On the modified transmission eigenvalue problem with an artificial metamaterial background

DOI10.1007/s40687-021-00278-zzbMath1467.35179OpenAlexW3176557356MaRDI QIDQ2036407

Drossos Gintides, Nikolaos Pallikarakis, Kyriakos Stratouras

Publication date: 29 June 2021

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-021-00278-z

zbMATH Keywords

Galerkin approximationinhomogeneous mediumtransmission eigenvaluesmetamaterial refractive indexmodified far field equations

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91) Boundary value problems for second-order elliptic systems (35J57)

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Uniqueness of a spherically symmetric refractive index from modified transmission eigenvalues ⋮ The A Priori and A Posteriori Error Estimates for Modified Interior Transmission Eigenvalue Problem in Inverse Scattering ⋮ Virtual element method for the modified transmission eigenvalue problem in inverse scattering theory ⋮ The mixed discontinuous Galerkin method for transmission eigenvalues for anisotropic medium ⋮ The finite element method for modified transmission eigenvalues for inverse scattering in a fluid-solid interaction problem

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