Perfectly matched layers in static fields

A perfectly matched layer technique is proposed in the paper for taking unbounded regions in static fields into account by means of the finite element method. The absorbing layer is an anisotropic medium having a nonphysical relative permittivity below one in the direction normal to the boundary with the relative permittivity in the tangential direction equal to the reciprocal of this value. A 2D problem with an analytical solution is solved to demonstrate the technique.