He m ay still be publicly bickering with his ex-wife, Denise Richards, but that didn't stop Charlie Sheen from getting hitched once again. The "Two and a Half Men" star has reportedly tied the knot with girlfriend Brooke Mueller in Los Angeles, People magazine stated on their website. "They're well matched and incredibly happy," a friend of the couple told the mag. The couple had been engaged since June of last year, after Sheen proposed to her in Costa Rica. They had been dating for about a year previous. "She's just easy, and loving, and smart, and if everybody was just as happy to see me when I walk through a door as her, my life would be perfect," Sheen, 42, said of Mueller, 30, soon after the couple got engaged. Instead of gifts, People says, the couple requested that guests donate to the Chrysalis: Changing Lives Through Jobs charity and to Pugs 'N Pals, a dog rescue charity. This will mark the third trip down the matrimonial aisle for Sheen. He was briefly married to model Donna Peele in 1995, and of course, was betrothed to Richards for four years. That marriage ended in 2006, but produced two children: Sam, 4, and Lola, 2. Sheen has one other daughter, 23-year-old Cassandra, with ex-girlfriend Paula Profitt. - NEW YORK DAILY NEWS