Finite element approximation of Maxwell eigenproblems on curved Lipschitz polyhedral domains

DOI10.1016/j.apnum.2009.01.007zbMath1172.65061OpenAlexW2135739608MaRDI QIDQ1030667

Anahí Dello Russo, Ana E. Alonso

Publication date: 2 July 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2009.01.007

zbMATH Keywords

error estimatesfinite element methodseigenfunctionsedge elementscurved domainsdiscrete compactness propertyHelmholtz-type decompositionsMaxwell eigenvalue problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Error bounds for boundary value problems involving PDEs (65N15) 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 (7)

On the approximation of electromagnetic fields by edge finite elements. IV: Analysis of the model with one sign-changing coefficient ⋮ Analysis of Time-Harmonic Maxwell Impedance Problems in Anisotropic Media ⋮ Numerical approximation based on a decoupled dimensionality reduction scheme for Maxwell eigenvalue problem ⋮ An \textit{hp}-version interior penalty discontinuous Galerkin method for the quad-curl eigenvalue problem ⋮ Variational methods for solving numerically magnetostatic systems ⋮ Shifted inverse iteration based multigrid methods for the quad-curl eigenvalue problem ⋮ Analysis of Variational Formulations and Low-regularity Solutions for Time-harmonic Electromagnetic Problems in Complex Anisotropic Media

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