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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| Veröffentlicht in: | Computational mathematics and mathematical physics 2019-02, Vol.59 (2), p.207-223 |
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| container_title | Computational mathematics and mathematical physics |
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| creator | Alekseev, G. V. Tereshko, D. A. |
| description | 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. |
| doi_str_mv | 10.1134/S0965542519020027 |
| format | Article |
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| 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 |
| title | Optimization Method for Axisymmetric Problems of Electric Cloaking of Material Bodies |
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