Numerical scheme for the inversion of acoustical impedance profile based on the Gelfand‐Levitan method

Fadil Santosa

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

Summary. An exact method for the solution of the inverse problem in plane wave propagation modelled after the Gelfand‐Levitan technique is reviewed and refined. A numerical scheme for the solution of the integral equation that arises in the method is proposed. A discussion on the stability and an error analysis of the numerical approximation are presented. The applicability of the inversion algorithm is demonstrated in a numerical experiment.

Original languageEnglish (US)
Pages (from-to)229-243
Number of pages15
JournalGeophysical Journal of the Royal Astronomical Society
Volume70
Issue number1
DOIs
StatePublished - Jul 1982

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Convergence of numerical methods
error analysis
Inverse problems
Error analysis
Wave propagation
Integral equations
integral equations
wave propagation
plane waves
impedance
inversions
inverse problem
profiles
approximation
Experiments
experiment
inversion
method

Cite this

Numerical scheme for the inversion of acoustical impedance profile based on the Gelfand‐Levitan method. / Santosa, Fadil.

In: Geophysical Journal of the Royal Astronomical Society, Vol. 70, No. 1, 07.1982, p. 229-243.

Research output: Contribution to journalArticle

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