An iterative method for simultaneous determination of bulk and shear moduli and density variations
type: Item
instance of: scholarly article
title: An iterative method for simultaneous determination of bulk and shear moduli and density variations
zbMATH Open document ID: 0574.73035
DOI: 10.1016/0021-9991(86)90104-X
published in: Journal of Computational Physics
publication date: 1986-01-01T00:00:00Z
review text: The pulse-spectrum technique (PST), an iterative numerical method, is extended to solve the three-parameter inverse problems of two-dimensional and three-dimensional linear elastic wave equations, i.e., to determine simultaneously two-dimensional and three-dimensional bulk and shear moduli and density variations from surface data. Numerical simulations of simple but non-trivial examples are carried out on coarse computational grids to test the feasibility and to study the general characteristics of PST without the real measurement data. It is found that PST under these conditions does give reasonably good results. Moreover, a comprehensive discussion of the numerical results, their implication in actual implementing of PST, and the future improvement on PST to attend higher resolution with little additional computing costs is given.
Mathematics Subject Classification ID: 74J25
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 74S99
zbMATH DE Number: 3917820
zbMATH Keywords: initial-boundary value problem of hyperbolic system transformed into positive-definite elliptic boundary value problem
zbMATH Keywords: discretized into algebraic system with first order accuracy
zbMATH Keywords: integral equations of first kind
zbMATH Keywords: trapezoidal rule
zbMATH Keywords: Laplace transforms
zbMATH Keywords: Tikhonov regularization
zbMATH Keywords: pulse-spectrum technique (PST)
zbMATH Keywords: iterative numerical method
zbMATH Keywords: three- parameter inverse problems of two-dimensional and three-dimensional linear elastic wave equations
zbMATH Keywords: determine simultaneously two-dimensional and three-dimensional bulk and shear moduli and density variations from surface data
zbMATH Keywords: Numerical simulations
zbMATH Keywords: coarse computational grids
zbMATH Keywords: general characteristics
zbMATH Keywords: reasonably good results
author: Yung Ming Chen
author: Ganquan Xie
MaRDI profile type: Publication
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full work available at URL: 0021-9991(86)90104-x
OpenAlex ID: W2056927277
description: scientific article; zbMATH DE number 3917820