An iterative method for simultaneous determination of bulk and shear moduli and density variations

DOI10.1016/0021-9991(86)90104-XzbMath0574.73035OpenAlexW2056927277MaRDI QIDQ1063443

Yung Ming Chen, Ganquan Xie

Publication date: 1986

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(86)90104-x

zbMATH Keywords

Laplace transformsNumerical simulationsTikhonov regularizationtrapezoidal ruleintegral equations of first kinditerative numerical methodcoarse computational gridsdetermine simultaneously two-dimensional and three-dimensional bulk and shear moduli and density variations from surface datadiscretized into algebraic system with first order accuracygeneral characteristicsinitial-boundary value problem of hyperbolic system transformed into positive-definite elliptic boundary value problempulse-spectrum technique (PST)reasonably good resultsthree- parameter inverse problems of two-dimensional and three-dimensional linear elastic wave equations

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Wave equation (35L05) Inverse problems for waves in solid mechanics (74J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05) Numerical and other methods in solid mechanics (74S99)

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• An iterative algorithm for solving inverse problems in structural dynamics

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