TY - JOUR T1 - Coupling of Finite Element and Boundary Element Methods for the Scattering by Periodic Chiral Structures AU - Habib Ammari & Gang Bao JO - Journal of Computational Mathematics VL - 3 SP - 261 EP - 283 PY - 2008 DA - 2008/06 SN - 26 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8624.html KW - Chiral media, Periodic structures, Finite element method, Boundary element method, Convergence. AB -
Consider a time-harmonic electromagnetic plane wave incident on a biperiodic structure in $\boldsymbol{R}^3$. The periodic structure separates two homogeneous regions. The medium inside the structure is chiral and nonhomogeneous. In this paper, variational formulations coupling finite element methods in the chiral medium with a method of integral equations on the periodic interfaces are studied. The well-posedness of the continuous and discretized problems is established. Uniform convergence for the coupling variational approximations of the model problem is obtained.