In addition to trying your best not to allow your opponent to control edges and corners, trying to place in such a way that your opponent cannot play is a good tactic. This is effective during the mid- and late-game. This tactic is as much about luck in your opponent's placement as it is about your vision in being able to accomplish this.
Frequently, when you force them to miss a placement, there is another opportunity on your part to make them miss another, which can sometimes domino to 5 or 6 consecutive placements for you. This also gives you a large advantage since players continue to take turns if they can, so you will have placed more than your opponent over the course of the game.