Named after Erhard Weigel - German mathematician (1625-1699).
Weigel is a small lunar crater that is located in the southwestern part. It lies to the west-southwest of the slightly larger crater Rost, and due south of the elongated Schiller. To the west is Segner. The rim of this crater is slightly eroded, with a small crater across the northern edge and the satellite crater Weigel A and another smaller craterlet intruding slightly into the eastern face. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.