Finite Element Eigenvalue Enclosures for the Maxwell Operator

DOI10.1137/140957810zbMath1317.78012arXiv1402.4911OpenAlexW1966554401MaRDI QIDQ5176055

Lyonell Boulton, Gabriel R. Barrenechea, Nabile Boussaid

Publication date: 2 March 2015

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.4911

zbMATH Keywords

finite element methodelectromagnetic fieldMaxwell equationspectral pollutioneigenvalue enclosures

Mathematics Subject Classification ID

Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Applications to the sciences (65Z05) Waves and radiation in optics and electromagnetic theory (78A40) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items (7)

Computational Lower Bounds of the Maxwell Eigenvalues ⋮ Flux reconstructions in the Lehmann-Goerisch method for lower bounds on eigenvalues ⋮ Spectral pollution and eigenvalue bounds ⋮ On the quality of complementary bounds for eigenvalues ⋮ Local two-sided bounds for eigenvalues of self-adjoint operators ⋮ Computation of sharp estimates of the Poincaré constant on planar domains with piecewise self-similar boundary ⋮ Spectral analysis and domain truncation for Maxwell's equations

This page was built for publication: Finite Element Eigenvalue Enclosures for the Maxwell Operator