Hi deal.ii community,

I am having a little issue with a (smart) design of a (not so simple) 
multiscale FEM. The problem in its simple form is the following: I have a 
coarse mesh and on each coarse cell I replace the standard basis (for 
example Q1) with basis functions that reflect some whatever local 
heterogenities of my problem at hand. These basis functions live on 
separate grids that I created from the geometry of a coarse cell (they are 
separate objects holding FEM data).

Handling the data this way is quite tedious and not efficient. Now my 
question:

Is it possible to have system matrices, dofs and solution vectors etc on 
two different refinement levels of a mesh? Say my coarse FEM holds data on 
refinement level 5 and my basis function(s) on each coarse cell live on the 
leaves of each coarse cell on say refinement level 10?

Maybe some kind of multigrid technique can be used here? Any ideas or 
suggestions where I should look?

Best regards,
Konrad

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