Last winter my 2003 A4 had a lot of problems with the doors freezing shut. It was easy to see what the problem was: the doors all have double weather stripping, and water was collecting between the two strips and freezing there. This was a problem with all 4 doors. It's still doing it -- I open the door after a hard rain and water dribbles out onto the driveway.

Has anyone else experienced anything like this? I dithered all year long, but I'd like to get this fixed before it gets cold again, if I can.