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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.

  • Keywords

Chiral media, Periodic structures, Finite element method, Boundary element method, Convergence.

  • AMS Subject Headings

65N30, 78A45, 35J20.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-26-261, author = {Habib Ammari and Gang Bao}, 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 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.

Habib Ammari and Gang Bao. (2008). 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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