meet with vs undergo

meet with

verb
  • To encounter; to experience. 

  • To contact or touch (something). 

  • To have a meeting with (someone). 

  • To strike (something). 

  • To answer (something) with; to respond to (something) with. 

undergo

verb
  • To experience; to pass through a phase. 

  • The project is undergoing great changes. 

  • To suffer or endure; bear with. 

How often have the words meet with and undergo occurred in a corpus of books? (source: Google Ngram Viewer )