Hi,
I was – and unfortunately despite moving out still am – in a similar situation, stuck in an emotionally abusive relationship, but he agreed to sell the joint property. I was able to file for divorce while living under the same roof, the mediator didn’t mention what we should/shouldn’t be doing together – but it was such an awful situation I would cowar in my childs room for the evening when my husband got in from work – we hadn’t been doing any of the things Anonymous mentions (shopping together/watching tv, there was an odd rare occasion where we would attend child activities but very rare), I felt too scared to be in the same room.
You have to attend mediation before divorce, but if he is unwilling to attend you can attend alone and have it noted by the mediator (that he was unwilling to attend), good luck