Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method
Extrapolation of the Nédélec element for the Maxwell equations by the mixed finite element method
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DOI：
10.1007/s10444-007-9047-2
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发表时间：
2008-08
影响因子：
1.7
通讯作者：
Hehu Xie
中科院分区：
文献类型：
--
作者：
Hehu Xie
在本文中，我们使用积分恒等式的论点，以获得渐近误差展开的混合有限元逼近的麦克斯韦方程组的矩形网格。外推法的应用，以提高精度的近似通过插值后处理技术。在L2-范数下，通过外推，逼近精度从O（h）提高到O（h ~ 4）.数值结果表明，该方法具有较高的精度。
In this paper, we use the integral-identity argument to obtain asymptotic error expansions for the mixed finite element approximation of the Maxwell equations on a rectangular mesh. The extrapolation method is applied to improve the accuracy of the approximation via an interpolation postprocessing technique. With the extrapolation, the approximation accuracy can be improved fromO(h) toO(h4) in theL2-norm. Illustrative numerical results are given to demonstrate the higher order accuracy of the extrapolation method.