Developing and analyzing a finite element method for simulating wave propagation in graphene-based absorber

Abstract

In this paper, we are concerned about a graphene-based absorber model, which incorporates both the interband conductivity and intraband conductivity of the graphene. We first establish an energy identity and stability for the continuous model. Then we propose a finite element time-domain method for solving the model by edge elements. Numerical stability and optimal error estimate are proved for the scheme. Numerical results are presented to justify the error estimate and demonstrate the wave absorbing phenomenon by graphene slab.