Curl recovery for the lowest order rectangular edge element

Curl recovery for the lowest order rectangular edge element
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DOI:
10.1016/j.amc.2019.124897
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发表时间:
2020-04
期刊:
Appl. Math. Comput.
影响因子:
--
通讯作者:
Peizhen Wang;Yanping Chen;Wei Yang
Peizhen Wang;Yanping Chen;Wei Yang
中科院分区:
其他
文献类型:
--
作者:
Peizhen Wang;Yanping Chen;Wei Yang

文献摘要

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本文给出了二维时谐麦克斯韦方程组最低阶矩形边元的两个恢复旋度结果。所提出的方法是关于局部离散最小二乘拟合。证明了这两种方法是超收敛的。数值算例表明,恢复方法可以得到时调和麦克斯韦方程组的超收敛旋度近似。
In this paper, we present two recovered curl results of the lowest order rectangular edge element for 2-D time-harmonic Maxwell’s equations. The proposed methods are about local discrete least square fittings. It is proved that the two methods are superconvergent. Numerical examples show that the recovery methods can obtain superconvergent curl approximations for time-harmonic Maxwell’s equations.