Chuyi,

> i was trying to use Dealii to solve a 3-dimensional elastic-plastic 
> question on a cubic by applying periodic boundary condition like in step-45 
> (v. 8.5.0). 
> std::vector<GridTools::PeriodicFacePair<typename DoFHandler<dim>::
> cell_iterator> > periodicity_vector;
> GridTools::collect_periodic_faces(dof_handler, 1, 2, 2, periodicity_vector
> );//1,2,2: the first two numbers refer to the cell faces at the boundary, 
> the third number to the direction 
> DoFTools::make_periodicity_constraints<DoFHandler<dim> >(
> periodicity_vector,constraint_matrix);
>
> But i got different results as i have created the mesh using 
> GridGenerator::subdivided_hyper_rectangle (triangulation, rep, p1, p2);//rep 
> is the repetition
> method 1 to get the mesh:
> p1 (0, 0, 0) 
> p2(1, 1, 1) 
> rep=(8, 8, 8)
> no global refinement
>
> method 2 to get the mesh:
> p1 (0, 0, 0) 
> p2(1, 1, 1) 
> rep=(1, 1, 1)
> global refinement = 3
>
> I just wonder why there come two different results when these two meshes 
> are actually the same.
>
How do the two solutions actually differ? How many constraints a created in 
either of these cases?
Can you provide us with a minimal example just setting up the periodic 
constraints in case they are different?

Best,
Daniel

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