Potential field modeling by combination of near-boundary and contact elements with non-classical finite differences in a heterogeneous medium
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