How do fighter pilots find their way to their airfields after patrolling?

Pilots use many methods for navigation. Sometimes looking for familiar points is easiest. Other times a map and stopwatch are used. GPS is common today, as well. Many airports also have radio direction-finding beacons to use.

most pilots are using GPS nowadays..

At the moment, created a variety of different aircraft: airplanes, balloons, gliders, airplanes, etc. But the condition for the flight of any aircraft is common - they must overcome the force of gravity, i.e. during the flight to create a lifting force exceeding the force  Earth's attraction.  For this it is necessary to study geography and mathematics.  very helpful article from this source -pro-papers.com

It is necessary to have both subject knowledge.

They use communications and the magnetic compass.

I think so. We've to be at high level at both knowledge to become a best military pilot.