Oh, wow. What a coincidence!! I've got the same monitor and I play my PS3 on it. It's a great monitor and the PS3 looks great playing through it.
You need an HDMI -> DVI cable to make it work. I've tried an HDMI -> VGA cable, but the quality is terrible.
Anyways, have fun gaming on the PS3! Oh, and make sure you check out Metal Gear Solid 4... it's a little up in years by now, but it's still one of the best games out there!