On Tue, 11 Sep 2018, Rossi, Simone wrote:

If you start with the 10 node mesh
on top and refine, then you will always have continuity of any C0 (or
C1) solution variables at the two shared domain corner nodes.
This is what I would like to have. The idea is to introduce some random “cuts” 
in the mesh, where I can apply some boundary conditions.
I thought the easiest way to achieve this would have been adding new duplicated 
nodes on the side using AMR.

Yeah, if that's the effect you want, then a single refinement followed
by duplicating the non-corner internal boundary nodes is exactly what
you want to do.

Could I “break” the mesh, use AMR, and then stitch back the nodes together?

You could but it would be more of a pain.  Just do one refinement and
then break it afterward.  Or, actually, you could also use TRI6
instead of TRI3 and break the middle node between the two triangles.
---
Roy
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