The doors of death are the only _popular_ pathway to Tartarus. Between both series, four entrances to Tartarus have been shown. One in the Underworld (main entrance), one in the Labyrinth (destroyed/sealed off), one underneath Rome, and one inside Epirus, the House of Hades (via the Doors of Death, which have now been removed). As you can see there are several pits or holes which lead to Tartarus. It is through these holes that the monsters come back.
Riordan Wikia also states
> The map of Tartarus shows a door leading to the mortal world, which is presumably used by monsters after reforming.
![A map of Tartarus](
Sources
* Riordan Wikia
* The Books