Hi everyone,

I've got a diffusion-ish equation where I'd like to do the following: 

   1. Partition my domain into n subdomains -- for concreteness, say the 
   domain is a rectangle and my partitions are two (completely separated) 
   circles along with the rest of the rectangle.
   2. Relax the system on each of the subdomains as if they were an 
   isolated system (say, with pure Dirichlet or pure Neumann BCs).
   3. Eliminate the partitions and evolve the system altogether without any 
   of the synthetically-imposed BCs.

As a first guess I suspect I can just mark each of the subdomains with a 
material_id or a user_index or something, and then only iterate over the 
cells from a particular subdomain during the assembly and solve normally. 
However, I am unsure how to mark the appropriate faces on the outside of 
the subdomains as boundary faces. 

Has anyone dealt with this kind of problem before? Does it seem like this 
is the right direction to go? And how can I mark faces as belonging to a 
boundary, even if the cells are internal to the domain?

Any help is appreciated.

- Lucas

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