Shading artifacts / Tricky modelling situation I hope someone can help me out with this.  

I'm modelling a moka pot, similar to this one:



This is what my mesh looks like in the snout area:







As shown in Fig. 3, I marked the planes around the front of the snout as smooth, to get a nice rounded edge. However, in rendered view I get weird artifacts, such as can be seen here:





Does anyone know why I'm getting these weird results? Nothing I do seems to help.

Here's the .blend file:

coffee.blend
You should simplify your topology. Something simple is more controlable.