Abstract
An Adaptive Edge Finite Element Method (AEFEM) for three-dimensional indefinite time-harmonic Maxwell equations with variable coefficients is proved to be convergent and arbitrary order Nédélec edge elements are considered. A posteriori upper bound, quasi-orthogonality and the contraction of the error estimator are provided to prove the contraction of the sum of the energy error and the scaled error estimator between two consecutive adaptive loops. Numerical experiments are presented to support the theoretical results.
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