Matthias Maier - Texas A&M University - College Station, Department of Mathematics In this talk we present analytical and computational approaches to simulate resonant effects of surface plasmon polaritons (SPPs) on 2D material interfaces and layered heterostructures. The computational approach is based on a homogenization theory for layered heterostructures and an adaptive finite-element simulation framework. We present some preliminary computational results that indicate that the homogenization error is well controlled even for finite-sized systems of few layers.