Calculation of electromagnetic anomalies of perfectly conducting bodies by integral equations

Oksama, M.; Suppala, I.

doi:10.1016/0926-9851(93)90027-v

Cited by 2 publications

(3 citation statements)

References 11 publications

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“…Eskola et al (1993) illustrate this type of numerical instability in computing the magnetic field due to relatively thin tabular bodies in a static magnetic field. It can reasonably be expected that the approach proposed by Oksama and Suppala (1993) will display the same type of problem.…”

Section: The General Problemmentioning

confidence: 97%

“…It is noted that in the translation from the general form of the original equations to these specialized thin body equations, there has been a reduction in the number of unknowns by one-half. The integral equation technique of Phillips (1934) as well as thar of Oksama and Suppala (1993) are incapable of specialization for thin bodies in the manner ourlined above.…”

Section: The General Problemmentioning

confidence: 99%

“…An integral equation solution to the present problem was recently elaborated by Oksama and Suppala (1993) in an electromagnetic context. However, their technique is not without shortcomings.…”

Section: Introductionmentioning

confidence: 99%

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An integral equation for the homogeneous Neumann condition¹

Furness

1996

Geophysical Prospecting

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Modelling the theoretical response of several important geophysical systems involves the solution of Poisson's equation with homogeneous Neumann boundary conditions (i.e. a zero normal gradient) imposed over either open or closed surfaces.A simple integral equation solution to this problem is derived from first principles. It is applicable to both types of surface and in this respect represents an improvement on existing integral equation techniques. However, the present surface integral equation displays a strong singularity of order 1/R3 which requires an appropriate interpretation for its implementation.A comparison of some numerical results with analytical data taken from the literature demonstrates that the proposed integral equation technique is suitably robust, accurate and efficient for practical application in geophysical interpretation.

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Section: The General Problemmentioning

confidence: 97%

Section: The General Problemmentioning

confidence: 99%