Computational Mathematics and Modeling

, Volume 27, Issue 1, pp 36–43 | Cite as

Three-Dimensional Potential Continuation Problem

  • V. I. Dmitriev
  • I. V. Dmitrieva

An iterative method is proposed for three-dimensional continuation of the potential toward the sources. The method is subjected to detailed numerical analysis. It is shown that the method produces a stable continuation of the potential in the case of data with errors.


Integral equations of first kind analytical continuation gravity gradiometry gravimetry 


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    V. B. Glasko, E. A. Mudretsova, and V. N. Strakhov, “Inverse problem of gravimetry and magnetometry,” in: Ill-Posed Problems in Natural Sciences [in Russian], Izd. MGU, Moscow (1987), pp. 89–102.Google Scholar
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    V. I. Dmitriev and I. V. Dmitrieva, “Iterative method for analytical continuation of the gravity field,” Comput. Math. and Model., 23, No. 1, (2012).Google Scholar

Copyright information

© Springer Science+Business Media New York 2015

Authors and Affiliations

  1. 1.Faculty of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia

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