An iterative method for 2D inverse scattering problems by alternating reconstruction of medium properties and wavefields: theory and application to the inversion of elastic waveforms

DOI10.1088/1361-6420/aa5739zbMath1371.35354OpenAlexW2570609178MaRDI QIDQ2977544

Gabrio Rizzuti, A. Gisolf

Publication date: 18 April 2017

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

Full work available at URL: https://doi.org/10.1088/1361-6420/aa5739

zbMATH Keywords

elasticwave equationseismic imagingfull-waveform inversion

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Second-order hyperbolic systems (35L51)

Related Items (2)

Solving a 1-D inverse medium scattering problem using a new multi-frequency globally strictly convex objective functional ⋮ Convexification for the Inversion of a Time Dependent Wave Front in a Heterogeneous Medium

Uses Software

• symrcm

Cites Work

• Three-dimensional visco-acoustic modeling using a renormalized integral equation iterative solver
• Anderson acceleration of the Jacobi iterative method: an efficient alternative to Krylov methods for large, sparse linear systems
• An over-relaxation method for the iterative solution of integral equations in scattering problems
• Multigrid-based `shifted-Laplacian' preconditioning for the time-harmonic elastic wave equation
• A CG-FFT approach to the solution of a stress-velocity formulation of three-dimensional elastic scattering problems
• Separable nonlinear least squares: the variable projection method and its applications
• Nonuniqueness in inverse source and scattering problems
• On optimization techniques for solving nonlinear inverse problems

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