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Volume 26, Issue 3
Coupling of Finite Element and Boundary Element Methods for the Scattering by Periodic Chiral Structures

Habib Ammari & Gang Bao

J. Comp. Math., 26 (2008), pp. 261-283.

Published online: 2008-06

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  • 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.

  • AMS Subject Headings

65N30, 78A45, 35J20.

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COPYRIGHT: © Global Science Press

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@Article{JCM-26-261, author = {}, title = {Coupling of Finite Element and Boundary Element Methods for the Scattering by Periodic Chiral Structures}, journal = {Journal of Computational Mathematics}, year = {2008}, volume = {26}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8624.html} }
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 -

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.

Habib Ammari & Gang Bao. (1970). Coupling of Finite Element and Boundary Element Methods for the Scattering by Periodic Chiral Structures. Journal of Computational Mathematics. 26 (3). 261-283. doi:
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