Superconvergence Analysis for Metamaterials

In this chapter, we first give a quick review of superconvergence analysis in Sect. 5.1. Then we carry out the superclose analysis for 3-D metamaterial Maxwell’s equations represented by the Drude model. The analysis for a semi-discrete scheme is presented in Sect. 5.2, which is followed by the analysis for two fully-discrete schemes in Sect. 5.3. In Sect. 5.4, a superconvergence result in the discrete l 2 norm is proved. Finally, the superconvergence analysis is extended to the 2-D case in Sect. 5.5.