The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
Year: 2018
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 5 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2017-0272
Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 5 : pp. 1126–1157
Published online: 2018-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 32
Author Details
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