I was not sure if this space had a specific name but i now know that it is known as Barnardo Square but I do not know why.
Barnardo Square, in its current form, is less than fifteen years old. It was formed as part of the development of an adjacent office building, both of which were designed by the Spanish architecture firm MBM. Back in 2007 Paul Clerkin of Archiseek described the new office block as "Robocop on Dame Street" while Frank McDonald wrote in the Irish Times that, "It may even be the most detested new addition to the city." My own opinion is that it is at best bleak and unattractive.
At one corner of the Square is Palace Street the shortest street in Dublin.
According to the City Council "Barnardo Square may get a makeover to enliven the space with tables-and-chairs and trees on one side, which would free up the centre to be used as an events space from time to time."