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A PML Finite Element Method for Electromagnetic Scattering Problems in a Two-Layer Medium

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Abstract

The paper concerns the numerical solution for three-dimensional electromagnetic scattering problems in a two-layer medium. The Cartesian perfectly matched layer (PML) method is adopted to truncate the unbounded physical domain into a bounded computational domain. Although the PML method has been used widely to solve electromagnetic scattering problems, rigorous finite element error analyses are still rare in the literature, particularly, for electromagnetic scattering problems in layered media. This paper presents a thorough error analysis for finite element approximation to the scattering problems in a two-layer medium with PML boundary condition. Numerical experiments are presented to demonstrate the efficiency of the PML method and the optimal convergence of the finite element solution.

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Funding

Xue Jiang was partially supported by China NSF Grant 11771057.

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Authors and Affiliations

  1. School of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, People’s Republic of China

    Xue Jiang

  2. School of Statistics and Big Data, Henan University of Economics and Law, Zhengzhou, 450046, People’s Republic of China

    Xiaoqi Duan

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  1. Xue Jiang
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  2. Xiaoqi Duan
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XJ: conceptualization (equal); formal analysis (equal); software (equal); writing (equal). XD: formal analysis (equal); writing (equal).

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Correspondence to Xue Jiang.

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The first author is supported in part by China NSF Grant 11771057.

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Jiang, X., Duan, X. A PML Finite Element Method for Electromagnetic Scattering Problems in a Two-Layer Medium. J Sci Comput 90, 34 (2022). https://doi.org/10.1007/s10915-021-01678-7

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  • DOI: https://doi.org/10.1007/s10915-021-01678-7

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