An optimization approach to a three-dimensional acoustic inverse problem in the time domain

DOI10.1063/1.530945zbMath0842.76076OpenAlexW2018395614MaRDI QIDQ4873261

Sailing He, Sergey I. Kabanikhin

Publication date: 4 August 1996

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

Full work available at URL: https://doi.org/10.1063/1.530945

zbMATH Keywords

uniquenessconjugate gradient methoddual functiongradient of objective functional

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Hydro- and aero-acoustics (76Q05) Methods of reduced gradient type (90C52)

Related Items (6)

CPU-time and RAM memory optimization for solving dynamic inverse problems using gradient-based approach ⋮ An algorithm for recovering the characteristics of the initial state of supernova ⋮ Resolving power of algorithm for solving the coefficient inverse problem for the geoelectric equation ⋮ Numerics of acoustical 2D tomography based on the conservation laws ⋮ Methods for solving dynamic inverse problems for hyperbolic equations ⋮ A direct optimization approach to the two-dimensional acoustic inverse problem in the time domain

Cites Work

• Problem of determining the speed of sound
• Boundary control, wave field continuation and inverse problems for the wave equation
• Factorization of the wave equation in higher dimensions
• Invariant imbedding and wave splitting in R ³  : II. The Green function approach to inverse scattering
• Wave splitting of the telegraph equation in R ³ and its application to inverse scattering

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