I'm not quite in the same situation as you, but almost! Two days ago I had three fillings also, all in the same area (top right) and my dentist gave me 2 shots of novacane too.. and it felt like it was in there forevvvvvvvver. If you see I made a post in here too (haha) titled: question about filling, because as soon as the novacane wore off I was in SO MUCH PAIN. The replies in my post should help you also
I don't know about the week yet because for me it's just day two, but I can definitly still feel exactly where the needles went in lol. It's really sore there and my entire right side of my mouth is still sensitive. I'm hoping it gets better though...
But I'm guessing he gave you 2 shots because it was 3 teeth? My dentist also gave me 2 shots because I had three cavities to fill. I was surprised at first too, I was like AGAIN with the shot?? haha... I hope that you feel better soon! and check out my replies