Abstract:
Consider two materials with permittivities/diffusivities of opposite sign, and separated by an interface with a corner. Then, when solving the classic (local) models derived from electromagnetics theory, strong singularities may appear. For instance the scalar problem may be ill-posed in H1. To address this difficulty, we study here a nonlocal model for scalar problems with sign-changing coefficients. Numerical results indicate that the proposed nonlocal model has some key advantages over the local one. © 2017 IEEE.
Registro:
| Documento: |
Conferencia
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| Título: | Nonlocal models for interface problems between dielectrics and metamaterials |
| Autor: | Borthagaray, J.P.; Ciarlet, P. |
| Filiación: | IMAS-CONICET and Departamento de Matemática, FCEyN-Universidad de Buenos Aires, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
P0EMS (CNRS/ENSTA ParisTech/INRIA), 828 Bd des Maréchaux, Palaiseau Cedex, 91762, France
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| Palabras clave: | Metamaterials; Waveform analysis; Electromagnetics; Ill posed; Interface problems; Nonlocal models; Numerical results; Scalar problems; Sign-changing; Two-materials; Interfaces (materials) |
| Año: | 2017
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| Página de inicio: | 61
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| Página de fin: | 63
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| DOI: |
http://dx.doi.org/10.1109/MetaMaterials.2017.8107839 |
| Título revista: | 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017
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| Título revista abreviado: | Int. Congr. Eng. Material Platf. Nov. Wave Phenom., Metamaterials
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| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_97815386_v_n_p61_Borthagaray |
Referencias:
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Citas:
---------- APA ----------
Borthagaray, J.P. & Ciarlet, P.
(2017)
. Nonlocal models for interface problems between dielectrics and metamaterials. 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017, 61-63.
http://dx.doi.org/10.1109/MetaMaterials.2017.8107839---------- CHICAGO ----------
Borthagaray, J.P., Ciarlet, P.
"Nonlocal models for interface problems between dielectrics and metamaterials"
. 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017
(2017) : 61-63.
http://dx.doi.org/10.1109/MetaMaterials.2017.8107839---------- MLA ----------
Borthagaray, J.P., Ciarlet, P.
"Nonlocal models for interface problems between dielectrics and metamaterials"
. 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017, 2017, pp. 61-63.
http://dx.doi.org/10.1109/MetaMaterials.2017.8107839---------- VANCOUVER ----------
Borthagaray, J.P., Ciarlet, P. Nonlocal models for interface problems between dielectrics and metamaterials. Int. Congr. Eng. Material Platf. Nov. Wave Phenom., Metamaterials. 2017:61-63.
http://dx.doi.org/10.1109/MetaMaterials.2017.8107839