Abstract
AbstractWe study inverse problems for the 2-D model of electrical conductivity that arise when designing circular shielding or cloaking shells used to control static electric fields. It is assumed that the shells consist of a finite number of circular layers filled with isotropic (inhomogeneous or homogeneous) media. By the optimization method our inverse problems are reduced to corresponding control problems in which the role of controls is played by the shell layer conductivities. A numerical algorithm based on the particle swarm optimization method is proposed for solving the control problems and some simulation results are discussed.
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