Frooty, your situation does sound miserable.
It sounds as though he doesnt want to accept that you want a divorce, and you seem convinced that you dont have the option to just up and leave.
I can sympathise with this, because I am still financially entangled with violent, controlling, vengeful dx, and if I split now, Id lose too much money that I need to buy our new house (children and me), also dx would be furious and get revenge somehow.
What exactly are you scared of your dx doing? Would he take the children to India by force if you don't do what he says?
I think I would probably make the DV public anyway, as it will probably have more impact on people's opinions than you think. I bet loads of people suspect it anyway, but they think you are happy with it (!) because you haven't said anything.
I would be worried about living with a violent partner who doesn't want a divorce, because I think this sounds like a dangerous situation for you. (I stayed with dx, but he was the one seeking divorce, not me, so he was basically happy with the way things were going).
The best solution for the question that you asked, would be to make the divorce public, and separate. If you stop socialising with him, the truth will leak out anyway, and as you said, if you're still living there, he could make life v difficult for you.
Whose name is the house in? If yours, then can you throw him out and change the locks? Could your solicitor advise about the feasibility of this? How scared is your dh of the police/law?
hope some of this helps. There are more people with relevant experience of splitting from violent, controlling partners on MN, who will hopefully be along later.