The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
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DOI：
10.4208/aamm.oa-2017-0272
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发表时间：
2018-06
影响因子：
1.4
通讯作者：
Long Hu
中科院分区：
文献类型：
--
作者：
Long Hu
将平面波最小二乘法与局部谱有限元相结合，有效地解决了复杂波数时谐声波和电磁波的传播问题。对于电磁波在各向异性介质中传播的非均匀情况，我们发展了平面波最小二乘法和超弱变分公式。在TE模散射的一种特殊情况下，我们给出了这些方法所产生的近似解的误差估计。数值结果表明，这两种方法得到的近似解具有较高的精度，验证了理论结果的有效性。AMS科目分类：65N30、65N55
The plane wave least-squares method combined with local spectral finite elements has been used effectively to solve time-harmonic acoustic and electromagnetic wave propagation with complex wavenumbers. We develop the plane wave leastsquares method and the ultra weak variational formulation for the nonhomogeneous case of the electromagnetic wave propagation in anisotropic media. We derive error estimates of the approximation solutions generated by these methods in one special case of TE mode scattering. Numerical results indicate that the resulting approximate solutions generated by these two methods possess high accuracy and verify the validity of the theoretical results. AMS subject classifications: 65N30, 65N55