Analysis and optimization in problems of cloaking of material bodies for the Maxwell equations

DOI10.1134/S0012266116030101zbMath1356.35236MaRDI QIDQ309826

Gennady V. Alekseev

Publication date: 7 September 2016

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

scatteringMaxwell equationscloaking

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Control/observation systems governed by partial differential equations (93C20) Diffraction, scattering (78A45) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46) Maxwell equations (35Q61)

Related Items (8)

Unnamed Item ⋮ 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 ⋮ Numerical analysis of two-dimensional magnetic cloaking problems based on an optimization method ⋮ Optimal control for electromagnetic cloaking metamaterial parameters design ⋮ Analysis of a two-dimensional thermal cloaking problem on the basis of optimization ⋮ Boundary and extremum problems for the nonlinear reaction-diffusion-convection equation under the Dirichlet condition

Cites Work

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• Finite Element Methods for Maxwell's Equations
• Cloaking via impedance boundary condition for the 2-D Helmholtz equation

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