Extracting solution at the domain boundaries

Have you considered using the SubMesh or MeshView classes?
See for instance: https://dl.acm.org/doi/pdf/10.1145/3471138 for examples on how to use meshview
(code at GitHub - cdaversin/mixed-dimensional-examples: Code to reproduce numerical examples presented in "Abstractions and automated algorithms for mixed-dimensional finite element methods" (2019))

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