Numerical testing in determination of sound speed from a part of boundary by the BC-method

DOI10.1515/JIIP-2015-0052zbMath1336.65156arXiv1505.06176OpenAlexW2963097408MaRDI QIDQ278026

Vladimir S. Semenov, Mikhail I. Belishev, Igor V. Kubyshkin, Ivan B. Ivanov

Publication date: 2 May 2016

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

Full work available at URL: https://arxiv.org/abs/1505.06176

zbMATH Keywords

acoustic equationboundary control methoddetermination from part of boundarytime-domain inverse problem

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Hydro- and aero-acoustics (76Q05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

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Regularization of the boundary control method for numerical solutions of the inverse problem for an acoustic wave equation ⋮ Numerical solution to a three-dimensional coefficient inverse problem for the wave equation with integral data in a cylindrical domain ⋮ Linearized boundary control method for an acoustic inverse boundary value problem ⋮ Fast numerical method of solving 3D coefficient inverse problem for wave equation with integral data ⋮ Convexification of restricted Dirichlet-to-Neumann map ⋮ Recovery of a Smooth Metric via Wave Field and Coordinate Transformation Reconstruction ⋮ Gelfand's inverse problem for the graph Laplacian ⋮ Inverse Problems for Discrete Heat Equations and Random Walks for a Class of Graphs ⋮ New notions and constructions of the boundary control method ⋮ Simplest test for the three-dimensional dynamical inverse problem (the BC-Method) ⋮ Uniqueness for the inverse boundary value problem of piecewise homogeneous anisotropic elasticity in the time domain ⋮ Reconstruction of piecewise smooth wave speeds using multiple scattering ⋮ Simplest test for the two-dimensional dynamical inverse problem (BC-Method) ⋮ A stable non-iterative reconstruction algorithm for the acoustic inverse boundary value problem

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