Source: Kate and Jon Gosselin Finished Fighting Over the Kids

The weekend mediation hearing "essentially ended their marriage," the source close to Kate tells PEOPLE

Photo: Brian Prahl/Splash News Online

With lingering anger and bitterness, the marriage of Jon and Kate Gosselin is all but dissolved after Saturday’s all-day mediation hearing in Pennsylvania, a source close to Kate tells PEOPLE.

“This was the proceeding that essentially ended their marriage,” says the source.”Kate is just relieved that a very painful chapter of her life is nearly over, and she is looking forward to building a better, brighter future for herself and her kids.”

During the hearing, Jon “didn’t dispute Kate having primary custody of the kids,” says the source, which came as no surprise to Kate.

“In what should have been their most serious moment as a couple,” says the source, “Jon again resorted to a publicity stunt.”

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