The name Solveig is a girl's name of Scandinavian origin meaning "the strong house or daughter of the sun". Solveig and is often added to lists like Unique Girl Names: Unusual and Rare and discussed in our forums with posts like "Which would you choose?".
From the experts:
Common in Scandinavia, this name has rarely come to our shores. The name of the heroine in Ibsen's Peer Gynt, Solveig is currently a widely-used name in Norway. Pronounced authentically, with a silent 'g', it becomes much more appealing.