Hi Peter,
Thanks a lot for the info!
We have recently implemented in deal.II a space-time HDG method for the
advection-diffusion problem on deforming domains. Our analysis allows the
spatial polynomial order p_s to differ from the temporal one p_t. When p_t
= p_s, we just call FE_DGP, FE_FaceP constructors with nothing extra to do
and the rates come out nicely matching the a priori rates of convergence.
And now we are trying to have a p_t = p_s +1 test case to further validate
our analysis, which led to this post.
Best regards,
Greg
On Saturday, March 11, 2023 at 2:20:37 PM UTC peterr...@gmail.com wrote:
> 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 ygre...@gmail.com 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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