The phrase "encountered while" is correct and can be used in written English.
For example: "I encountered many problems while trying to complete the task."
His workwas used to calibrate the small faults encountered while drilling near the large Corsair fault.
One of the many that we encountered while working on Footprints.
The issues encountered while establishing serial communication mostly involved improper time constraints.
Or the tangle of highways encountered while entering and exiting the place.
Tells about the difficulties Williams encountered while trying to find studio support for "Health Inspector".
Six spots feature women whom the company encountered while conducting consumer research describing fitness goals.
Lost circulation is the most common problem encountered while drilling oil wells.
Similar problem was encountered while firing from Thar desert region, where temperature is around 60 °C.
Algebraic equations are routinely encountered while modeling problems in various areas of engineering.
Individual foraminiferal specimens encountered while examining samples strewn across the picking tray can be picked and mounted for permanent reference.
It is believed that Churchill became fascinated by the spectacular butterflies he encountered while serving as an officer in India.
