Year: 2015
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 2 : pp. 366–383
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2015-IJNAM-494
International Journal of Numerical Analysis and Modeling, Vol. 12 (2015), Iss. 2 : pp. 366–383
Published online: 2015-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
Keywords: Maxwell equations exterior problems transparent boundary conditions vector spherical harmonics Legendre spectral method.