In this sentence:

• The subject, or the main actor in this sentence, is Scholengemeenschap Het Assink in Neede.
• The object, or the recipient of the action, is de namen van pesters.
• The predicate is gaat bekendmaken, it describes wat the secondary school is going to do with the names of bullies.
• Additional information about the state-of-affairs is provided by op een bord in de hal. It is an adjunct.

But that is not all:

• The prepositional phrase in Neede also provides additional information: about Scholengemeenschap Het Assink. It is an adjunct to the subject. Just as op een bord in de hal is part of the sentence, in Neede is part of the subject.
• In the same way, the prepositional phrase in de hal is an adjunct to een bord. And it is part of the adjunct op een bord in de hal, just as in Neede is part of the subject.