Spectral approximation of time-harmonic Maxwell equations in three-dimensional exterior domains
Date of Issue2015
School of Physical and Mathematical Sciences
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.
International Journal of Numerical Analysis and Modeling
© 2015 Institute for Scientific Computing and Information. All rights reserved. This paper was published in International Journal of Numerical Analysis and Modeling and is made available with permission of Institute for Scientific Computing and Information.