# KAUST-IAMCS Workshop on Modeling and Simulation of Wave Propagation and Applications

## Eric Chung, Chinese University of Hong Kong (China) Staggered Discontinuous Galerkin Method for Wave Transmission Between Dielectric and Meta-Materials

### Abstract

Some electromagnetic materials exhibit, in a given frequency range, effective dielectric permittivity and/or magnetic permeability which are negative. In the literature, they are called negative index materials, left-handed materials, or meta-materials. We propose a staggered discontinuous Galerkin method to solve a wave transmission between a classical dielectric material and a meta-material. Convergence of the numerical method is proven, with the help of explicit $$\text{inf}$$-$$\text{sup}$$ operators, and numerical examples are provided to show the efficiency of the method.