Abstract
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.
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