Coupling of Finite Element and Boundary Element Methods for the Scattering by Periodic Chiral Structures

Coupling of Finite Element and Boundary Element Methods for the Scattering by Periodic Chiral Structures

Year:    2008

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 3 : pp. 261–283

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2008-JCM-8624

Journal of Computational Mathematics, Vol. 26 (2008), Iss. 3 : pp. 261–283

Published online:    2008-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    23

Keywords:    Chiral media Periodic structures Finite element method Boundary element method Convergence.