Earlier quoted context omitted.
Could they not offload a lot of compute to ground based computers and submit results back via radio? Or are these real-time applications?
I was thinking, instead of that, what if you had a separate isolated tiny computer on spacecraft, that was powered by its solar panels (so there's no electrical wiring, or other connection to it), and have its own radio. And this separate computer could use the latest bleeding-edge CPU, and be encased in a radiation-hardened shell. It would use its radio to talk to the slower main computer, and do math really fast lo…
So practically it would still experience significant radiation.
But having the main compute for Mars remain in orbit with the relay isn't a bad idea.