TY - JOUR
T1 - Coupling of Finite Element and Boundary Element Methods for the Scattering by Periodic Chiral Structures
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 - <p style="text-align: justify;">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.</p>