The Heterogeneous Multiscale Method for Dispersive Maxwell Systems

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 (timedependent) micro problems, including H 2 and micro errors estimates. Eventually, we prove a semi-discrete error estimate for the method.