Hi everyone,
   the coupling matrix (non_matching::coupling_matrix) obtained with 
parallel meshes is (practically) guaranteed to have and IndexSet which is 
not compatible with the original ones, as the matrix is obtained 
multiplying base functions from two indipendent different spaces, while all 
other sensible matrices (e.g. mass matrix) are computed using a functions 
from a single space. This is a problem as the basic matrix operations ( + 
and * ) are not possible (at least using TrilinosWarppers::linear_operator).

As a solution, I was thinking about implementing a function which, given a 
sparse matrix with incompatible indices and the "wished" IndexSet, makes a 
global communication to generate a "compatible" matrix. Is this reasonable? 
Are the better approaches? Or maybe Trilinos can already handle this 
situation and it is only a matter of implementation in deal.II?

Thank you.
Best,
Giovanni

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