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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