without looking at any regs in front of me, i would have to say that you would not stay at FL410 over the initial. most likely you would be assigned some type of arrival with crossing restrictions and speed restrictions. so i would think that you would plan your descents according to that. then plan on arriving at the minimum intercept altitude on the initial approach fix using a 3.0 descent ratio. also if you lost your coms early in the flight you would want to plan to arrive at your clearance limit as close to your eta as possible by adjusting cruise speed. but i know that may not always be possible giving winds/fuel burn.

so this is just a WAG (wild ass guess) on my part. thankfully we have 3 radios on my jet!