Hi Georg,
sure, you can use MultiDomain / MultiDomaingrid in parallel. The best
documentation about parallel computing should be the grid howto. You can
download it from the website, see
http://www.dune-project.org/doc/grid-howto/grid-howto.pdf
or build it yourself from the dune-grid-howto module.

In DuMuX there should be tests that run in parallel, too. But not
coupled ones.

In DuMuX we introduced the MultiDomain stuff for coupling Stokes with
Darcy. Stokes leads to a saddle-point problem that could not be
efficiently solved by an iterative solver. All direct solvers are not
parallel. That's why we never tried to run the whole problem in
parallel. If your assembly is slow, it still might be worth a try.

Bye
Christoph

-- 
The method has been developed for use on a high-speed electronic
computer and would be impractical for hand-solution purposes.
                                           [Harlow & Welch 1965]

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