Numerical solution of an inverse initial boundary-value problem for the full time-dependent Maxwell's equations in the presence of imperfections of small volume

DOI10.1080/00036811.2011.643782zbMath1302.78011OpenAlexW2071148445MaRDI QIDQ2841184

Abdessatar Khelifi, Anton Sushchenko, Christian Daveau, Diane Manuel Douady

Publication date: 24 July 2013

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.643782

zbMATH Keywords

Fourier transforminverse problemMaxwell's equationscontrol problemelectromagnetic inhomogeneities

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Inverse problems for PDEs (35R30) Diffraction, scattering (78A45) Asymptotic analysis in optics and electromagnetic theory (78M35) Maxwell equations (35Q61)

Related Items (3)

Reconstruction of closely spaced small inhomogeneities via boundary measurements for the full time-dependent Maxwell's equations ⋮ On an inverse boundary problem for the heat equation when small heat conductivity defects are present in a material ⋮ Identification of deformable droplets from boundary measurements: the case of non-stationary Stokes problem

Cites Work

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• Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
• An Inverse Initial Boundary Value Problem for the Wave Equation in the Presence of Imperfections of Small Volume
• Reconstruction of Closely Spaced Small Inclusions

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