Cloaking via impedance boundary condition for the 2-D Helmholtz equation

DOI10.1080/00036811.2013.768340zbMath1290.35321OpenAlexW2001903252WikidataQ58161080 ScholiaQ58161080MaRDI QIDQ5413838

Gennady V. Alekseev

Publication date: 2 May 2014

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

Full work available at URL: https://doi.org/10.1080/00036811.2013.768340

zbMATH Keywords

boundary controlsolvabilityHelmholtz equationmixed boundary value problemcontrol problemcloakingimpedancestability estimates

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) PDEs in connection with optics and electromagnetic theory (35Q60) Inverse problems for PDEs (35R30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25) Existence theories for optimal control problems involving partial differential equations (49J20)

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Analysis and optimization in problems of cloaking of material bodies for the Maxwell equations ⋮ Control of boundary impedance in two-dimensional material-body cloaking by the wave flow method ⋮ Stability estimates in the problem of cloaking material bodies for Maxwell's equations ⋮ Optimization method in problems of acoustic cloaking of material bodies ⋮ Theoretical analysis of the magnetic cloaking problem based on an optimization method ⋮ Optimal control for electromagnetic cloaking metamaterial parameters design ⋮ Optimization method in material bodies cloaking with respect to static physical fields ⋮ Optimization method in 2D magnetic cloaking problems

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