Effective Medium Theory for Embedded Obstacles in Elasticity with Applications to Inverse Problems
From MaRDI portal
Publication:5073748
DOI10.1137/21M1431369zbMath1495.35024arXiv2102.09291OpenAlexW3130491817MaRDI QIDQ5073748
Hongyu Liu, Qingle Meng, Zheng-Jian Bai, Huai-An Diao
Publication date: 3 May 2022
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.09291
asymptotic analysiselastic scatteringvariational analysisLamé operatoreffective medium theoryembedded obstacleinverse elastic problems
Variational methods applied to PDEs (35A15) Wave scattering in solid mechanics (74J20) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Resonance in context of PDEs (35B34) Boundary value problems for second-order elliptic systems (35J57)
Related Items
The interior inverse scattering problem for a two-layered cavity using the Bayesian method, Inverse Random Potential Scattering for Elastic Waves, Spectral properties of an acoustic-elastic transmission eigenvalue problem with applications, Spectral Patterns of Elastic Transmission Eigenfunctions: Boundary Localization, Surface Resonance, and Stress Concentration, Stability of inverse scattering problem for the damped biharmonic plate equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Uniqueness and Lipschitz stability for the identification of Lamé parameters from boundary measurements
- Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators
- A neural network scheme for recovering scattering obstacles with limited phaseless far-field data
- Nearly cloaking the elastic wave fields
- On the scattering amplitudes for elastic waves
- Global uniqueness for an inverse boundary problem arising in elasticity
- Inverse acoustic and electromagnetic scattering theory.
- Scattering theorems for complete dyadic fields
- On the interior transmission problem in nondissipative, inhomogeneous, anisotropic elasticity
- Oscillating-decaying solutions, Runge approximation property for the anisotropic elasticity system and their applications to inverse problems
- Singular perturbation of reduced wave equation and scattering from an embedded obstacle
- On the uniqueness of the shape of a penetrable, anisotropic obstacle
- On generalized Holmgren's principle to the Lamé operator with applications to inverse elastic problems
- The interior transmission eigenvalue problem for elastic waves in media with obstacles
- Further results on generalized Holmgren's principle to the Lamé operator and applications
- Recovering a polyhedral obstacle by a few backscattering measurements
- Recovery of an embedded obstacle and the surrounding medium for Maxwell's system
- Recovering complex elastic scatterers by a single far-field pattern
- The Calderón problem with partial data
- Linear sampling methods for 2D inverse elastic wave scattering
- Recovering an electromagnetic obstacle by a few phaseless backscattering measurements
- The low-frequency theory of elastic wave scattering
- Stable Determination of a Rigid Scatterer in Elastodynamics
- The Calderón problem with partial data in two dimensions
- A uniqueness theorem in inverse scattering of elastic waves
- On the far-field operator in elastic obstacle scattering
- On the inverse boundary value problem for linear isotropic elasticity
- Recovery of an embedded obstacle and its surrounding medium from formally determined scattering data
- A partial data problem in linear elasticity
- On a local geometric property of the generalized elastic transmission eigenfunctions and application
- Inverse problems for partial differential equations
