Boundary control and Gel'fand–Levitan–Krein methods in inverse acoustic problem

DOI10.1515/1569394042530900zbMath1051.35107OpenAlexW2018301333MaRDI QIDQ4818228

Maxim A. Shishlenin, Sergey I. Kabanikhin

Publication date: 27 September 2004

Published in: Journal of Inverse and Ill-posed Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/1569394042530900

zbMATH Keywords

numerical resultsacoustic wave equationboundary control methodGel'fand-Levitan-Krein method

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Wave equation (35L05)

Related Items (6)

Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data ⋮ The Krein method and the globally convergent method for experimental data ⋮ On \(t\)-local solvability of inverse scattering problems in two-dimensional layered media ⋮ Solution of an inverse scattering problem for the acoustic wave equation in three-dimensional media ⋮ Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation ⋮ Numerical algorithm for two-dimensional inverse acoustic problem based on Gel'fand–Levitan–Krein equation

Cites Work

• Unnamed Item
• Identification problems of wave phenomena. Theory and numerics
• An inverse problem for the wave equation in the half plane
• A Simple Computational Scheme for Determining the Sound Speed of an Acoustic Medium from Its Surface Impulse Response

This page was built for publication: Boundary control and Gel'fand–Levitan–Krein methods in inverse acoustic problem