Through the day in this neighborhood of Grozny, dozens of minibuses, some bearing the emblem of the local Gazprom affiliate, ChechenRegionGaz, shuttled voters to, from and — significantly — between polling stations.

It was hardly concealed. Asked what she was doing entering more than one polling station, one woman replied without hesitation, “We’re voting.”

Marieta N. Beshirova, a nurse, bundled in a felt coat against a frigid mist drifting down from the Caucasus Mountains, piled out of an ambulance at one polling station with other hospital employees. “If our Ramzan needs us to vote, we will vote,” she said, referring to the region’s leader, Ramzan A. Kadyrov. “And we will do it wholeheartedly,” she added, without any enthusiasm.

One woman, traveling with the group of hospital workers, stepped away from the crowd on the stoop of a school and said she had been compelled to vote: “I hate him, but, speaking honestly, we were forced to come here.”

The region’s top electoral official, Ismail B. Baikhanov, denied in an interview that illegal methods had been used, citing as proof the absence of court filings after the December vote, when turnout was 99.5 percent and the ruling party, United Russia, received 99.4 percent support. “We understand better than others the consequences of lawlessness,” he said.

Deyeshi Dautmerzayeva, 55, offered a view of the muted and fearful form of expression that is typical of election discussions here. She blames the Russian security services for the disappearance of her son during the violence here, but she said she would still vote for Mr. Putin.