> Boeing solved the problem by using rounded windows, and riveting on a forged doubler around the window frame.
Boeing was by no means the first to use radiused windows in pressurised airliners; the Avro Tudor was doing so in 1946 and there may well have been earlier examples.
Conversely the Boeing Stratoliner was flying with square windows in the early 1940s and didn't suffer fatigue failures, nor did the later DC-6. Corner stresses were understood at the time.
What really undid the Comet was that the fuselage skin gauge was insufficient to accommodate the increased rate of change of pressure differential that was introduced with jet flight. Whereas the preceding piston-engined airliners were lucky to hit 1000 feet per minute climbing to 20,000 ft, the Comet climbed at three times that rate to 35,000 ft +.
The Comet had skin reinforced to 20 swg along the window belt, whereas the succeeding Comet IV had 18 swg with 16 swg framing.