> deal.II 8.4.0
> petsc 3.3.0.3
> MUMPS 4.10.0-p3
>

This PETSc and MUMPS > 4 years old. Update to the latest versions and try 
again. If problem persists, provide the relevant snippet of the code.
 

> Sorry, I am not familiar with the petsc library. You meant if I call 
> *solver.solve(system_matrix,solution,system_rhs)* twice, internally, it 
> would use the factorization from the first time for the second solving 
> process? (of course the system matrix is the same.) Do i understand this 
> correctly? Thanks.
>

Yes, correct.

@Denis: I agree, the logic is somewhat deficient. I also think 
documentation and interface itself (e.g. I have no idea why does method 
set_solver_type 
<https://www.dealii.org/developer/doxygen/deal.II/classPETScWrappers_1_1SparseDirectMUMPS.html#a60cb4d5b7271dfed1e82993e41f10629>
 
exist and exposed to the public) could be improved. 

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