McKenzie,

I'm interested in applying a non-homogeneous Dirichlet boundary condition
> to a specific edge. However, I'm unsure how to identify or specify a
> particular edge or face to add the boundary condition to. Could you help
> clear this up for me?


What do you know about that particular edge? You can always ask faces or
edges, e.g., about their midpoints. Have a look at
https://www.dealii.org/current/doxygen/deal.II/step_6.html#Abettermesh.

Best,
Daniel

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