SAN DIEGO — In November, when Bob Filner became the first Democrat in two decades to be elected mayor here, he celebrated with his fiancée at his side in Old Trolley Barn Park, where he thanked hundreds of supporters who had showed up.

But after a week in which seven women publicly accused him of sexual harassment, it was all but impossible to find any Filner supporters in Old Trolley Barn Park. And Democrats and Republicans have been — at least temporarily — united on an issue: their insistence that the mayor resign.

Rather than mollifying his critics, the mayor’s announcement on Friday that he would take two weeks away from City Hall to seek what he described as intensive behavior therapy has only further angered many residents, who complained that he was dragging the city through the mud in hopes of salvaging his own career.

“I’m bummed. I voted for him,” said Mona Mukherjea-Gehrig, 46. “Can you change in two weeks? That’s a joke. What are you going to do in two weeks?”