# [deal.II] Re: FE w/ Gauss Point DoFs

```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
>>
>> Best,
>>
>> Bruno
>>
>```
```
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