A Multiscale Approach and a Hybrid FE-FDTD Algorithm for 3D Time-Dependent Maxwell's Equations in Composite Materials

This paper discusses the multiscale analysis of the initial-boundary value problem for three-dimensional (3D) time-dependent Maxwell's equations in composite materials. The new contributions in this paper are the determination of higher-order correctors and an explicit convergence rate for the approximate solution. Consequently, a multiscale hybrid finite element finite-difference time-domain (FE-FDTD) method is presented. The numerical results demonstrate that this multiscale method has potential applications in engineering electromagnetics.