Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner
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Publication:4613910
DOI10.1051/m2an/2016080OpenAlexW2190476203MaRDI QIDQ4613910
Lucas Chesnel, Xavier Claeys, Sergueï A. Nazarov
Publication date: 25 January 2019
Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1512.02920
Singular perturbations in context of PDEs (35B25) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)
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Cites Work
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- Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients
- On the spectrum of the Poincaré variational problem for two close-to-touching inclusions in 2D
- A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
- On the use of perfectly matched layers at corners for scattering problems with sign-changing coefficients
- Spectrum of a diffusion operator with coefficient changing sign over a small inclusion
- On the spectrum of the Steklov problem in a domain with a peak
- Time harmonic wave diffraction problems in materials with sign-shifting coefficients
- A direct boundary integral equation method for transmission problems
- Elliptic problems in domains with piecewise smooth boundaries
- Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
- Perturbation theory for linear operators.
- Remarks on a transmission problem
- On the polarizability and capacitance of the cube
- \(T\)-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients
- Spectral bounds for the Neumann-Poincaré operator on planar domains with corners
- Poincaré's variational problem in potential theory
- Two-dimensional Maxwell's equations with sign-changing coefficients
- T-coercivity for scalar interface problems between dielectrics and metamaterials
- Radiation conditions at the top of a rotational cusp in the theory of water-waves
- T-Coercivity for the Maxwell Problem with Sign-Changing Coefficients
- WELL-POSEDNESS AND FINITE ELEMENT APPROXIMABILITY OF TIME-HARMONIC ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS INVOLVING BIANISOTROPIC MATERIALS AND METAMATERIALS
- [Russian Text Ignored.]
- Analyse spectrale et singularités d'un problème de transmission non coercif
- A non elliptic spectral problem related to the analysis of superconducting micro-strip lines
- A curious instability phenomenon for a rounded corner in presence of a negative material
- RADIATION CONDITION FOR A NON-SMOOTH INTERFACE BETWEEN A DIELECTRIC AND A METAMATERIAL
- A Warning About Metamaterials for Users of Frequency-Domain Numerical Simulators
- The plasmonic eigenvalue problem
- Wave scattering by metamaterial wedges and interfaces
