We have Howard to thank for that victory. Superb save from Benteke's penalty and in the two 1-on-1 chances that Villa had inside the first half hour.
The players got lucky at other times too, but they weathered Villa's attacks well for the most part, and then pressed on for the win once they started to tire around the 70 minute mark. Great substitution by Martinez again, and Osman proving that a load of people on here and twitter spout absolute nonsense most of the time about him. Great intricate play between the triumvirate of him, Pienaar and Baines for Lukaku's goal, and then showing his experience by sidefooting home for his own goal.
Providing the squad continue to adapt to Martinez's approach to matches, and in matches, then we'll be well served for the vast majority of this campaign.