Hello Jinhyun

This is not an error. Since you have discontinuous solution, at a face in 2d 
you have two different values and at a vertex in 2d you may have 4 different 
values. When deal.II saves solution files for visualization, it does not do any 
averaging etc. at face/vertex, hence you will get these different values. In 
fact solution saved by sampling points cell-by-cell, and points on face/vertex 
can be repeated in the output file which have same coordinates but different 
solution value (in case of DG only) because they were evaluated on different 
cells. I think this gives a true representation of DG solution.

Also see

https://github.com/dealii/dealii/wiki/Frequently-Asked-Questions#the-graphical-output-files-dont-make-sense-to-me----they-seem-to-have-too-many-degrees-of-freedom
 
<https://github.com/dealii/dealii/wiki/Frequently-Asked-Questions#the-graphical-output-files-dont-make-sense-to-me----they-seem-to-have-too-many-degrees-of-freedom>

Best
praveen

> On 02-Feb-2019, at 1:06 PM, Jinhyun Choo <jinhyun.c...@gmail.com> wrote:
> 
> Hello,
> 
> While solving a simple problem using FE_Q_DG0 elements, I found that the 
> output data vector (created by DataOut.add_data_vector) has non-unique values 
> for the same point. Attached is an example .pvd file. Here, there are two 
> points of same coordinates (0.1,0.95,0), and the pressure values of the two 
> points are different.
> 
> I solved the same problem with FE_Q elements. Then the output file also 
> contains two points of same coordinates (I don't know why), but their 
> solution values are identical.
> 
> Could somebody explain why there are two points of same coordinates and why 
> their solution vales are different only in FE_Q_DG0 elements?
> 
> Many thanks,
> Jinhyun

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