encounter vs meet with

encounter

verb
  • To meet (someone) or find (something), especially unexpectedly. 

  • To execute someone extrajudicially. 

  • To confront (someone or something) face to face. 

  • To engage in conflict, as with an enemy. 

noun
  • A sexual encounter; sexual activity, especially unplanned or unexpected, between people not in a sexual relationship, that usually does not lead to the establishment of a relationship, and may or may not happen again. A sexual encounter could be consensual or non-consensual; in the latter case, it is a sexual assault. A consensual sexual encounter that happens only once is commonly known as a one-night stand. 

  • A hostile, often violent meeting; a confrontation, skirmish, or clash, as between combatants. 

  • A meeting, especially one that is unplanned or unexpected. 

  • A match between two opposing sides. 

  • An extrajudicial killing or execution. 

meet with

verb
  • To have a meeting with (someone). 

  • To contact or touch (something). 

  • To strike (something). 

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

  • To encounter; to experience. 

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