I have looked at this question regarding the use of induction cooktops on shabbat. The problem seems to be one of החזרה (returning to the fire) -- understandable, since one cannot take a pot off the burner without breaking the connection.
One workaround is to set the burner to go off before the meal begins. But I'd like to suggest another: I've found that if you put a blech (made of the kind of metal that works with induction cooktops) on the burner and under the pot, taking off the pot does NOT break the connection, or cause any change in the display. Is there any reason that would not work?