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Num. Meth. Prog., 2016, Volume 17, Issue 3, Pages 291–298 (Mi vmp836)  

This article is cited in 1 scientific paper (total in 1 paper)

2D and 3D algorithms of introcontinuation

Yu. V. Glasko

Lomonosov Moscow State University, Research Computing Center

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.

Keywords: introcontinuation, Berezkin's complete normalized gradient, finite-difference complete normalized gradient, Dirichlet problem, Laplace equation, Poisson equation, mathematical model, inverse problem.

Full text: PDF file (307 kB)
UDC: 519.6; 550.8
Received: 14.06.2016

Citation: Yu. V. Glasko, “2D and 3D algorithms of introcontinuation”, Num. Meth. Prog., 17:3 (2016), 291–298

Citation in format AMSBIB
\Bibitem{Gla16}
\by Yu.~V.~Glasko
\paper 2D and 3D algorithms of introcontinuation
\jour Num. Meth. Prog.
\yr 2016
\vol 17
\issue 3
\pages 291--298
\mathnet{http://mi.mathnet.ru/vmp836}


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  • http://mi.mathnet.ru/eng/vmp/v17/i3/p291

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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Yu. V. Glasko, “Obratnaya zadacha interpretatsii gravitatsionnoi i magnitnoi anomalii mestorozhdeniya uglevodorodov”, Sib. zhurn. industr. matem., 23:1 (2020), 46–57  mathnet  crossref
  • Numerical methods and programming
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