Spectral approximation of time-harmonic Maxwell equations in three-dimensional exterior domains
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)...
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| Main Authors: | , , |
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| 其他作者: | |
| 格式: | Article |
| 語言: | English |
| 出版: |
2019
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| 主題: | |
| 在線閱讀: | https://hdl.handle.net/10356/85427 http://hdl.handle.net/10220/48223 http://www.global-sci.org.ezlibproxy1.ntu.edu.sg/intro/article_detail/ijnam/494.html |
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| 機構: | Nanyang Technological University |
| 語言: | English |
| 總結: | 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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