TY - JOUR
T1 - Spectral Approximation of Time-Harmonic Maxwell Equations in Three-Dimensional Exterior Domains
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 366
EP - 383
PY - 2015
DA - 2015/12
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/494.html
KW - Maxwell equations, exterior problems, transparent boundary conditions, vector spherical harmonics, Legendre spectral method.
AB - <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>