You were right. I couldn't get the correct results without 
 Triangulation::add_periodicity(). 

So, it seems that I should compile deal.ii with MPI,P4EST,Trilinos to use 
that function(Triangulation::add_periodicity()) since my triangulation 
should be parallel distributed...

Right? 

Best, 
Jaekwang 
 

On Friday, November 9, 2018 at 7:46:02 PM UTC-6, Daniel Arndt wrote:
>
> Jaekwang,
>
> It seems that I don't need to add_periodicity to the triangulation unless 
>> it is parallel distributed triangulation? 
>>
> I would be heavily surprised if you get correct results without calling 
> Triangulation::add_periodicity() if you are using discontinuous elements 
> and a serial Triangulation.
> Otherwise, you are not providing any kind of information to these objects 
> that you want to treat specific boundaries as periodic ones. 
>  
>
>> By the way, when I 'add_periodicity', I have compiler error on the red 
>>> line of the code. 
>>>
>>> Can you give me a clue to resolve this error? 
>>>
>>>   //original argument
>>>
>>>         std::vector<dealii::GridTools::
>>>
>>>         PeriodicFacePair<typename DoFHandler<dim>::cell_iterator>> 
>>> pairs;
>>>
>>>     
>>>
>>>         GridTools::collect_periodic_faces(dof_handler,
>>>
>>>                                           /*b_id1*/ 6,
>>>
>>>                                           /*b_id2*/ 5,
>>>
>>>                                           /*direction*/ 0,
>>>
>>>                                           pairs);
>>>
>>>         
>>>
>>>         triangulation.add_periodicity(pairs);
>>>
>> You need to call GridTools::collect_periodic_faces with a parameter of 
> type 
>
> std::vector<dealii::GridTools::PeriodicFacePair<typename 
> Triangulation<dim>::cell_iterator>> pairs;
>
> if you want to use the resulting object for 
> Triangulation::add_periodicity().
>  
> Best,
> Daniel
>

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