Hello everyone,
I'm writing this post because I would need help to build a "particular" 
finite element space. Let us suppose to have a scalar field in 2D. I want 
to consider a family of basis functions along the horizontal direction 
(e.g. basis functions based on Legendre polynomials) and a different family 
of basis functions along the vertical direction (e.g. basis functions based 
on Laguerre polynomials). Is there some class that can help to implement 
such a space? The main difference with respect to the "standard" finite 
elements is that the this space is not simply the tensor product of 1D 
basis functions. 

There is this class FE_DGVector 
<https://www.dealii.org/current/doxygen/deal.II/classFE__DGVector.html#a1351e60ba12ff8474b93306930a99701>,
 
which maybe can help, but I am not fully sure about that. Indeed, another 
required feature is the possibility to consider different degrees along the 
two directions, as it happens for instance for Raviart-Thomas spaces. The 
constructor of Raviart-Thomas polynomials takes in input two different 
polynomial degrees (one for normal direction and another one for the 
tangetial direction). Is there some general functionality to do something 
similar for other polynomials, which can be in principle different along 
the two directions, and then pass it to a finite element space?

I hope the question is clear. Thanks in advance

Best,

Giuseppe

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