Multilevel solution of the time-harmonic Maxwell's equations based on edge elements

DOI<901::AID-NME611>3.0.CO;2-4 10.1002/(SICI)1097-0207(19990710)45:7<901::AID-NME611>3.0.CO;2-4zbMath0930.35167OpenAlexW2091795143MaRDI QIDQ4267132

Rudolf Beck, Ralf Hiptmair

Publication date: 9 February 2000

Full work available at URL: https://doi.org/10.1002/(sici)1097-0207(19990710)45:7<901::aid-nme611>3.0.co;2-4

zbMATH Keywords

Maxwell's equationsscattering problemsedge elementsmultilevel preconditioningNédélec elementswaveguide computations

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10)

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Analysis of multilevel methods for eddy current problems, An hp‐adaptive finite element method for electromagnetics—part II: A 3D implementation, Two‐grid methods for time‐harmonic Maxwell equations, Multilevel iterative solvers for the edge finite element solution of the 3D Maxwell equation, Two-level additive preconditioners for edge element discretizations of time-harmonic Maxwell equations, Residual based a posteriori error estimators for eddy current computation, A Robust Multilevel Method for the Time-harmonic Maxwell Equation with High Wave Number, The mathematical modeling of the electric field in the media with anisotropic objects

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