Add a Mimetic Operator Vs Finite Difference tutorial with a step-by-step explanations and comparisons

@jbrzensk

Is your feature request related to a problem? Please describe.
We need a simple step-by-step tutorial that showcases the mimetic properties as opposed to other familiar discretization methods that people with an entry-level knowledge (e.g., students) can grasp, such as Finite Differences (FD). Something that shows when the mimetic discretization is better than the other.

Describe the solution you'd like

Can we find a discerning test case that showcases that this method is really superior? For instance could we provide an example in which being just high-order FD, but not mimetic, makes the difference? And then compare the same example using the MOLE operators?

After this, we could add an efficiency-focused benchmark to report on the MOLE operators efficiency. It would be useful to have benchmarks in this regard for new users/application developers that approach the library.

Describe alternatives you've considered
An alternative could be comparing a MOLE example with a high-order FEM/SEM example from another package, e.g., libCEED.

Additional context
Some of the suggestions came up from the ICorps interviewees.

cc: @jbrzensk , I think you gave a sort of similar tutorial at the beginning of the academic year for the master students working in the project. Can we re-use part of that and make it a tutorial in our documentation?

Thanks for the discussion and work here. This issue has had no activity for 28 days, so it is now marked stale. If there is no further activity, it will be closed in 42 days.

Closing because this issue stayed stale for 42 days with no activity. If this is still needed, please reopen it or open a new issue with updated context.

Issue only partially complete (missing BC)

This issue has had no activity for 14 days. It will be marked stale in 14 days if there is no further activity.

Thanks for the discussion and work here. This issue has had no activity for 28 days, so it is now marked stale. If there is no further activity, it will be closed in 42 days.

Closing because this issue stayed stale for 42 days with no activity. If this is still needed, please reopen it or open a new issue with updated context.

This issue has had no activity for 15 days. It will be marked stale in 13 days if there is no further activity.

keep-open

This issue has had no activity for 14 days. It will be marked stale in 14 days if there is no further activity.

keep-open

This issue has had no activity for 14 days. It will be marked stale in 14 days if there is no further activity.

PR #502 will finally close this issue.

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Add a Mimetic Operator Vs Finite Difference tutorial with a step-by-step explanations and comparisons #143

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Add a Mimetic Operator Vs Finite Difference tutorial with a step-by-step explanations and comparisons #143

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github-actions commented on May 23, 2026

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