TY - JOUR T1 - The a Posteriori Error Estimator of SDG Method for Variable Coefficients Time-Harmonic Maxwell's Equations AU - Yang , Wei AU - Liu , Xin AU - He , Bin AU - Huang , Yunqing JO - Journal of Computational Mathematics VL - 2 SP - 263 EP - 286 PY - 2022 DA - 2022/11 SN - 41 DO - http://doi.org/10.4208/jcm.2112-m2020-0330 UR - https://global-sci.org/intro/article_detail/jcm/21180.html KW - Maxwell’s equations, A posteriori error estimation, Staggered discontinuous Galerkin. AB -

In this paper, we study the a posteriori error estimator of SDG method for variable coefficients time-harmonic Maxwell's equations. We propose two a posteriori error estimators, one is the recovery-type estimator, and the other is the residual-type estimator. We first propose the curl-recovery method for the staggered discontinuous Galerkin method (SDGM), and based on the super-convergence result of the postprocessed solution, an asymptotically exact error estimator is constructed. The residual-type a posteriori error estimator is also proposed, and it's reliability and effectiveness are proved for variable coefficients time-harmonic Maxwell's equations. The efficiency and robustness of the proposed estimators is demonstrated by the numerical experiments.