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Nonlocal models for interface problems between dielectrics and metamaterials

Juan Pablo Borthagaray 1 Patrick Ciarlet 2 
2 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
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.
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Submitted on : Monday, June 26, 2017 - 3:56:45 PM
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  • HAL Id : hal-01547364, version 1


Juan Pablo Borthagaray, Patrick Ciarlet. Nonlocal models for interface problems between dielectrics and metamaterials. 11th International Congress on Engineered Material Platforms for Novel Wave Phenomena - Metamaterials 2017, Aug 2017, Marseille, France. pp.3. ⟨hal-01547364⟩



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