Jaekwang,

DataOut creates data at each corner of each cell. However, DataOutFilter[1] 
allows to reduce the number of data to just one value for each vertex.
Answering your question: DataPostprocessor doesn't choose a value but the 
output includes all of them.

Best,
Daniel

[1] 
https://www.dealii.org/8.5.0/doxygen/deal.II/classDataOutBase_1_1DataOutFilter.html#aac0c8391641850d7df17352f607123ae

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