Optimization method in problems of manipulating DC currents

The inverse electrical conductivity problem associated with designing material shells for DC currents manipulating in an externally applied electric field is studied. As the original mathematical model the electrostatic potential equation for an anisotropic shell is used. With the help of the optimization method this inverse problem is reduced to the corresponding control problem. A numerical algorithm of its solution based on the particle swarm optimization is proposed and the results of numerical experiments are discussed.