thanks for your reply!
 i got the problem solved. my fault is the misuse 
of communicate_locally_moved_vertices function. 
i got the "shallow hole" because i move the mesh when the mesh is deformed 
, the mpi processor does't know the right place of ghost layer cell.
i solve the problem by correct the whole move vector and return to the 
original mesh , which i refine and coarsen in the later step. after i 
finished the refinement , just add the whole move vector again the there is 
no "shallow hole" any more.


在 2019年10月5日星期六 UTC+8下午11:34:18,Daniel Arndt写道:
>
> huyanzhou,
>
> I try to use the communicate_locally_moved_vertices, it fixes the 
>> departure of mesh belongs to different mesh . but there still remains some 
>> problem 
>>
> [...]
>> you can see that the mesh is consistent on the boundry, but not smooth in 
>> the inner mesh ,there are some shallow hole  on the surface
>>
> Can you explain more precisely what doesn't work as expected? Is this a 
> problem you only see when running with multiple MPI processes? 
> What is the "inner mesh" for you? Do you refer to faces with children? Can 
> you point out which vertices you think are set wrongly? 
>  
>
>> my code is as follows 
>>
> [...]
>>
>
> It seems that your idea is to first move vertices according to some 
> displacement function and then to "correct" hanging vertices to be placed 
> inside the neighboring face.
> That looks OK for standard orientation but might be problematic otherwise. 
> You should be able to achieve the same effect when you only apply hanging 
> node constraints to your
> displacement vector.
>
> Best,
> Daniel
>
>

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