TY - JOUR
T1 - The Plane Wave Methods Combined with Local Spectral Finite Elements for the Wave Propagation in Anisotropic Media
AU - Yuan , Long
AU - Hu , Qiya
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1126
EP - 1157
PY - 2018
DA - 2018/07
SN - 10
DO - http://doi.org/10.4208/aamm.OA-2017-0272
UR - https://global-sci.org/intro/article_detail/aamm/12592.html
KW - 
AB - <p style="text-align: justify;">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.</p>