Apple Inc., accusing Samsung Electronics Co. (005930) of flooding the market with “copycat products,” added the Galaxy S III smartphone to a list of products that it says infringe Apple patents.

Apple’s revised a complaint filed yesterday in federal court in San Jose, California, follows a $1.05 billion jury verdict against Samsung on Aug. 24. The jury, in a separate case in the same court, found that Samsung infringed six of seven Apple patents at stake in the trial. In that case, Apple seeks a U.S. sales ban on eight Samsung smartphone models and a tablet computer.

Apple, in yesterday’s filing, alleges Samsung continues to “flood the market with copycat products.” The maker of the iPhone has made similar allegations in the follow-on case before. In yesterday’s filing, Apple said Samsung has sold infringing products through August, including its “current flagship device, the Galaxy S III” smartphone.

U.S. District Judge Lucy Koh in San Jose ruled Aug. 28 that based on the Aug. 24 verdict, Apple’s request for a permanent ban on U.S. sales of eight Samsung mobile devices will be considered at a Dec. 6 hearing. The judge scheduled a hearing on Samsung’s request to lift a preliminary sales ban on the Galaxy Tab 10.1 Tab computer for Sept. 20, if she deems it necessary. Apple this week has contested the dates in court filings.