Charlie Sheen & Brooke Mueller Get Married

05/30/2008 at 10:50 PM EDT

Charlie Sheen & Brooke Mueller Get Married
Brooke Mueller and Charlie Sheen
Jon Kopaloff/FilmMagic
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.

The newlyweds are expected to attend the Chrysalis Butterfly Ball in Los Angeles on Saturday, an event where they made their first public appearance as a couple two years ago.

In lieu of wedding gifts, the newlyweds have asked guests to donate to the Chrysalis: Changing Lives Through Jobs charity and to Pugs 'N Pals, a dog rescue charity.

As for their future, Sheen and Mueller are eager to start a family, according to an insider. "Brooke is hoping to get pregnant very soon," says the friend.

Sheen is dad to three daughters already: Sam, 4, and Lola, 2, with ex-wife Denise Richards, and Cassandra, 23, with ex-girlfriend Paula Profitt.

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