Superconvergent Recovery of Rectangular Edge Finite Element Approximation by Local Symmetry Projection
Superconvergent Recovery of Rectangular Edge Finite Element Approximation by Local Symmetry Projection
复制标题
局部对称投影矩形边缘有限元逼近的超收敛恢复
DOI：
10.1007/s10915-019-01057-3
复制
发表时间：
2019
影响因子：
2.5
通讯作者：
Yuan Jinyun
中科院分区：
文献类型：
--
作者：
Wu Chao;Huang Yunqing;Yi Nianyu;Yuan Jinyun
提出了一种利用局部对称投影的矩形边缘有限元近似麦克斯韦方程组的恢复方法。将恢复方法应用于nsamdsamet插值，得到了后处理nsamdsamet插值的超收敛性。结合nsamdsamet插值与边缘有限元逼近的超接近结果，证明了后处理后的边缘有限元解超收敛于精确解。数值算例说明了我们的理论分析。
A new recovery method of rectangular edge finite element approximation for Maxwell’s equations is proposed by using the local symmetry projection. The recovery method is applied to the Nédélec interpolation to obtain the superconvergence of postprocessed Nédélec interpolation. Combining with the superclose result between the Nédélec interpolation and edge finite element approximation, it is shown that the postprocessed edge finite element solution superconverges to the exact solution. Numerical examples are presented to illustrate our theoretical analysis.