In her surprisingly strong 8-percentage point victory over Senator Scott Brown, Democrat Elizabeth Warren rang up huge margins in urban enclaves and captured the majority of Obama voters, denying Brown the “ticket-splitters” he needed to survive, according to a Globe analysis of election results.

On Tuesday, Brown, who won the seat in January 2010 by beating heavily favored Democrat Martha Coakley, ­reclaimed most of the communities he carried in that first race, with the notable exception of Lowell.