vganpat,

I am trying to solve a problem that has both the volume integral and a 
> surface integral.
>
You would normally just create a quadrature rule for the volume and the 
surface integral separately.
 

> If I am using a higher order polynomial approximation and use Gauss 
> Lobatto quadrature, 
> the project_to_face() function seems to generate new points on the faces. 
> But, with GLL points, 
> there are already some points on the face that also contribute to the 
> volume integral. 
> What is not clear to me is, through this projection operation, I will lose 
> the unique global number 
> for these coincident points (those from Quadrature and then the 
> SubQuadrature). 
> If I were to record responses at the Quadrature points, with this 
> duplication of nodes, 
> how can I uniquely capture the response. Any help is appreciated. 
>
What exactly are you trying to achieve? In general, the quadrature points 
do not coincide with the support points of the used finite element
on a cell. Why are you using Gauss-Lobatto quadrature? Can you explain a 
bit more what you are doing?

Best,
Daniel

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