Yesterday I set 3 fence posts for a new section of fence I am installing on the back of the house. The entire area was draped in Ivy and monkey grass. We laid down heavy paper and then covered it with pine straw. The blue tarp is covering a a stump that is covered with Ivy.
Covering the ivy with paper and straw will cut off the light and eventually it will die. This is a permaculture principle and I do not have to use chemical poisons in the yard. The paper will break down eventually and contribute to the organic material of the dead ivy's leaves and roots.