Volume 10, Issue 5
The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media

Long Yuan & Qiya Hu

Adv. Appl. Math. Mech., 10 (2018), pp. 1126-1157.

Published online: 2018-07

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  • Abstract

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 least-squares 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.

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@Article{AAMM-10-1126, author = {}, title = {The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {10}, number = {5}, pages = {1126--1157}, abstract = {

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 least-squares 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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2017-0272}, url = {http://global-sci.org/intro/article_detail/aamm/12592.html} }
TY - JOUR T1 - The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 1126 EP - 1157 PY - 2018 DA - 2018/07 SN - 10 DO - http://dor.org/10.4208/aamm.OA-2017-0272 UR - https://global-sci.org/intro/aamm/12592.html KW - AB -

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 least-squares 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.

Long Yuan & Qiya Hu. (1970). The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media. Advances in Applied Mathematics and Mechanics. 10 (5). 1126-1157. doi:10.4208/aamm.OA-2017-0272
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