Sometimes i have the S11 in the driven terminal solution greater than 0dB. I make modification to my antenna and S11 reduces. It becomes -3 or -4 dB. Are the later results correct given that i got a more than 0 dB results one of the times? If i made the hardware and the measurement for the later case, would i get close results to the simulations?
If your system is passive and linear there is no physical reason for S11 to be larger than 1. Your simulation is most likely not sufficiently converged.
If you see this in measurement, your calibration is incorrect or you need a new analyzer.