Convergence Analysis of the Perfectly Matched Layer Problemsfor Time-Harmonic Maxwell's Equations
Convergence Analysis of the Perfectly Matched Layer Problemsfor Time-Harmonic Maxwell's Equations
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DOI：
10.1137/040604315
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发表时间：
2005-05
期刊：
影响因子：
--
通讯作者：
G. Bao;Haijun Wu
中科院分区：
文献类型：
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作者：
G. Bao;Haijun Wu
研究了球坐标系下三维电磁散射的完全匹配层（PML）问题的收敛性。在对PML介质参数的一些简单假设下，证明了截断PML问题的唯一解。本文的主要结果是建立一个显式的误差估计之间的散射问题的解决方案和截断PML问题。误差估计意味着，特别是，通过增加PML介质参数或PML层厚度，PML解指数收敛到散射解。该收敛结果对电磁散射计算中PML介质参数的确定具有一定的参考价值。
This paper is concerned with convergence analysis of the perfectly matched layer (PML) problem in spherical coordinates for the three-dimensional electromagnetic scattering. Under some simple assumptions on the PML medium parameter, it is shown that the truncated PML problem attains a unique solution. The main result of the paper is to establish an explicit error estimate between the solution of the scattering problem and that of the truncated PML problem. The error estimate implies, in particular, that the PML solution converges exponentially to the scattering solution by increasing either the PML medium parameter or the PML layer thickness. The convergence result is expected to be useful for determining the PML medium parameter in the computational electromagnetic scattering problems.