face up to vs submit

face up to

verb
  • To confront a condition or situation, typically one that is unpleasant or uncomfortable. 

submit

verb
  • To subject; to put through a process. 

  • To yield (something) to another, as when defeated. 

  • To win a fight against (an opponent) by submission. 

  • To enter or put forward for approval, consideration, marking etc. 

  • To yield or give way to another. 

How often have the words face up to and submit occurred in a corpus of books? (source: Google Ngram Viewer )