Add FEniCSx solver for partitioned heat conduction tutorial

[NiklasVin]

Checklist:

• I added a summary of any user-facing changes (compared to the last release) in the changelog-entries/<PRnumber>.md.
• I will remember to squash-and-merge, providing a useful summary of the changes of this PR.

[IshaanDesai]

This PR is to be merged only after fenicsxprecice is released and available via pip.

[IshaanDesai]

Looks good in general. My suggestions are mainly cosmetic. I ran the tutorial and it runs, but at the end the error is higher than the tolerance.

L2-error: 3.56e+08
Error_max: 3.00e+10
Traceback (most recent call last):
  File "/home/desaiin/tutorials/partitioned-heat-conduction/dirichlet-fenicsx/../solver-fenicsx/heat.py", line 304, in <module>
    error, error_pointwise = compute_errors(u_n, u_ref, total_error_tol=error_tol)
                             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/home/desaiin/tutorials/partitioned-heat-conduction/solver-fenicsx/errorcomputation.py", line 19, in compute_errors
    assert (error_L2 < total_error_tol)
            ^^^^^^^^^^^^^^^^^^^^^^^^^^
AssertionError

shall we lower the tolerance?

[NiklasVin]

Looks good in general. My suggestions are mainly cosmetic. I ran the tutorial and it runs, but at the end the error is higher than the tolerance.

L2-error: 3.56e+08
Error_max: 3.00e+10
Traceback (most recent call last):
  File "/home/desaiin/tutorials/partitioned-heat-conduction/dirichlet-fenicsx/../solver-fenicsx/heat.py", line 304, in <module>
    error, error_pointwise = compute_errors(u_n, u_ref, total_error_tol=error_tol)
                             ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
  File "/home/desaiin/tutorials/partitioned-heat-conduction/solver-fenicsx/errorcomputation.py", line 19, in compute_errors
    assert (error_L2 < total_error_tol)
            ^^^^^^^^^^^^^^^^^^^^^^^^^^
AssertionError

shall we lower the tolerance?

How did you run the tutorial?
On my machine, I get 10^-12 and 10^-14 as L2 error for Dirichlet and Neumann participants

[IshaanDesai]

How did you run the tutorial? On my machine, I get 10^-12 and 10^-14 as L2 error for Dirichlet and Neumann participants

I ran the tutorial by running ./run.sh in the folders dirichlet-fenicsx/ and neumann-fenicsx/. Despite @NiklasVin having matching versions of the dependencies, the difference in the error computation persists. Perhaps we can ask one more person to try out the tutorial. @MakisH could you please try out the FEniCSx-FEniCSx case for this tutorial?