Abstract
<p style='text-indent:20px;'>In this paper, we study an adaptive edge finite element method for time-harmonic Maxwell's equations in metamaterials. <i>A-posteriori</i> error estimators based on the recovery type and residual type are proposed, respectively. Based on our <i>a-posteriori</i> error estimators, the adaptive edge finite element method is designed and applied to simulate the backward wave propagation, electromagnetic splitter, rotator, concentrator and cloak devices. Numerical examples are presented to illustrate the reliability and efficiency of the proposed <i>a-posteriori</i> error estimations for the adaptive method.</p>
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