Dear All,
>>
>> I am currently dealing with hanging support points in my problem and I 
>> have a couple of questions. These are:
>>
>> 1. For my case, different elements of the mesh have different polynomial 
>> orders of the basis. Due to support points at the element edges, I believe 
>> there will be hanging support points. How can I know the total number of 
>> these hanging points for the whole mesh?
>>
>> 2. How can I know the number of hanging support points per element? Since 
>> I need to know how many dofs per element are included in the system matrix, 
>> I need this number as well.
>>
>> I hope my questions are clear and looking forward for a suggestion on 
>> solving it.
>>
>> Best regards
>> -- 
>> *Deepak K. Gupta*
>>
>>

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