Some people refer to this as an element with internal nodes. On Wednesday, March 7, 2018 at 10:43:13 AM UTC-5, Jonathan Russ wrote: > > Hi Bruno - > > Thank you for your fast reply. I'm sorry I'm not doing a great job of > explaining this. Here is an example from elasticity that illustrates what I > would like: > In this case there are displacement degrees of freedom at the nodes but > the stress is a quantity typically derived from the displacements. However, > one could make the stress an independent degree of freedom at the gauss > points. > > So, in the element there would be displacement degrees of freedom at the > nodes and stress degrees of freedom at the gauss points. Does this make > sense? > > Thank you again, > Jonathan > > On Wednesday, March 7, 2018 at 10:30:44 AM UTC-5, Bruno Turcksin wrote: >> >> 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? >> >> Best, >> >> Bruno >> >
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