Stability estimates in the problem of cloaking material bodies for Maxwell's equations

DOI10.1134/S0965542514120069zbMath1326.49031OpenAlexW2141326837MaRDI QIDQ889206

Gennady V. Alekseev

Publication date: 6 November 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542514120069

zbMATH Keywords

stabilitysolvabilityMaxwell's equationscontrol problemoptimality systemboundary impedancemixed transmission problem

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Existence theories for optimal control problems involving partial differential equations (49J20) Maxwell equations (35Q61)

Related Items (8)

Analysis and optimization in problems of cloaking of material bodies for the Maxwell equations ⋮ Analysis of the Boundary Value and Control Problems for Nonlinear Reaction–Diffusion–Convection Equation ⋮ Optimization-based numerical analysis of three-dimensional magnetic cloaking problems ⋮ Theoretical analysis of the magnetic cloaking problem based on an optimization method ⋮ Analysis of a two-dimensional thermal cloaking problem on the basis of optimization ⋮ Analysis of boundary value and extremum problems for a nonlinear reaction-diffusion-convection equation ⋮ Boundary and extremum problems for the nonlinear reaction-diffusion-convection equation under the Dirichlet condition ⋮ Optimization method in 2D magnetic cloaking problems

Cites Work

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• Full range scattering estimates and their application to cloaking
• Two dimensional invisibility cloaking via transformation optics
• Full-wave invisibility of active devices at all frequencies
• On near-cloak in acoustic scattering
• Transformation optics and approximate cloaking
• Control of boundary impedance in two-dimensional material-body cloaking by the wave flow method
• Optical Conformal Mapping
• Controlling Electromagnetic Fields
• Acoustic cloaking theory
• Cloaking via change of variables for the Helmholtz equation
• Finite Element Methods for Maxwell's Equations
• The electromagnetic inverse-scattering problem for partly coated Lipschitz domains
• Cloaking via impedance boundary condition for the 2-D Helmholtz equation
• Invisibility and inverse problems

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