Superconvergence Analysis and PPR Recovery of Arbitrary Order Edge Elements for Maxwell’s Equations

In this article, we propose a practical scheme for constructing global superconvergent approximations for Maxwell’s equations in both two and three dimensions. Superconvergence of order $$O(h^{p+1})$$O(hp+1) is established in a discrete norm. This superconvergence result, combined with the polynomial-preserving recovery postprocessing technique, leads to global superconvergence of order $$O(h^{p+1})$$O(hp+1) for recovered quantities in energy norms. Numerical experiments are provided to confirm our theoretical findings.

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