indirect near-boundary element method

Algorithm for determining inclusion parameters in solving inverse problems of geoelectrical exploration using the profiling method

The paper aims to develop an algorithm for recognizing the physical and geometric parameters of inclusion, using indirect methods of boundary, near-boundary, and partially-boundary elements based on the data of the potential field. Methodology. The direct and inverse two-dimensional problems of the potential theory concerning geophysics were solved when modeling the earth's crust with a piecewise-homogeneous half-plane composed of a containing medium and inclusion that are an ideal contact.

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

Solving 3d problems of potential theory in piecewise homogeneous media by using indirect boundary and near-boundary element methods

Effective numerical-analytical approaches for solving the direct problem of electrical prospecting for the media with inclusions of arbitrary shape and constant electrical characteristics are suggested. They are based on the combination of a fundamental solution of Laplase’s equation and principal ideas of the method of boundary integral equations and that of collocation.