Two- and three-field formulations for wave transmission between media with opposite sign dielectric constants

DOI10.1016/j.cam.2006.01.046zbMath1136.78003OpenAlexW2004171152MaRDI QIDQ883475

C. M. Zwölf, Patrick~jun. Ciarlet, Anne-Sophie Bonnet-Ben Dhia

Publication date: 4 June 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.01.046

zbMATH Keywords

augmented variational formulationopposite sign dielectric constantswave transmission problem

Mathematics Subject Classification ID

Electromagnetic theory (general) (78A25) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (12)

Negative index materials and their applications: recent mathematics progress ⋮ Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients ⋮ Two-dimensional Maxwell's equations with sign-changing coefficients ⋮ A NEW COMPACTNESS RESULT FOR ELECTROMAGNETIC WAVES: APPLICATION TO THE TRANSMISSION PROBLEM BETWEEN DIELECTRICS AND METAMATERIALS ⋮ Volume integral equations for scattering from anisotropic diffraction gratings ⋮ Solving metamaterial Maxwell's equations via a vector wave integro-differential equation ⋮ A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients ⋮ Time harmonic wave diffraction problems in materials with sign-shifting coefficients ⋮ An assessment by a commercial software of the accuracy of electromagnetic finite element simulators in the presence of metamaterials ⋮ WELL-POSEDNESS AND FINITE ELEMENT APPROXIMABILITY OF TIME-HARMONIC ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS INVOLVING BIANISOTROPIC MATERIALS AND METAMATERIALS ⋮ 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

• Unnamed Item
• A direct boundary integral equation method for transmission problems
• Augmented formulations for solving Maxwell equations
• The linear sampling method for anisotropic media
• Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
• Analyse spectrale et singularités d'un problème de transmission non coercif

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