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

2D and 3D algorithms of introcontinuation

Authors

  • Yu.V. Glasko

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.

New computational technologies

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Published

2016-07-17

Issue

Vol. 17 (2016): Issue 3.

Section

Section 1. Numerical methods and applications

Author Biography

Yu.V. Glasko

Lomonosov Moscow State University,
Research Computing Center
• Lead Mathematician

References

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