Acoustic inverse scattering via Helmholtz operator factorization and optimization

DOI10.1016/j.jcp.2010.07.027zbMath1201.65193OpenAlexW2097822652MaRDI QIDQ602944

Maarten V. de Hoop, Shen Wang, Jian-Lin Xia

Publication date: 5 November 2010

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2010.07.027

zbMATH Keywords

optimizationcomplexitynumerical examplesfinite difference schemeHelmholtz equationsmatrix factorizationsimagingacoustic/seismic inverse scatteringHelmholtz solverstructured multifrontal methodwave-equation tomography

Mathematics Subject Classification ID

Seismology (including tsunami modeling), earthquakes (86A15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (8)

A Helmholtz equation solver using unsupervised learning: application to transcranial ultrasound ⋮ Fast Algorithms for High Frequency Wave Propagation ⋮ An improved two-grid preconditioner for the solution of three-dimensional Helmholtz problems in heterogeneous media ⋮ A Class of Iterative Solvers for the Helmholtz Equation: Factorizations, Sweeping Preconditioners, Source Transfer, Single Layer Potentials, Polarized Traces, and Optimized Schwarz Methods ⋮ A pure source transfer domain decomposition method for Helmholtz equations in unbounded domain ⋮ A Geometric Multigrid Preconditioner for the Solution of the Helmholtz Equation in Three-Dimensional Heterogeneous Media on Massively Parallel Computers ⋮ Interconnected hierarchical structures for fast direct elliptic solution ⋮ A Parallel Geometric Multifrontal Solver Using Hierarchically Semiseparable Structure

Uses Software

• JDQR
• JDQZ

Cites Work

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