@Article{JCM-36-6, author = {Zhoufeng, Wang 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 = {https://global-sci.com/article/84498/an-adaptive-finite-element-method-for-the-wave-scattering-by-a-periodic-chiral-structure} }