This is someone who can make life quite miserable and difficult. Supervisors should be made aware of adult bullies, since they can disrupt productivity, create a hostile work environment (opening the company to the risk of a law suit) and reduce morale. It is important to note, though, that there is little you can do about an adult bully, other than ignore and try to avoid, after reporting the abuse to a supervisor. This is because adult bullies are often in a set pattern. They are not interested in working things out and they are not interested in compromise. Rather, adult bullies are more interested in power and domination. They want to feel as though they are important and preferred, and they accomplish this by bringing others down. There is very little you can do to change an adult bully, beyond working within the confines of laws and company regulations that are set up. The good news is that, if you can document the bullying, there are legal and civil remedies for harassment, abuse and other forms of bullying. But you have to be able to document the case.
Adult bullies were often either bullies as children or bullied as children. Understanding this about them may be able to help you cope with the behavior. But there is little you can do about it beyond doing your best to ignore the bully, report his or her behavior to the proper authorities, and document the instances of bullying so that you can take legal action down the road if necessary.