With the help of the distance-duality relation(DDR), the light-curve fitting parameters,which in the distance estimation from the original Union2.1 SNe Ia compilation, were calibrated, the distance modulus for the SNe Ia with the corrected fitting parameters were re-estimated, and using the cosmological-model-independent reconstruction, for the cosmic expansion history and the evolving property of dark energy were reconstructed. The result shows that the reconstructed results are inconsistent with the ΛCDM model at 1σ confidence level (CL), and it seem to support an evolutionary dark energy with redshift evolution.