All airports in Iceland are open, despite the eruption in Dyngjujökull, a glacier near Bárðarbunga. A 140 by 100 nautical miles no fly-zone is in effect over Dyngjujökull, but at this point the eruption has no effect on flights.
The eruption is currently a sub-glacial eruption, so it is not visable, but has been detected by the Icelandic Met Office.