Analysis of a two-dimensional thermal cloaking problem on the basis of optimization

DOI10.1134/S0965542518040048zbMath1459.74046OpenAlexW2804200445WikidataQ129786486 ScholiaQ129786486MaRDI QIDQ722411

Gennady V. Alekseev

Publication date: 23 July 2018

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

Full work available at URL: https://doi.org/10.1134/s0965542518040048

zbMATH Keywords

stabilityinverse problemsolvabilitycontrol problemmixed cloaking strategy

Mathematics Subject Classification ID

Thermal effects in solid mechanics (74F05) Inverse problems in equilibrium solid mechanics (74G75) Optimization of other properties in solid mechanics (74P10) Uniqueness of solutions of equilibrium problems in solid mechanics (74G30) Diffusive and convective heat and mass transfer, heat flow (80A19) Existence of solutions of equilibrium problems in solid mechanics (74G22)

Related Items (6)

On optimal cloaking-by-mapping transformations ⋮ Unnamed Item ⋮ Optimization approach for axisymmetric electric field cloaking and shielding ⋮ Numerical analysis of two-dimensional magnetic cloaking problems based on an optimization method ⋮ Optimization method in material bodies cloaking with respect to static physical fields ⋮ Optimization method for axisymmetric problems of electric cloaking of material bodies

Cites Work

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• Analysis and optimization in problems of cloaking of material bodies for the Maxwell equations
• Stability of solutions to extremum problems for the nonlinear convection-diffusion-reaction equation with the Dirichlet condition
• Stability estimates in the problem of cloaking material bodies for Maxwell's equations
• Direct and inverse problems of high-viscosity fluid dynamics
• Numerical methods for solving inverse problems of mathematical physics.
• Stability estimates in identification problems for the convection-diffusion-reaction equation
• Numerical reconstruction of the boundary heat flux for the stationary equations of heat convection
• Optical Conformal Mapping
• Controlling Electromagnetic Fields

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