An Iterative Method for Solving Inverse Problems of a Nonlinear Wave Equation

DOI10.1137/0904011zbMath0513.65070OpenAlexW1978827260MaRDI QIDQ3659073

Yung Ming Chen, Robert P. Hatcher

Publication date: 1983

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0904011

zbMATH Keywords

inverse problemsiterative methodnonlinear wave equationnumerical simulationpulse-spectrum techniquefinite-amplitude acoustic wavesremote sensing of the ocean sound velocity profile

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Applications to the sciences (65Z05) Higher-order nonlinear hyperbolic equations (35L75) Numerical methods for partial differential equations, boundary value problems (65N99)

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Iterative inverse scattering method employing Gram-Schmidt orthogonalization ⋮ A widely convergent generalized pulse-spectrum technique for the inversion of two-dimensional acoustic wave equation ⋮ Efficiency improvement of GPST inversion algorithm ⋮ A widely convergent generalized pulse-spectrum technique for the coefficient inverse problem of differential equations ⋮ Hierarchical multigrid strategy for efficiency improvement of the GPST inversion algorithm ⋮ An iterative numerical algorithm for solving multi-parameter inverse problems of evolutional partial differential equations ⋮ A numerical algorithm for solving inverse problems of two-dimensional wave equations ⋮ A modified pulse-spectrum technique for solving inverse problems of two- dimensional elastic wave equation ⋮ An iterative method for simultaneous determination of bulk and shear moduli and density variations

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