The name Alcina is a girl's name of Greek origin meaning "strong-willed". Alcina and is often added to lists like Names That Mean Strong, Brave or Powerful and discussed in our forums with posts like "Quick Question Thread?!".
From the experts:
Alcina is an operatic name, best-known as the name of the beautiful sorceress of the eponymous Handel opera drawn from the Orlando poems. Alcina and her sister Morgana live on an island where Alcina seduces every passing sailor but once their novelty wears off, changes them into plants, rocks, or animals. Alcina comes with modern-sounding short forms Alcie or Alsie, which feel more baby-ready now that names such as Elsie, Elsa, and Isla are becoming popular again.