Russell Brand and Katy Perry in 2010
02/08/2012 at 06:55 PM EST
Apparently, there won't be any fireworks in this divorce.
and Russell Brand have reached a "comprehensive written settlement of all issues," according to a filing Tuesday in Los Angeles Superior Court.
Perry even signed the papers with her usual happy autograph – with a smiley face in her last name.
With no children at issue, the agreement covers distribution of their property, Perry's papers say, and she asks that the court not be involved in awarding spousal support to Brand.
Perry, 27, also seeks to legally restore her maiden name to Katheryn Elizabeth Hudson.
In his own court filing, Brand, 36, also signals that they've reached a settlement, checking the boxes that say both sides "agree this cause may be decided as an uncontested matter" and they waive their rights to a trial.
Brand, who married Perry
in October 2010 and filed for divorce
this past December, is not asking for cash
from his higher-earning wife, a source tells PEOPLE.
The source says that the couple did not sign a prenuptial agreement. Brand legally would have been entitled to half her money earned during their marriage.