Hi Siarhei,

I believe that this questions that you pose at the end of your post are
most simply answered by pointing you towards the FE_NedelecSZ
<https://dealii.org/current/doxygen/deal.II/classFE__NedelecSZ.html> class.
In the introduction to that class you will find information about how it's
implementation overcomes the orientation issue for edge and face-based
basis functions.

I hope that this helps.

Best,
Jean-Paul

On Wed, 7 Aug 2024 at 15:48, Siarhei Uzunbajakau <[email protected]>
wrote:

> Hello!
>
> I have noticed that the simulation results depend on how the mesh is
> constructed if the FE_Nedelec finite elements are used. I have described my
> experience with mesh orientation in section “Distortion nr. 3” on this
> page:
>
> https://www.cembooks.nl/logbook1/page_distortions.html
>
> I strongly suspect this has something to do with the warning message in
> the documentation of the FE_Nedelec finite elements. I quote:
>
> “Several aspects of the implementation are experimental. For the moment,
> it is safe to use the element on globally refined meshes with consistent
> orientation of faces. See the todo entries below for more detailed caveats.”
>
> Is somebody dealing with this problem? How do I orient the faces
> consistently? Are there any guidelines on how to check and fix orientations
> of the faces? Is it always possible to orient the faces consistently?
>
>
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