Optimization Method for Axisymmetric Problems of Electric Cloaking of Material Bodies

Inverse problems of designing spherical shells intended for cloaking material bodies in a stationary electric field are studied. By applying an optimization method, these problems are reduced to optimization ones in which the role of controls is played by components of the diagonal electrical conduc...

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Bibliographic Details
Published in:Computational mathematics and mathematical physics 2019-02, Vol.59 (2), p.207-223
Main Authors: Alekseev, G. V., Tereshko, D. A.
Format: Article
Language:English
Subjects:
Algorithms
Computational Mathematics and Numerical Analysis
Conductivity
Electric fields
Electrical resistivity
Inverse problems
Mathematics
Mathematics and Statistics
Numerical analysis
Optimization
Particle swarm optimization
Spherical shells
Tensors
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Summary:Inverse problems of designing spherical shells intended for cloaking material bodies in a stationary electric field are studied. By applying an optimization method, these problems are reduced to optimization ones in which the role of controls is played by components of the diagonal electrical conductivity tensor of the shell’s anisotropic material. The solvability of the direct and optimization problems is proved. A numerical algorithm based on particle swarm optimization is proposed for solving optimization problems, and numerical results are discussed.
ISSN:0965-5425
1555-6662
DOI:10.1134/S0965542519020027