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BOUNDARY ELEMENT METHOD FOR THE ARBITRARY INHOMOGENEITIES PROBLEM IN ELECTRICAL PROSPECTING *
Author(s) -
OKABE M.
Publication year - 1981
Publication title -
geophysical prospecting
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.735
H-Index - 79
eISSN - 1365-2478
pISSN - 0016-8025
DOI - 10.1111/j.1365-2478.1981.tb01010.x
Subject(s) - fredholm integral equation , integral equation , mathematical analysis , boundary element method , prospecting , electric field integral equation , surface (topology) , boundary value problem , mathematics , physics , geology , finite element method , geometry , thermodynamics , mining engineering
A bstract The generalized integral equation for the electric potential governed by a quasi‐harmonic equation can be derived via a variational formulation. For surface current distributions it is not always a Fredholm integral equation of the second kind. Numerical solutions of the general heterogeneous problem can be obtained with the “reciprocal averaging technique”, where the solution is obtained a second time after exchange of source and field points.