Hello all,

I have an extruded mesh, and I would like to solve a finite element problem 
separately on each 'column' as part of a larger finite element solve in 
which all DoF are coupled through a discontinuous Galerkin scheme for an 
elliptic equation--so multiply defined values on the boundaries of each 
column are not a problem.

   - I already have the columns tagged by material ID
   - I imagine I should instantiate a list of new Triangulations, 
   DoFHandlers, and solver classes for each column and then map the solutions 
   back to the original domain
   - *Is there a good way to extract a separate triangulation for each 
   column*? I was looking for something similar to extract_boundary_mesh 
   but with a material_id
   
Alternatively, it seems that I could assign the DoFs in the globally 
coupled DoFHandler with DoFTools::get_subdomain_association(). *Would this 
be a better way to set up each finite element problem by column?* It's 
unclear to me if I could use that information to set up an independent 
linear system for each subdomain.

Any guidance would be appreciated!
Corbin

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