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The regular methods for inverse gravity problem solving

E. N. Akimova, G. G. Skorik

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences

Abstract: For solving three-dimensional inverse gravity problem on reconstruction interface between two media with constant density regular methods are supposed. The methods of the solution contain two stage. On the first stage from measured gravity field the anomalous effect is selected with using regularizing technique. On the second stage the iteratively regularized Newton and Fletcher-Reevs processes are applied to solve the nonlinear integral equation of gravimetry. Results of model numerical experiments on parallel computing system MVS-1000 are demonstrated.

Keywords: inverse gravity problem, integral equation, parallel regular algorithms, parallel computing system MVS-1000.

UDC: 517.988.68

MSC: 65R30

Received July 17, 2008, published November 27, 2008

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