There are multiple origins and meanings for the name Elina:
1. Ancient Greek name (Ἕλληνα) [Ellina], derived from the Greek word (ελληνικά) [ellinka] "Greek girl", see the name Ellina
2. Scandinavian (Danish, Swedish and Norwegian) form of the Greek given name Elen meaning "sunny"
3. Hebrew given name (אלינה) meaning "life given by God (El)"
4. Soviet name, etymology - "ELectrification + INdustrialization"