The Heterogeneous Multiscale Method for dispersive Maxwell systems

10/04/2021

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by   Philip Freese, et al.

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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 errors estimates. Eventually, we prove a semi-discrete error estimate for the method.