piecewise-homogeneous object

The effectiveness of the indirect method of near-boundary elements (as a variant of the method of boundary integral equations) for constructing numerical solutions of direct and inverse problems of potential theory in a limited piecewise homogeneous object of arbitrary shape whose components are in ideal contact is substantiated.  The integral representation of the solution of the direct problem is constructed using the fundamental solution of the Laplace equation for the plane.  To find the intensities of unknown sources introduced in the near-boundary elements, the co

In this paper, a generalized scheme for finding solutions of potential theory problems in two-dimensional piecewise-homogeneous media containing local regions with coordinate-dependent physical characteristics has been presented.  To describe the additional influence of these local areas, along with the indirect methods of near-boundary and contact elements, a non-classical finite-difference method based on asymmetric finite-difference relations has been used.  The software implementation of the developed approach for finding the potential of the direct current electric