Should the search box always be placed in the upper right corner?

I placed the search box close to the results, so the user knows he is searching within the results and not globally. Is this a good approach?

Answer

If the search box is related to the items list at the right side of the page, it's great to leave it there. Because it really looks like a filter feature.

But if the search box take the user to another page with different results (that weren't in the first list), it shouldn't be there, 'cause in this case it wouldn't be a filter.