Goals from Lewis Grabban and Marc Pugh, either side of Lowe's red card for a wild lunge on Tommy Elphick, plus Harry Arter's late stunner, handed the Cherries their third straight win.
Dons boss Karl Robinson admitted Lowe will be disciplined for his "idiotic" contribution and Howe said: "I thought it was a disgusting challenge - really, really poor.
"Tommy has had injury problems in his career and I hope and pray he's not badly hurt. To do that to a fellow professional I think is really poor.
"He walked off the pitch but sometimes that can be deceiving - I did the same at Portsmouth and I wasn't seen again for two years.
"We'll have to assess the damage and see what injury he's got and whether the knee is stable.
"My players did very well to keep their cool and keep their discipline and not turn it into a fight because no-one wanted to see that."
Howe added: "It was a good performance. I'm really pleased we got the early goal, I think that made a big difference to us and settled us down.
"To come here and win 3-0 is really pleasing. I'm very impressed with the players and how they responded and adapted to the different challenges in front of them."