Tying adjacent meshes with non-coincident nodes

[vabufano]

Hi all,
I'm looking for some advice on connecting two adjacent, irregularly shaped volumes (mesh_faea.txt and mesh_faec_est.txt) that share a non-planar surface (stitch_faea_faec_est in mesh_faea and stitch_faec_est_faea in mesh_faec_est). I've independently meshed each volume, and the nodes along their common boundary aren't coincident.
My goal is to achieve continuity (e.g., of displacements or pore pressures) between the two meshes. However, it's crucial that I maintain separate identities for each volume so I can assign them distinct material properties (e.g., permeability).
For those familiar with Abaqus, I'm essentially trying to achieve something similar to a "tie constraint" to join these dissimilar meshes. While a direct equivalent would be great, I'm also very open to other effective strategies. What do you think would be the easiest or most robust way to handle this?
To provide some context, I've attached the two mesh files and a MOOSE input file where I've made some attempts at tying the meshes together. Feel free to take a look!
Thanks in advance for your insights!

mesh_faea.txt
mesh_faec_est.txt
test_stitch.txt

[GiudGiud]

Hello

We have node-elem constraints for this purpose.
You can set up an EqualValueEmbeddedConstraint to impose continuity using a penalty for example

Guillaume

[GiudGiud]

My goal is to achieve continuity (e.g., of displacements or pore pressures) between the two meshes. However, it's crucial that I maintain separate identities for each volume so I can assign them distinct material properties (e.g., permeability).

The cannon way to do this in moose is with a conformal mesh. You can have two subdomains that are defined on the two groups of elements. Material properties are then defined on a subdomain basis. A non conformal break in the mesh is not needed to ensure different material properties.

[lindsayad]

I would elect for a mortar constraint, EqualValueConstraint in particular, as opposed to a node-elem constraint