Year: 2018
Author: Zhoufeng Wang, Peiqi Huang
Journal of Computational Mathematics, Vol. 36 (2018), Iss. 6 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1705-m2017-0009
Journal of Computational Mathematics, Vol. 36 (2018), Iss. 6 : pp. 845–865
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Maxwell's equations A posteriori error analysis Adaptive algorithm Scattering.