It cant be done obviously or they would have figured out a way by now.
One way would be to have a"loose" car, a tail happy car. That would get heat in the tires by scrubbing against the surface but at the same time destroy them quickly too.
My explanation of why they have failed to solve this problem is some what different to others. If you look at the established greats of this sport they all had a few things in common. 1. That "X" factor. That something a little extra that others don`t possess. 2. An almost never ending hunger to win and compete at the highest level. 3. Work ethic, dedication to their chosen field. 4. A history, and almost always a successful history of competing in the junior formulae and karting.
Taking the last bit first, i feel it makes a driver complete. That experience of racing with the same machinery and then having to make small adjustments to beat your rivals in identical karts/cars is something that comes with experience. Sadly, Raikkonen has very very little experience at the junior level. If my memory serves me right, he competed in a total of two open wheel races before he was picked by Peter Sauber. Thus his inability to work with the team and help them overcome this problem.
Can you see any of the established greats, Senna, Prost, Schumacher, Stewart struggling with a problem like this for an entire season, a season where they were fighting for the world title? I think not.