Hi Greg,

unfortunately we do not support anisotropic polynomials: we make the 
assumption that all faces (of the same type) and lines have the same number 
of DoFs. For what do you need such polynomial spaces?

Best,
Peter 

On Saturday, 11 March 2023 at 15:05:25 UTC+1 [email protected] wrote:

> Hi there,
>
> I was wondering if finite elements with anisotropic polynomial degrees are 
> possible in deal.II. As an example, for a 3D element, can we construct a 
> tensor product polynomial space of {1,x,y,z,xy,xz,yz, z^2,xz^2,yz^2}, i.e., 
> order 1 in x- and y-directions and 2 in z-direction?
>
> I was looking at, for example, constructors of FE_DGQ() class [1]. The 
> second constructor [2] takes an arbitrary vector of polynomials to build 
> the tensor product polynomial space. This is close to what I want but it 
> seems the argument can only be one-dimensional polynomials, which means 
> equal order on all dimensions.
>
> Would really appreciate any insights and/or tips!
>
> Best,
> Greg
>
> ------------------------------------------
> [1] https://dealii.org/current/doxygen/deal.II/classFE__DGQ.html
> [1] 
> https://dealii.org/current/doxygen/deal.II/fe__dgq_8cc_source.html#l00100
>

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