Advertisement

Computational Mathematics and Modeling

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

Three-Dimensional Potential Continuation Problem

  • V. I. Dmitriev
  • I. V. Dmitrieva
Article
  • 31 Downloads

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.

Keywords

Integral equations of first kind analytical continuation gravity gradiometry gravimetry 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. N. Tikhonov and V. Ya. Arsenin, Methods of Solution of Ill-Posed Problems [in Russian], Nauka, Moscow (1979).Google Scholar
  2. 2.
    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
  3. 3.
    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

Personalised recommendations