GLL points include the endpoints of the domain...they are useful when you
are trying to solve large-scale problems and have integration points same
as the interpolation points...e.g. Lagrange interpolation with gll points
etc, a very standard technique used in spectral element methods. I'm
curious abt my original question on how it is done in deal ii.
On Apr 19, 2017 4:43 AM, "Daniel Arndt"
wrote:
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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