Economical method for solving two-dimensional problems of electrostatic cloaking

An economical numerical algorithm for solving a two-dimensional problem of electrostatic cloaking is proposed and implemented. The algorithm is based on the use of an $M$-layer shell, each layer of which is filled with one of two specified materials, while the material of the last layer is determined by minimizing a special quality functional associated with the cloaking efficiency of the desired shell.