Numerical approximation of the spectrum of the curl operator

DOI10.1090/S0025-5718-2013-02745-7zbMath1288.65162OpenAlexW2123212352MaRDI QIDQ2871176

Pablo Venegas, Rodolfo Rodríguez

Publication date: 22 January 2014

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-2013-02745-7

zbMATH Keywords

finite elementsnumerical experimentseigenvalue problemscurl operatorspectral convergenceoptimal-order error estimatessimply-connected domainssolenoidal eigensolutions

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) 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) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25)

Related Items (5)

Finite element approximation of the spectrum of the curl operator in a multiply connected domain ⋮ Debye Sources, Beltrami Fields, and a Complex Structure on Maxwell Fields ⋮ Beltrami vector fields with an icosahedral symmetry ⋮ Eigenvalue problems for \(p\)-div-curl systems ⋮ Spectral approximation of the curl operator in multiply connected domains

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