Dear deal.ii community,

I hope this message finds you well.

I am a student working on a project involving fourth-order PDEs 
(specifically, Kirchhoff plate problems), where C1-continuous finite 
elements are traditionally used. I understand that deal.ii does not have 
built-in C1 elements, and my project would benefit greatly from the 
*Hsieh-Clough-Tocher 
(HCT)* element.

Therefore, I am writing to explore the feasibility of implementing the HCT 
element myself. My current understanding is that this would require 
creating a new class, `FE_HCT`, and defining its behavior in corresponding 
`fe_hct.h` and `fe_hct.cc` files, following the instructions in *The 
deal.II FAQ* :

*“The actual implementation would most conveniently start from the 
`FE_Poly` class. You first implement the necessary polynomial space in the 
base library, then you derive `FE_Your_FE_Name` from `FE_Poly` (using your 
new polynomial class as a template) and add the connectivity information.”*

I would greatly appreciate any high-level guidance on the implementation 
process, the potential challenges of developing such a complex composite 
element, and whether it is realistically feasible for an individual 
developer to accomplish this task.

Thank you for your time and for maintaining this excellent library. 
Insights you can provide on the implementation path or feasibility analysis 
would be immensely helpful.

Best regards,

Tom Jackson

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