Poynting vector

I've been thinking about the Poynting vector and how to reconcile it with logic. In the original paper Poynting demonstrated how for a resistor with a DC current the Poynting vector points inward. This indicates that the power is directed into the resistor. The E field points in the direction of the current. The H field circles around the resistor. The cross product is inward. Is the Poynting vector just an analog to P=I*V ? The H field is related to the current, the E field to the Potential drop. So, since I * V makes good logical sense (V is how much energy is given up by each unit of charge and I is the amount of charge per second so it makes total sense) then S=E X H is just a result of I*V, right???