In the oven.
I use a Le Crueset most of the time and find that it's easier to braise in the oven as I don't have to run back and forth adjusting the burner to get the simmer just right.
Also, the oven provides an even all-around heat to the entire pot, not just to the bottom.
"If you want to make an apple pie from scratch, you must first create the universe." -Carl Sagan