Charlie Sheen & Brooke Mueller Marry

Charlie Sheen married real estate investor Brooke Mueller at a private estate in Los Angeles on Friday, PEOPLE has confirmed. "They're well matched and incredibly happy," says a friend of the couple.

Mueller, 30, and Sheen, 42, exchanged vows in front of about 60 close friends and family. The bride wore a Reem Acra gown. Among the guests were Grey's Anatomy star Eric Dane and actress Rebecca Gayheart, who first introduced the couple in 2006.

"Brooke really wanted to walk down the aisle in a big way, but Charlie insisted they keep it simple and small," says a source. The Two and a Half Men star proposed to Mueller in Costa Rica last June, presenting her with a $500,000 custom-designed 11-carat yellow diamond and platinum ring from jeweler Lord Alon Barak.