honestly I'm not sure of the name of it. It looks similar to your favia but I know it's a brain. I"ll have to see if I can look up brain coral on google images and see if I can find it. Honestly I would like yours better know that I've seen how beautiful it is but I'll have to get a pic of the other one.
Heres a pic
http://www.lifeintheseas.com/images/braincoral1.jpg