I am trying to solve a problem that has both the volume integral and a surface integral. 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.
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