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Volume 36, Issue 6
An Adaptive Finite Element Method for the Wave Scattering by a Periodic Chiral Structure

Zhoufeng Wang & Peiqi Huang

J. Comp. Math., 36 (2018), pp. 845-865.

Published online: 2018-08

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  • Abstract

The electromagnetic wave propagation in the chiral medium is governed by Maxwell's equations together with the Drude-Born-Fedorov (constitutive) equations. The problem is simplified to a two-dimensional scattering problem, and is formulated in a bounded domain by introducing two pairs of transparent boundary conditions. An a posteriori error estimate associated with the truncation of the nonlocal boundary operators is established. Based on the a posteriori error control, a finite element adaptive strategy is presented for computing the diffraction problem. The truncation parameter is determined through sharp a posteriori error estimate. Numerical experiments are included to illustrate the robustness and effectiveness of our error estimate and the proposed adaptive algorithm.

  • Keywords

Maxwell's equations, A posteriori error analysis, Adaptive algorithm, Scattering.

  • AMS Subject Headings

35Q61, 65N15, 65N30, 78A45

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

zfwang801003@126.com (Zhoufeng Wang)

pqhuang1979@163.com (Peiqi Huang)

  • BibTex
  • RIS
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@Article{JCM-36-845, author = {Zhoufeng and Wang and zfwang801003@126.com and 6744 and School of Mathematics and Statistics, Henan University of Science and Technology, Henan 471023 and Department of Mathematics, Nanjing University, Nanjing 210093, China and Zhoufeng Wang and Peiqi and Huang and pqhuang1979@163.com and 6745 and Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China and Peiqi Huang}, title = {An Adaptive Finite Element Method for the Wave Scattering by a Periodic Chiral Structure}, journal = {Journal of Computational Mathematics}, year = {2018}, volume = {36}, number = {6}, pages = {845--865}, abstract = {

The electromagnetic wave propagation in the chiral medium is governed by Maxwell's equations together with the Drude-Born-Fedorov (constitutive) equations. The problem is simplified to a two-dimensional scattering problem, and is formulated in a bounded domain by introducing two pairs of transparent boundary conditions. An a posteriori error estimate associated with the truncation of the nonlocal boundary operators is established. Based on the a posteriori error control, a finite element adaptive strategy is presented for computing the diffraction problem. The truncation parameter is determined through sharp a posteriori error estimate. Numerical experiments are included to illustrate the robustness and effectiveness of our error estimate and the proposed adaptive algorithm.

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1705-m2017-0009}, url = {http://global-sci.org/intro/article_detail/jcm/12605.html} }
TY - JOUR T1 - An Adaptive Finite Element Method for the Wave Scattering by a Periodic Chiral Structure AU - Wang , Zhoufeng AU - Huang , Peiqi JO - Journal of Computational Mathematics VL - 6 SP - 845 EP - 865 PY - 2018 DA - 2018/08 SN - 36 DO - http://doi.org/10.4208/jcm.1705-m2017-0009 UR - https://global-sci.org/intro/article_detail/jcm/12605.html KW - Maxwell's equations, A posteriori error analysis, Adaptive algorithm, Scattering. AB -

The electromagnetic wave propagation in the chiral medium is governed by Maxwell's equations together with the Drude-Born-Fedorov (constitutive) equations. The problem is simplified to a two-dimensional scattering problem, and is formulated in a bounded domain by introducing two pairs of transparent boundary conditions. An a posteriori error estimate associated with the truncation of the nonlocal boundary operators is established. Based on the a posteriori error control, a finite element adaptive strategy is presented for computing the diffraction problem. The truncation parameter is determined through sharp a posteriori error estimate. Numerical experiments are included to illustrate the robustness and effectiveness of our error estimate and the proposed adaptive algorithm.

Zhoufeng Wang & Peiqi Huang. (2020). An Adaptive Finite Element Method for the Wave Scattering by a Periodic Chiral Structure. Journal of Computational Mathematics. 36 (6). 845-865. doi:10.4208/jcm.1705-m2017-0009
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