Ce Qin, 

This finally made its way into the developer version via PR #3722 
<https://github.com/dealii/dealii/pull/3722>. The approach we finally came 
up with is to also shift the local indices when shifting the 
ConstraintMatrix objects.[1]
Merging two ConstraintMatrix objects also merges the local indices.[2]

Best,
Daniel

[1] 
https://www.dealii.org/developer/doxygen/deal.II/classConstraintMatrix.html#ad971fb29f0a15bf8d30704d2a5ab445e
[2] 
https://www.dealii.org/developer/doxygen/deal.II/classConstraintMatrix.html#aa471ba15f320b700280ab5e5ac59d88b

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