Jennifer Lawrence and Chris Martin Enjoy Candlelit Dinner Date
01/18/2015 AT 02:50 PM EST
The couple, who began dating in August, stepped out for a low-key dinner at Madeo in Los Angeles on Thursday.
After arriving together through the restaurant's back door to avoid attracting attention, the Hunger Games star, 24, and Coldplay front man, 37, sat at a candlelit table for almost two hours, ordering several dishes and splitting a dessert.
"They looked happy and just focused on each other," an onlooker tells PEOPLE. "They were smiling, talking and very friendly."
While neither of the A-listers have addressed the romance publicly, it seems like they're on the same page.
"Even though they are both busy, the relationship is solid," a source tells PEOPLE. "They see each other when they can."
"Jennifer understands that the children come first with Chris and his relationship with Gwyneth is based around the family and it will always be a part of his life," the insider continues. "Things are good between them."
Reporting by PERNILLA CEDENHEIM