Direct, Nonlinear Inversion Algorithm for Hyperbolic Problems via Projection-Based Model Reduction

DOI10.1137/15M1039432zbMath1346.86007arXiv1509.06603WikidataQ118126694 ScholiaQ118126694MaRDI QIDQ3188202

Andrew E. Thaler, Vladimir Druskin, Alexander V. Mamonov, Mikhail Zaslavsky

Publication date: 17 August 2016

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.06603

zbMATH Keywords

Galerkin methodmodel reductionfull waveform inversionoptimal gridsGel'fand-Levitanseismic reflection tomography

Mathematics Subject Classification ID

Inverse problems in geophysics (86A22) Inverse problems for PDEs (35R30) Interpolation in approximation theory (41A05) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (12)

Untangling the nonlinearity in inverse scattering with data-driven reduced order models ⋮ On extension of the data driven ROM inverse scattering framework to partially nonreciprocal arrays ⋮ Estimation of the Born data in inverse scattering of layered media ⋮ Waveform Inversion with a Data Driven Estimate of the Internal Wave ⋮ Robust nonlinear processing of active array data in inverse scattering via truncated reduced order models ⋮ Reduced Order Model Approach to Inverse Scattering ⋮ Multiscale S-Fraction Reduced-Order Models for Massive Wavefield Simulations ⋮ A Nonlinear Method for Imaging with Acoustic Waves Via Reduced Order Model Backprojection ⋮ A reduced order model approach to inverse scattering in lossy layered media ⋮ Lippmann–Schwinger–Lanczos algorithm for inverse scattering problems ⋮ Reduced order models for spectral domain inversion: embedding into the continuous problem and generation of internal data ⋮ Reduced order model approach for imaging with waves

Uses Software

• OPQ

Cites Work

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