Having curved boundaries alone is not sufficient sometimes. One would like
to use curved elements in the interior also. It would be very useful if one
could read high order meshes, e.g., from gmsh. The extra nodes can be used
to create an euler vector that can be used in a MappingFEField.

There has been some discussion on this in the group, see e.g.,

https://groups.google.com/d/msg/dealii/8ta3DmMCwsE/OXa4HLuiAAAJ

Chenchen, see "Option A" in Luca's response which is relevant to your
problem.

I tried to do this approach, but did not complete it yet. See my attempt
here

https://github.com/cpraveen/isoparametric

This code reads a high order gmsh grid but ignores all extra points. In a
second step, one has to read all the points and create an euler vector.
There is a reordering of vertices in each cell (see line 486), which needs
extra work to create the euler vector. I was pursuing a different approach
to high order meshes, and haven't been able to work on this.

Best
praveen

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