@Article{IJNAM-12-2,
author = {},
title = {Spectral Approximation of Time-Harmonic Maxwell Equations in Three-Dimensional Exterior Domains},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2015},
volume = {12},
number = {2},
pages = {366--383},
abstract = {<p style="text-align: justify;">We develop in this paper an efficient and robust spectral-Galerkin method for solving
the three-dimensional time-harmonic Maxwell equations in exterior domains. We first reduce the
problem to a bounded domain by using the capacity operator which characterizes the transparent
boundary condition (TBC). Then, we adopt the transformed field expansion (TFE) approach to
reduce the problem to a sequence of Maxwell equations in a spherical shell. Finally, we develop
an efficient spectral algorithm by using Legendre approximation in the radial direction and vector
spherical harmonic expansion in the tangential directions.</p>},
issn = {2617-8710},
doi = {https://doi.org/2015-IJNAM-494},
url = {https://global-sci.com/article/83297/spectral-approximation-of-time-harmonic-maxwell-equations-in-three-dimensional-exterior-domains}
}