Travel time tomography with formally determined incomplete data in 3D

DOI10.3934/ipi.2019060zbMath1427.35362arXiv1904.06610OpenAlexW2980454266MaRDI QIDQ2282750

Michael V. Klibanov

Publication date: 19 December 2019

Published in: Inverse Problems and Imaging (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.06610

zbMATH Keywords

convexificationLipschitz stabilityinverse kinematic problemglobally convergent numerical methodCarleman-like estimate for the Volterra operator

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)

Related Items (8)

CPU-time and RAM memory optimization for solving dynamic inverse problems using gradient-based approach ⋮ Numerical viscosity solutions to Hamilton-Jacobi equations via a Carleman estimate and the convexification method ⋮ Numerical solution of the 3-D travel time tomography problem ⋮ The Carleman convexification method for Hamilton-Jacobi equations ⋮ Numerical Solution of a Linearized Travel Time Tomography Problem With Incomplete Data ⋮ The accuracy of numerical simulation of the acoustic wave propagations in a liquid medium based on Navier-Stokes equations ⋮ On the travel time tomography problem in 3D ⋮ Research biography of a distinguished expert in the field of inverse problems: Professor Michael Victor Klibanov

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