Nonlocal models for interface problems between dielectrics and metamaterials
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 addr...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p61_Borthagaray |
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todo:paper_97815386_v_n_p61_Borthagaray2023-10-03T16:43:57Z Nonlocal models for interface problems between dielectrics and metamaterials Borthagaray, J.P. Ciarlet, P. Metamaterials Waveform analysis Electromagnetics Ill posed Interface problems Nonlocal models Numerical results Scalar problems Sign-changing Two-materials Interfaces (materials) 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. CONF info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p61_Borthagaray |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Metamaterials Waveform analysis Electromagnetics Ill posed Interface problems Nonlocal models Numerical results Scalar problems Sign-changing Two-materials Interfaces (materials) |
| spellingShingle |
Metamaterials Waveform analysis Electromagnetics Ill posed Interface problems Nonlocal models Numerical results Scalar problems Sign-changing Two-materials Interfaces (materials) Borthagaray, J.P. Ciarlet, P. Nonlocal models for interface problems between dielectrics and metamaterials |
| topic_facet |
Metamaterials Waveform analysis Electromagnetics Ill posed Interface problems Nonlocal models Numerical results Scalar problems Sign-changing Two-materials Interfaces (materials) |
| description |
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. |
| format |
CONF |
| author |
Borthagaray, J.P. Ciarlet, P. |
| author_facet |
Borthagaray, J.P. Ciarlet, P. |
| author_sort |
Borthagaray, J.P. |
| title |
Nonlocal models for interface problems between dielectrics and metamaterials |
| title_short |
Nonlocal models for interface problems between dielectrics and metamaterials |
| title_full |
Nonlocal models for interface problems between dielectrics and metamaterials |
| title_fullStr |
Nonlocal models for interface problems between dielectrics and metamaterials |
| title_full_unstemmed |
Nonlocal models for interface problems between dielectrics and metamaterials |
| title_sort |
nonlocal models for interface problems between dielectrics and metamaterials |
| url |
http://hdl.handle.net/20.500.12110/paper_97815386_v_n_p61_Borthagaray |
| work_keys_str_mv |
AT borthagarayjp nonlocalmodelsforinterfaceproblemsbetweendielectricsandmetamaterials AT ciarletp nonlocalmodelsforinterfaceproblemsbetweendielectricsandmetamaterials |
| _version_ |
1782029089222164480 |