On a three-dimensional problem of diagnostics in the wave approximation.
type: Item
instance of: scholarly article
title: On a three-dimensional problem of diagnostics in the wave approximation.
zbMATH Open document ID: 1136.93327
published in: Computational Mathematics and Mathematical Physics
publication date: 2002-08-12T00:00:00Z
review text: In this paper the authors consider the problem of nonhomogeneity identification in homogeneous physical media by observations on propagation through these media of the fields described by the scalar wave model. An explicit analytical expression is obtained for the inverse operator. Such problems are of considerable practical importance for nondestructive control, diagnostics, and geoexploration.
Mathematics Subject Classification ID: 93B30
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35L10
Mathematics Subject Classification ID: 86A22
zbMATH DE Number: 1779273
zbMATH Keywords: nonhomogeneity identification
zbMATH Keywords: propagation of radiation
zbMATH Keywords: media
zbMATH Keywords: wave model
zbMATH Keywords: inverse problem
zbMATH Keywords: hyperbolic equation
zbMATH Keywords: regularization
zbMATH Keywords: approximate solution
zbMATH Keywords: method
author: A. V. Goncharskij
author: S. Yu. Romanov
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1779273