标题：l2superconvergence analysis of nonconforming element approximation for 3D time-harmonic Maxwell's equations
作者：Wang, Peizhen ;Sun, Ming ;Yao, Changhui
作者机构：[Wang, Peizhen ] School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou; Henan; 450046, China;[ 更多
来源：Applied Numerical Mathematics
摘要：In this paper, the superconvergent property is found for the interpolation error of the nonconforming finite element at element centers. Based upon this property, the superconvergence results in the discrete l2norm for the solutions E→,H→ and curl→E→ are presented for the 3D time-harmonic Maxwell's equations. In order to get the global superconvergence, a new postprocess operator derived from the rotated Q1element interpolation is constructed, which is based on the superconvergence points. All theoretical results are justified by the provided smoothing and non-smoothing numerical tests.
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