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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

DOI: 10.4208/jcm.1705-m2017-0009

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
  • TXT
@Article{JCM-36-845, author = {Wang , Zhoufeng and Huang , Peiqi}, 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.

Wang , Zhoufeng and Huang , Peiqi. (2018). 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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