Verbal Abuse?

Is this verbal abuse? Should I still continue to stay in this relationship?
My boyfriend constantly criticizes me in every action and opinion I say/do. He also tells me to shut-up on a regular basis even when I’m answering one of his questions. When we argue (happens often, about 3 to 4 times a week), he insults me, cusses me out, puts me down, yells at me.. and he doesn’t care who’s listening. Once when I started to cry, he began to yell at me louder, called me names like a baby and started hitting the stirring wheel in anger. He has punched a hole on the door in my house. He tries to control my life.. is seems like I have to walk on eggshells trying not to upset him. Sometimes the smallest things can trigger his outbursts of insults. I just try to keep quiet sometimes.. but when I’m quiet, he gets mad.. and when I talk, he criticizes me for what I say.
We’ve been in a relationship for a little over 2 years.. and we live together.