Wife wants separation, i do not

My wife and I have four children together and she would like a separation/divorce. What steps would she need to take if I just refused to leave the home? We began going to a mediator but if I also stopped going there would she be forced to serve me papers? At that point if neither one wants to leave the marital home what happens?

If neither party wants to leave the marital home, but she wishes to separate, she may sue you for divorce from bed and board or make file a complaint for Interim Distribution. She can be awarded possession of the house under either of those actions.