Multifrequency Iterative Methods for the Inverse Medium Scattering Problems in Elasticity

DOI10.1137/18M1220844zbMath1429.35068arXiv1902.04123OpenAlexW2961739981WikidataQ127469792 ScholiaQ127469792MaRDI QIDQ5230637

Tao Yin, Gang Bao, Fang Zeng

Publication date: 28 August 2019

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04123

zbMATH Keywords

elastic scatteringLamé parametersinverse medium problemsmultifrequency measurementsLandweber iterative algorithmsreconstruction of elastic parameters

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) Inverse problems for PDEs (35R30) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21)

Related Items (4)

Application of the generalized multiscale finite element method in an inverse random source problem ⋮ Mathematical analysis and numerical methods for inverse scattering problems ⋮ An Inversion Scheme for Elastic Diffraction Tomography Based on Mode Separation ⋮ A Bayesian level set method for the shape reconstruction of inverse scattering problems in elasticity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements
• A multi-frequency inverse source problem
• Non-reflecting boundary conditions for elastic waves
• Iterative regularization methods for nonlinear ill-posed problems
• Numerical solution of an inverse medium scattering problem for Maxwell's equations at fixed frequency
• Global uniqueness for an inverse boundary problem arising in elasticity
• Inverse source problems in electrodynamics
• Direct and inverse elastic scattering from anisotropic media
• A convergence analysis of the Landweber iteration for nonlinear ill-posed problems
• Inverse obstacle scattering for elastic waves in three dimensions
• Stability for the multifrequency inverse medium problem
• Increasing stability for the inverse source scattering problem with multi-frequencies
• Increasing stability in the inverse source problem with many frequencies
• Inverse obstacle scattering for elastic waves
• Stable Determination of an Inclusion in an Elastic Body by Boundary Measurements
• Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves
• Error Estimates for the Recurisvie Linearization of Inverse Medium Problems
• Inversion Formulas for the Linearized Problem for an Inverse Boundary Value Problem in Elastic Prospection
• Inverse scattering problems with multi-frequencies
• Identification of Lame coefficients from boundary observations
• Identification of Lame Parameters by Boundary Measurements
• On the inverse boundary value problem for linear isotropic elasticity
• Increasing Stability in the Inverse Source Problem with Attenuation and Many Frequencies
• Inverse source problems in elastodynamics
• Inverse Problems at the Boundary for an Elastic Medium
• Inverse medium scattering for three-dimensional time harmonic Maxwell equations
• Global uniqueness in inverse boundary value problems for the Navier–Stokes equations and Lamé system in two dimensions
• Mathematical Methods in Elasticity Imaging
• Inverse Medium Scattering Problems for Electromagnetic Waves
• Inverse medium scattering for the Helmholtz equation at fixed frequency

This page was built for publication: Multifrequency Iterative Methods for the Inverse Medium Scattering Problems in Elasticity