Modeling electromagnetism in and near composite material using two-scale behavior of the time-harmonic Maxwell equations

DOI10.3934/Math.2017.2.269zbMath1431.35191OpenAlexW2611915245MaRDI QIDQ2335218

Hélène Canot, Emmanuel Frénod

Publication date: 14 November 2019

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2017.2.269

zbMATH Keywords

asymptotic expansionhomogenizationasymptotic analysisfrequenciescomposite materialelectromagnetismtwo-scale convergenceelectromagnetic pulseseffective behaviorharmonic Maxwell equations

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Composite media; random media in optics and electromagnetic theory (78A48) Waves and radiation in optics and electromagnetic theory (78A40) Asymptotic analysis in optics and electromagnetic theory (78M35) Homogenization in optics and electromagnetic theory (78M40) Maxwell equations (35Q61)

Cites Work

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• Homogenization of the Maxwell equations. Case II: Nonlinear conductivity.
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• Limit behaviors of some boundary value problems with high and/or low valued parameters
• Homogenization of the Maxwell equations. Case I: Linear theory.
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• Finite Element Methods for Maxwell's Equations
• Multiscale convergence and reiterated homogenisation
• TWO-SCALE MACRO–MICRO DECOMPOSITION OF THE VLASOV EQUATION WITH A STRONG MAGNETIC FIELD
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
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