Geodesic
The regular methods for inverse gravity problem solving
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 509-517

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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. 
@article{SEMR_2008_5_a44,
     author = {E. N. Akimova and G. G. Skorik},
     title = {The regular methods for inverse gravity problem solving},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {509--517},
     publisher = {mathdoc},
     volume = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2008_5_a44/}
}
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E. N. Akimova; G. G. Skorik. The regular methods for inverse gravity problem solving. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 509-517. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a44/