The Heterogeneous Multiscale Method for Dispersive Maxwell Systems
Philip Freese · Multiscale Modeling and Simulation · 2022
Abstract. In this work, we apply the finite element heterogeneous multiscale method to a class of dispersive first-order time-dependent Maxwell systems. For this purpose, we use an analytic homogenization result, which shows that the effective system contains additional dispersive effects. We provide a careful study of the (time-dependent) micro problems, including H 2 and micro error estimates. Eventually, we prove a semidiscrete error estimate for the method.