  We study effects of strong impurities on the heat transfer in a coupled
electron-phonon system in disordered graphene. A detailed analysis of the
electron-phonon heat exchange assisted by such an impurity through the
'resonant supercollision' mechanism is presented. We further explore the local
modification of heat transfer in a weakly disordered graphene due to a resonant
scatterer and determine spatial profiles of the phonon and electron temperature
around the scatterer under electrical driving. Our results are consistent with
recent experimental findings on imaging resonant dissipation from individual
atomic defects.
