Richard,

[...]
> The very last part (reinit) is working only iff every processor owns parts
> of fluid AND solid domain (which is so far not ensured).
> This behaviour can be seen running exactly the same problem with mpirun -n
> 2 or -n 3, which is attached.
>
> THE QUESTION IS NOW:
> How may one reinit the blocks in a BlockSparseMatrix, if not every
> subdomain has locally_owned_dofs in all blocks?
> Or what is the point I am missing here?
>
> I added a chunk of code at the end, that shows, that the
> block(block_row,block_col).reinit(...) fails, if the locally_owned indexset
> is empty.
>

This assertion was removed in https://github.com/dealii/dealii/pull/6106.
Either use a recent release or simply remove it in your copy of the deal.II
source files.

Best,
Daniel

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