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RECIPROCAL AVERAGING TECHNIQUES IN THE GEOELECTRICAL BOUNDARY ELEMENT APPROACH *
Author(s) -
OKABE M.
Publication year - 1982
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.1365-2478.1982.tb01332.x
Subject(s) - fredholm integral equation , reciprocal , integral equation , isotropy , boundary element method , mathematical analysis , constraint (computer aided design) , surface (topology) , mathematics , boundary (topology) , residual , charge density , physics , geometry , finite element method , optics , thermodynamics , algorithm , philosophy , linguistics , quantum mechanics
A bstract A Fredholm integral equation of the first kind with respect to the surface charge density is presented via a weighted residual formulation in the standard isotropic problem. The surface charge densities are numerically obtained by solving the well‐known Fredholm integral equation of the second kind, where the new equation can be regarded as a constraint. The accuracy of boundary element solutions is examined in connection with the violation of such a constraint and the “modified reciprocal averaging techniques” are proposed.