Jonathan,
On Wednesday, March 7, 2018 at 10:20:44 AM UTC-5, Jonathan Russ wrote:
>
> Is there a FiniteElement in deal.II that allows the addition of degrees of
> freedom at gauss points so that the DoFHandler object also manages them?
> For example, I would like to have just a standard Lagrangian finite element
> interpolated with the plain bilinear shape functions for nodal degrees of
> freedom but I also have a single degree of freedom at each gauss point
> within the element (and, consequently, residual equations at each gauss
> point in each element). Is this possible in deal.II to have degrees of
> freedom not associated with nodes?
>
I am not sure I understand your question. Do you want Lagrangian FE where
you pick yourself the node? If that is the case then you can use this
constructor
<http://dealii.org/developer/doxygen/deal.II/classFE__Q.html#a32ccedfe518cfe3fca02cdddf9e664f6>
Of course the order of the finite element will depend on the number of
point in you quadrature. Or do you want to evaluate your finite element at
some quadrature points?

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Best,
Bruno
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