Inverse source problems in elastodynamics

DOI10.1088/1361-6420/aaaf7ezbMath1404.65137arXiv1708.04684OpenAlexW3102548234MaRDI QIDQ4638184

Guanghui Hu, Tao Yin, Gang Bao, Yavar Kian

Publication date: 3 May 2018

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04684

zbMATH Keywords

Fourier transformuniquenessLandweber iterationinverse source problemsLamé system

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Classical linear elasticity (74B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for inverse problems for initial value and initial-boundary value problems involving PDEs (65M32) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (14)

Stability in inverse problem of an elastic plate with a curved middle surface ⋮ Inverse source problems in electrodynamics ⋮ Uniqueness and stability for the recovery of a time-dependent source in elastodynamics ⋮ Reconstruction of Multiscale Elastic Sources from Multifrequency Sparse Far Field Patterns ⋮ Determination of source or initial values for acoustic equations with a time-fractional attenuation ⋮ Flow Measurement: An Inverse Problem Formulation ⋮ Uniqueness of inverse source problems for general evolution equations ⋮ Inverse moving source problems in electrodynamics ⋮ Numerical schemes to reconstruct three-dimensional time-dependent point sources of acoustic waves ⋮ On an inverse source problem for the Biot equations in electro-seismic imaging ⋮ Uniqueness to some inverse source problems for the wave equation in unbounded domains ⋮ Reconstruction and stable recovery of source terms and coefficients appearing in diffusion equations ⋮ Multifrequency Iterative Methods for the Inverse Medium Scattering Problems in Elasticity ⋮ On the Characterization of Nonradiating Sources for the Elastic Waves in Anisotropic Inhomogeneous Media

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