Eigenvalue problems with sign-changing coefficients

DOI10.1016/j.crma.2017.05.002zbMath1369.65139OpenAlexW2613893407MaRDI QIDQ2363530

Lucas Chesnel, Camille Carvalho, Patrick~jun. Ciarlet

Publication date: 19 July 2017

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2017.05.002

zbMATH Keywords

finite element methodeigenvalue problemeigenfunctions

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners ⋮ Nonlinear Helmholtz equations with sign-changing diffusion coefficient ⋮ Mesh requirements for the finite element approximation of problems with sign-changing coefficients ⋮ A generalized finite element method for problems with sign-changing coefficients ⋮ Spectral analysis and domain truncation for Maxwell's equations

Cites Work

• Unnamed Item
• An optimization-based numerical method for diffusion problems with sign-changing coefficients
• 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
• Time harmonic wave diffraction problems in materials with sign-shifting coefficients
• \(T\)-coercivity and continuous Galerkin methods: application to transmission problems with sign changing coefficients
• T-coercivity for scalar interface problems between dielectrics and metamaterials
• Shapes and Geometries
• Compact Imbeddings in Electromagnetism with Interfaces between Classical Materials and Metamaterials
• Spectral pollution and how to avoid it
• Eigenvalues of Elliptic Boundary Value Problems With an Indefinite Weight Function

This page was built for publication: Eigenvalue problems with sign-changing coefficients