They would have identified themselves as Danes, Svear, Goths, Norwegians, etc. There never really was a single “Viking” culture; only a loose assortment of people with shared ideas, economies, religious beliefs, and a common Germanic language known today as Old Norse.
Greenland: The Dorset and Thule Inuit cultures, known to the Norse as Skraelings.
With the rise of the Hanseatic league in far western Europe the hegemony of VIking shipmen fell quickly. British, Dutch and other sailing peoples created better, faster vessels and Viking resupply of their Greenland colonies stopped until new settlements in Greenland began by Denmark in the 18th century. The isolated Greenland colonies may have been visited solely by European pirates stopping to plunder, perhaps a plague ship or two, Inuit raiders and traders and even avarice for new, richer grounds farther west.
East Bygd’s farmlands were infertile and centuries of over-use-crops were likely to fail and the world had a little ice age that changed the thermostat toward the cold mark perhaps reducing the growing season.
Germany’s Hanseatic League:
The German Order was a military monk order in the heathen Vedic territories of the south eastern Baltic called Pressia (before that time it was not German). It was a merge of the Templars Order and the Johanittic Order as a result of King Barbarossa’s crusade to the holy land in 1190. The merge of the heathen Vendic mentality and that of the German Order later became Preussia. The German Order grew to dominate 300.000 square km of land, 55 cities and 48 castles (like the surface of Norway today but far denser populated) with Marienburg as the capital. The capital was later transferred to Lbeck as the capital of the Hanseatic League, or the German Guild as the called themselves – as merchants’ protection against pirates, robbbers and the plunder prone German nobility.