dude, relax.
a dvi port is capable of carrying two types of signals, analog and digital.
if the dvi port only has analog signals present on the pins, it is termed dvi-a (and is effectively a vga port with a dvi pinout)
if the port only has digital signals, it is termed dvi-d (and has no analog present, nor can you plug it an dvi-->vga adapter as no vga signals exist on the port)
if the port carries BOTH analog and digital, it is termed dvi-i...yaya...the one-port-does-all-solution
In your scenario, the gfx card outputs digtal on the dvi connector, and runs it to the monitors dvi connector which can accept both analog OR digital. No need to panic, you are getting the best from it.