Question: Seeking an example for using the Arnold-Boffi-Falk element (FE_ABF)

[Tom Jackson]

Hello everyone,

I am currently studying mixed finite element methods for linear elasticity, and I am particularly interested in the Arnold–Boffi–Falk (ABF) elements, which are H(div)-conforming elements on quadrilaterals.

I noticed that in the deal.II GitHub repository, there are files such as `tests/fe/abf_01.cc`, which verify the correctness of ABF elements. However, as far as I can see, these tests are primarily designed for element verification rather than for solving an actual problem.

What I am looking for is a minimal working example that demonstrates how to use ABF elements in a practical setting — for instance, the simplest linear elasticity case formulated in mixed form (stress-displacement). Such a code example would be extremely helpful for me to understand how ABF elements can be applied in real problem-solving with deal.II.

If anyone could share existing links, references, or resources related to ABF elements in deal.II — or a minimal working code example — I would be very grateful.

Thank you very much in advance for your help!

Best regards,  

Tom