@Article{JCM-41-263,
author = {Yang , WeiLiu , XinHe , Bin and Huang , Yunqing},
title = {The a Posteriori Error Estimator of SDG Method for Variable Coefficients Time-Harmonic Maxwell's Equations},
journal = {Journal of Computational Mathematics},
year = {2022},
volume = {41},
number = {2},
pages = {263--286},
abstract = {<p style="text-align: justify;">In this paper, we study the a posteriori error estimator of SDG method for variable coefficients time-harmonic Maxwell&#39;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&#39;s reliability and effectiveness are proved for variable coefficients time-harmonic Maxwell&#39;s equations. The efficiency and robustness of the proposed estimators is demonstrated by the numerical experiments.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2112-m2020-0330},
url = {http://global-sci.org/intro/article_detail/jcm/21180.html}
}