You need to come at this from a child-focused perspective. Have you set out what you think the best arrangement would be for your children in a parenting plan? IF not, this would be a good start - don't forget to include school holidays, Bank holidays, inset days, Mothers/Fathers Day, birthdays, Christmas/Easter/Eid/Passover/other significant occasions and celebrations; and especially definitive times as to when a weekend or time with you starts/ends. Having something comprehensive written down will give you both something to work from, and hopefully identify common ground (with the help of the mediator).
If she refuses to consider your proposal in
mediation, then you have two options - go to court, where neither of you will get the outcome you desire, or accept what is being suggested by her, then look to build on that by increasing time with you after a shortish period of time.