Ooops how rude of me, I didn't say Hi!

I definitely get a huge damage bonus when I wear shield compared to when I have only the 1h weapon in hand. From what I've looked into, I think it basically considers the shield as a second weapon and therefore doubles my +magic damage bonus (I have +35 magic damage from various enchantments, modified by intelligence that would explain the roughly 40 points of difference in magic damage.

But that does not seem to be the way it should work from the sword and shield description. So I suppose this is a bug.