色散Maxwell系统的非均质多尺度方法

Multiscale Model. Simul. Pub Date : 2021-10-04 DOI:10.1137/21M1443960

P. Freese

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引用次数: 1

摘要

本文将有限元非均质多尺度方法应用于一类色散一阶时变麦克斯韦系统。为此，我们使用了解析均质化结果，该结果表明有效体系包含额外的色散效应。我们提供了(时间相关的)微观问题的仔细研究，包括$H^2$和微误差估计。最后，我们证明了该方法的半离散误差估计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Heterogeneous Multiscale Method for dispersive Maxwell systems

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.

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Multiscale Model. Simul.

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