Probably from 'adab (in the sense of chastisement) and 'el; disciplined of God; Adbeel, a son of Ishmael -- Adbeel.
see HEBREW 'adab
see HEBREW 'el
H110. Adbeel
אַדְבְּאֵל proper name, masculine 3rd son of Ishmael (compare Arabic invite, discipline ?) Genesis 25:13; 1 Chronicles 11:29 (Assyrian Idiba'il etc., name of north. Arabic tribe DlPa 301; compare Minean אדבל DHM in MV).
אדד (? compare Arabic strength).