Direct Elastic Imaging of a Small Inclusion
From MaRDI portal
Publication:3183360
DOI10.1137/070696076zbMath1179.35341OpenAlexW2015528024MaRDI QIDQ3183360
Pierre Calmon, Ekaterina Iakovleva, Habib Ammari
Publication date: 19 October 2009
Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/070696076
Computing methodologies for image processing (68U10) Inverse problems for PDEs (35R30) Random materials and composite materials (74A40)
Related Items (23)
High Order Topological Asymptotics: Reconciling Layer Potentials and Compound Asymptotic Expansions ⋮ The Foldy-Lax approximation of the scattered waves by many small bodies for the Lamé system ⋮ Direct and inverse elastic scattering from anisotropic media ⋮ Numerical technique for the 3D microarchitecture design of elastic composites inspired by crystal symmetries ⋮ A numerical method to detect soft tissue injuries from tissue displacements ⋮ Boundary perturbations due to the presence of small linear cracks in an elastic body ⋮ Two-dimensional elastic scattering coefficients and enhancement of nearly elastic cloaking ⋮ Topological derivatives of shape functionals. part III: second-order method and applications ⋮ Reconstruction of Multiscale Elastic Sources from Multifrequency Sparse Far Field Patterns ⋮ A thick‐point approximation of a small body embedded in an elastic medium: justification with an asymptotic analysis ⋮ Detection of point-like scatterers using one type of scattered elastic waves ⋮ Extended Sampling Method for Inverse Elastic Scattering Problems Using One Incident Wave ⋮ AFM-based indentation stiffness tomography -- an asymptotic model ⋮ Detection, reconstruction, and characterization algorithms from noisy data in multistatic wave imaging ⋮ Topological sensitivity for vibro-acoustography applications ⋮ Damage and fracture evolution in brittle materials by shape optimization methods ⋮ Progress on the strong Eshelby's conjecture and extremal structures for the elastic moment tensor ⋮ Level Set Methods for Structural Inversion and Image Reconstruction ⋮ Numerical solution of an inverse initial boundary value problem for the wave equation in the presence of conductivity imperfections of small volume ⋮ Reconstruction of an ellipsoidal defect in anisotropic elastic solid, using results of one static test ⋮ On the Justification of the Foldy--Lax Approximation for the Acoustic Scattering by Small Rigid Bodies of Arbitrary Shapes ⋮ Sensitivity analysis for some inverse problems in linear elasticity via minimax differentiability ⋮ The topological gradient in anisotropic elasticity with an eye towards lightweight design
This page was built for publication: Direct Elastic Imaging of a Small Inclusion