2D and 3D algorithms of introcontinuation

Authors

  • Yu.V. Glasko Lomonosov Moscow State University

DOI:

https://doi.org/10.26089/NumMet.v17r327

Keywords:

introcontinuation, Berezkin’s complete normalized gradient, finite-difference complete normalized gradient, Dirichlet problem, Laplace equation, Poisson equation, mathematical model, inverse problem

Abstract

The introcontinuation of a potential field for the localization of sources in the field’s anomalies is discussed. A mathematical model of the field is proposed on the basis of the Dirichlet problem with a condition on the day surface. New 2D and 3D algorithms are developed to determine the critical points for the field continued into the lower half-plane. These algorithms are based on a finite-difference approximation of Berezkin’s complete normalized gradient and on the determination of its critical points. Two versions of the finite-difference introcontinuation reduce a priori information requiring for the algorithms. A model experiment for the areal version (3D) procedure is considered to illustrate the determination of objects by the observed gravity field.

Author Biography

Yu.V. Glasko

References

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Published

17-07-2016

How to Cite

Гласко Ю. 2D and 3D Algorithms of Introcontinuation // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2016. 17. 291-298. doi 10.26089/NumMet.v17r327

Issue

Section

Section 1. Numerical methods and applications