It all depends how long you're there for.
Anecdotally, many travellers will tell you it can take one day per hour difference - ie 10 days for 10 zones, to 'catch up'. In reality, it's different for each person, and when the flight is. In addition, it's generally harder flying east than flying west.
I recommend reading "How can I avoid or minimize jet lag" to help with that aspect at least.
If you're going for more than a week, I'd say use the new timezone - that is, sleep at night. The natural body's reaction to the sunlight in the morning is DEFINITELY going to be hard on you if you're trying to sleep during the day, but on the other hand, you may be not too bad with the jetlag.
Make sure to stay up the first day as late as you can, no matter what, until the sun has gone down at the very least. I've changed big zones many times (London to NZ), and this is the best rule. You'll be tired, but you'll get a good first night's sleep this way.
On the other hand, if you're only there for 2-5 days, you could consider keeping your zone, and hours, but any longer and use the new daylight. Above all else, listen to your body - if it's tired, you need sleep.