Geophysical Journal | 2007 volume 29 1

Computer technologies of analytical extension of the assumed field values to the given horizontal layer, which completely lies higher than the field sources applying a method of discrete approximation of physical fields

© Arsanukayev Z.Z.

The problem of reconstruction of the field values in the given horizontal layer, which lies higher than the sources by the given values on the Earth's surface is solved by applying discrete approximations of differential Laplace operator and by elaboration of corresponding computer technologies. Therefore the problem of field reconstruction is reduced to the system of linear algebraic equations (SLAE). Stability of the solution of constructed SLAE is assured by the fact that several discrete Laplace approximations are being considered together at a time. Technique has been worked out for estimation of accuracy of field values being restored applying in model examples the bodies of simple geometric forms, for which the direct problem can be solved exactly. The effect of different factors on producing discrepancies in the field values being restored is also studied.

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