Gissur Steinarsson
Google
Such a beautiful place, what a scenery!
The hut is nice and cozy, they have a decent sized common room with all you need to prepare a breakfast in the morning, as well as a barbecue outside (if you have something to grill of course).
Fun fact about the lake; you can walk much much MUCH farther than you think in it before it gets deep. Try it out the next time you go there!