WELL-POSEDNESS AND FINITE ELEMENT APPROXIMABILITY OF TIME-HARMONIC ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS INVOLVING BIANISOTROPIC MATERIALS AND METAMATERIALS

DOI10.1142/S0218202509004121zbMath1205.78058MaRDI QIDQ3400128

Paolo R. Fernandes, Mirco Raffetto

Publication date: 5 February 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

convergencefinite element methodwell-posednesselectromagnetic boundary value problemsbianisotropic materials

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) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)

Related Items (14)

Superconvergence analysis for time-dependent Maxwell's equations in metamaterials ⋮ RADIATION CONDITION FOR A NON-SMOOTH INTERFACE BETWEEN A DIELECTRIC AND A METAMATERIAL ⋮ Developing a time-domain finite element method for the Lorentz metamaterial model and applications ⋮ Well-posedness study for a time-domain spherical cloaking model ⋮ Numerical study of the plasma-Lorentz model in metamaterials ⋮ Hodge decomposition for two-dimensional time-harmonic Maxwell's equations: impedance boundary condition ⋮ Oscillating behaviour of the spectrum for a plasmonic problem in a domain with a rounded corner ⋮ Finite element study of the Lorentz model in metamaterials ⋮ Superconvergence of mixed finite element approximations to 3-D Maxwell's equations in metamaterials ⋮ Numerical convergence and physical fidelity analysis for Maxwell's equations in metamaterials ⋮ Solving metamaterial Maxwell's equations via a vector wave integro-differential equation ⋮ Well-posedness study and finite element simulation of time-domain cylindrical and elliptical cloaks ⋮ Well posedness and finite element approximability of two-dimensional time-harmonic electromagnetic problems involving non-conducting moving objects with stationary boundaries ⋮ T-Coercivity for the Maxwell Problem with Sign-Changing Coefficients

Cites Work

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• Boundary element methods for Maxwell transmission problems in Lipschitz domains
• On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
• Finite element analysis for wave propagation in double negative metamaterials
• UNIQUE SOLVABILITY FOR ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS IN THE PRESENCE OF PARTLY LOSSY INHOMOGENEOUS ANISOTROPIC MEDIA AND MIXED BOUNDARY CONDITIONS
• Finite Element Methods for Navier-Stokes Equations
• Un résultat de densité pour les équations de Maxwell
• Finite Element Methods for Maxwell's Equations
• HODGE DECOMPOSITIONS ON THE BOUNDARY OF NONSMOOTH DOMAINS: THE MULTI-CONNECTED CASE
• A Warning About Metamaterials for Users of Frequency-Domain Numerical Simulators
• Existence, uniqueness and finite element approximation of the solution of time‐harmonic electromagnetic boundary value problems involving metamaterials

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