Mesh requirements for the finite element approximation of problems with sign-changing coefficients

DOI10.1007/s00211-017-0923-5zbMath1384.78009OpenAlexW2620616685MaRDI QIDQ1742487

Anne-Sophie Bonnet-Ben Dhia, Camille Carvalho, Patrick~jun. Ciarlet

Publication date: 11 April 2018

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-017-0923-5

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Composite media; random media in optics and electromagnetic theory (78A48) Variational methods for second-order elliptic equations (35J20)

Related Items (10)

Complex-scaling method for the complex plasmonic resonances of planar subwavelength particles with corners ⋮ Nonlinear Helmholtz equations with sign-changing diffusion coefficient ⋮ Homogenization of Maxwell's equations and related scalar problems with sign-changing coefficients ⋮ On the approximation of electromagnetic fields by edge finite elements. IV: Analysis of the model with one sign-changing coefficient ⋮ An Optimal Control-Based Numerical Method for Scalar Transmission Problems with Sign-Changing Coefficients ⋮ Non-linear eigenvalue problems with GetDP and SLEPc: eigenmode computations of frequency-dispersive photonic open structures ⋮ Localization of global norms and robust a posteriori error control for transmission problems with sign-changing coefficients ⋮ A generalized finite element method for problems with sign-changing coefficients ⋮ Galerkin approximation of holomorphic eigenvalue problems: weak T-coercivity and T-compatibility ⋮ Limiting amplitude principle and resonances in plasmonic structures with corners: numerical investigation

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