TY - GEN
T1 - Nonlocal models for interface problems between dielectrics and metamaterials
AU - Borthagaray, Juan Pablo
AU - Ciarlet, Patrick
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2017/11/14
Y1 - 2017/11/14
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85040534406
U2 - 10.1109/MetaMaterials.2017.8107839
DO - 10.1109/MetaMaterials.2017.8107839
M3 - Conference contribution
AN - SCOPUS:85040534406
T3 - 2017 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017
SP - 61
EP - 63
BT - 2017 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena, Metamaterials 2017
Y2 - 28 August 2017 through 2 September 2017
ER -