WordNet (r) 3.0 (2006):

stare down
    v 1: overcome or cause to waver or submit by (or as if by)
         staring; "He simply stared down his opponent" [syn: stare
         down, outstare, outface]

Moby Thesaurus II by Grady Ward, 1.0:

46 Moby Thesaurus words for "stare down":
   affront, beard, bid defiance, brave, brazen out, call out,
   challenge, confront, crane, crane the neck, dare, defy,
   double-dare, eye, face, face down, face out, front, gape, gaup,
   gawk, gaze, gaze open-mouthed, glare, gloat, goggle, look, master,
   ogle, outbrave, outbrazen, outdare, outface, outlook, outstare,
   overcome, overwhelm, quell, scream defiance, show fight,
   stand on tiptoe, stare, stare at, stare hard, subdue, suppress