A Mixed Method for Maxwell Eigenproblem
A Mixed Method for Maxwell Eigenproblem
复制标题
DOI：
10.1007/s10915-019-01111-0
复制
发表时间：
2020-01
影响因子：
2.5
通讯作者：
Zhijie Du;Huoyuan Duan
中科院分区：
文献类型：
--
作者：
Zhijie Du;Huoyuan Duan
我们提出了一种混合方法的计算特征值的麦克斯韦本征问题，在电场和乘子。该方法允许电场的拉格朗日元素的任何阶数大于或等于2，而一个分段常数元素总是为乘数。我们表明，最佳的误差估计产量奇异以及光滑的解决方案。对于L型区域中本征函数奇异光滑的麦克斯韦本征问题，我们给出了数值结果来说明所提出方法的有效性，并证实了理论结果.
We propose a mixed method for the computation of the eigenvalues of the Maxwell eigenproblem, in terms of the electric field and a multiplier. The method allows the Lagrange elements of any order greater than or equal to two for the electric field, while a piecewise constant element always for the multiplier. We show that optimal error estimates yield for singular as well as smooth solutions. For the Maxwell eigenproblem in L-shaped domain which has singular and smooth eigenfunctions, we present numerical results for illustrating the effectiveness of the proposed method and for confirming the theoretical results.