Fast Toeplitz linear system inversion for solving two-dimensional acoustic inverse problem
From MaRDI portal
Publication:896613
DOI10.1515/jiip-2015-0083zbMath1327.65184OpenAlexW2565148001MaRDI QIDQ896613
Sergey I. Kabanikhin, Nikita S. Novikov, Maxim A. Shishlenin, Ivan V. Oseledets
Publication date: 10 December 2015
Published in: Journal of Inverse and Ill-Posed Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/jiip-2015-0083
Numerical methods for integral equations (65R20) Direct numerical methods for linear systems and matrix inversion (65F05) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32)
Related Items (21)
CPU-time and RAM memory optimization for solving dynamic inverse problems using gradient-based approach ⋮ Solving a 1-D inverse medium scattering problem using a new multi-frequency globally strictly convex objective functional ⋮ Convexification Numerical Method for a Coefficient Inverse Problem for the Riemannian Radiative Transfer Equation ⋮ Convexification for a 1D hyperbolic coefficient inverse problem with single measurement data ⋮ Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation ⋮ Convexification and experimental data for a 3D inverse scattering problem with the moving point source ⋮ Solving of the coefficient inverse problem for a nonlinear singularly perturbed two-dimensional reaction-diffusion equation with the location of moving front data ⋮ Convexification of a 3-D coefficient inverse scattering problem ⋮ Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data ⋮ A Coefficient Inverse Problem with a Single Measurement of Phaseless Scattering Data ⋮ Convexification for a Three-Dimensional Inverse Scattering Problem with the Moving Point Source ⋮ On the inversion of the block double-structured and of the triple-structured Toeplitz matrices and on the corresponding reflection coefficients ⋮ An inverse problem of a simultaneous reconstruction of the dielectric constant and conductivity from experimental backscattering data ⋮ Numerics of acoustical 2D tomography based on the conservation laws ⋮ Asymptotic analysis of solving an inverse boundary value problem for a nonlinear singularly perturbed time-periodic reaction-diffusion-advection equation ⋮ A new version of the convexification method for a 1D coefficient inverse problem with experimental data ⋮ Travel time tomography with formally determined incomplete data in 3D ⋮ Linear Lavrent'ev Integral Equation for the Numerical Solution of a Nonlinear Coefficient Inverse Problem ⋮ A Numerical Method to Solve a Phaseless Coefficient Inverse Problem from a Single Measurement of Experimental Data ⋮ Convexification for the Inversion of a Time Dependent Wave Front in a Heterogeneous Medium ⋮ On the structure of the inverse to Toeplitz-block Toeplitz matrices and of the corresponding polynomial reflection coefficients
This page was built for publication: Fast Toeplitz linear system inversion for solving two-dimensional acoustic inverse problem
