A parallel radial bisection algorithm for inverse scattering problems

DOI10.1080/17415977.2012.686498zbMath1269.65116OpenAlexW1977379611MaRDI QIDQ5300391

Keji Liu, Jun Zou, Yongzhi Xu

Publication date: 27 June 2013

Published in: Inverse Problems in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17415977.2012.686498

zbMATH Keywords

algorithminverse problemnumerical examplesparallel computationHelmholtz equationintegral equation methodoptimal computational complexityreconstruction methodsinverse obstacle scattering problemsradial bisection method

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Parallel numerical computation (65Y05) Complexity and performance of numerical algorithms (65Y20) Boundary element methods for boundary value problems involving PDEs (65N38) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Inverse problems (including inverse scattering) in optics and electromagnetic theory (78A46)

Related Items (12)

Imaging wave-penetrable objects in a finite depth ocean ⋮ A multilevel sampling method for detecting sources in a stratified ocean waveguide ⋮ Reconstruction of scatterers with four different boundary conditions by T-matrix method ⋮ Two direct factorization methods for inverse scattering problems ⋮ On the inverse problem and Sobolev estimates of the generalized X-ray transform ⋮ The stability estimates of the inverse problem for the weighted Radon transform ⋮ Two effective post-filtering strategies for improving direct sampling methods ⋮ Direct recovery of wave-penetrable scatterers in a stratified ocean waveguide ⋮ Phased and Phaseless Domain Reconstructions in the Inverse Scattering Problem via Scattering Coefficients ⋮ A numerical study of single source localization algorithms for phaseless inverse scattering problems ⋮ An adaptive quadrature-based factorization method for inverse acoustic scattering problems ⋮ An extended direct factorization method for inverse scattering with limited aperture data

Cites Work

• The direct and inverse scattering problems for partially coated obstacles
• AN APPROXIMATE BOUNDARY INTEGRAL METHOD FOR ACOUSTIC SCATTERING IN SHALLOW OCEANS
• Strengthened Linear Sampling Method with a Reference Ball
• The propagating solutions and far-field patterns for acoustic harmonic waves in a finite depth ocean
• A Numerical Study of the Probe Method
• Multilevel Linear Sampling Method for Inverse Scattering Problems
• Reconstruction of the shape of the inclusion by boundary measurements
• Generalized dual space indicator method for underwater imaging
• An application of the reciprocity gap functional to inverse scattering theory
• A simple method for solving inverse scattering problems in the resonance region
• A survey on sampling and probe methods for inverse problems
• Using fundamental solutions in inverse scattering

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