Full Waveform Inversion and the Truncated Newton Method

DOI10.1137/16M1093239zbMath1357.86001MaRDI QIDQ2960402

Ludovic Métivier, J. Virieux, Stéphane Operto, Romain Brossier

Publication date: 9 February 2017

Published in: SIAM Review (Search for Journal in Brave)

zbMATH Keywords

seismic imagingnumerical optimizationfull waveform inversionlarge-scale inverse problems

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Large-scale problems in mathematical programming (90C06) Newton-type methods (49M15) Seismology (including tsunami modeling), earthquakes (86A15) Inverse problems for PDEs (35R30) Numerical methods for wavelets (65T60) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Computational methods for problems pertaining to geophysics (86-08) Application of orthogonal and other special functions (94A11)

Related Items (12)

Optimal convergence of finite element approximation to an optimization problem with PDE constraint* ⋮ Convergence analysis of a coefficient inverse problem for the semi-discrete damped wave equation ⋮ Inner product preconditioned trust-region methods for frequency-domain full waveform inversion ⋮ Multigrid-Augmented Deep Learning Preconditioners for the Helmholtz Equation ⋮ Multimodal 3D Shape Reconstruction under Calibration Uncertainty Using Parametric Level Set Methods ⋮ A hybrid shifted Laplacian multigrid and domain decomposition preconditioner for the elastic Helmholtz equations ⋮ Unnamed Item ⋮ Acoustic multi-parameter full waveform inversion based on the wavelet method ⋮ Full waveform inversion with sparse structure constrained regularization ⋮ Subspace Methods in Multi-Parameter Seismic Full Waveform Inversion ⋮ Full Waveform Inversion Using Extended and Simultaneous Sources ⋮ Space-time discontinuous Petrov-Galerkin methods for linear wave equations in heterogeneous media

Uses Software

• L-BFGS
• MUMPS
• PLCP
• tn
• LBFGS-B
• SQPlab
• BLZPACK
• SEISCOPE
• HSL-VF05

Cites Work

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• Application of the Wasserstein metric to seismic signals
• A perfectly matched layer for the absorption of electromagnetic waves
• Multifrontal parallel distributed symmetric and unsymmetric solvers
• A survey of truncated-Newton methods
• Preconditioning techniques for large linear systems: A survey
• Incomplete LU preconditioning for large scale dense complex linear systems from electromagnetic wave scattering problems
• Matrix computation and the theory of moments
• An optimal transport approach for seismic tomography: application to 3D full waveform inversion
• A Newton-CG method for large-scale three-dimensional elastic full-waveform seismic inversion
• The Multifrontal Solution of Indefinite Sparse Symmetric Linear
• The Conjugate Gradient Method and Trust Regions in Large Scale Optimization
• Updating Quasi-Newton Matrices with Limited Storage
• A Numerical Study of the Limited Memory BFGS Method and the Truncated-Newton Method for Large Scale Optimization
• Numerical Optimization
• Automatic Preconditioning by Limited Memory Quasi-Newton Updating
• A Deflated Version of the Conjugate Gradient Algorithm
• Solving the Trust-Region Subproblem using the Lanczos Method
• A Limited Memory Algorithm for Bound Constrained Optimization
• Choosing the Forcing Terms in an Inexact Newton Method
• Utilisation des équations Euler-PML en milieu hétérogène borné pour la résolution d'un problème inverse en géophysique.
• A New Algorithm for Unconstrained Optimization
• Numerical optimization. Theoretical and practical aspects. Transl. from the French
• Enriched methods for large-scale unconstrained optimization

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