Recovering the impedance function or shape of elastic obstacle from partial Cauchy data

Boundary element methods applied to problems in solid mechanics (74S15) Inverse problems for PDEs (35R30) Inverse problems for waves in solid mechanics (74J25) Numerical methods for inverse problems for boundary value problems involving PDEs (65N21) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Cites Work

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An integral equations method combined minimum norm solution for 3D elastostatics Cauchy problem
An invariant method of fundamental solutions for the Cauchy problem in two-dimensional isotropic linear elasticity
Simultaneous reconstruction of shape and impedance in corrosion detection
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Recovering an electromagnetic obstacle by a few phaseless backscattering measurements
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Solving Cauchy problems by minimizing an energy-like functional
Recovering multiscale buried anomalies in a two-layered medium
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Some inverse problems arising from elastic scattering by rigid obstacles
On a Hybrid Approach for Recovering Multiple Obstacles
Recovering piecewise constant refractive indices by a single far-field pattern
Inverse Acoustic and Electromagnetic Scattering Theory
Mathematical Methods in Elasticity Imaging
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Linear integral equations
Singular boundary method: a review and computer implementation aspects
Recovering source location, polarization, and shape of obstacle from elastic scattering data
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Application of neural networks to inverse elastic scattering problems with near-field measurements
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Extended Sampling Method for Inverse Elastic Scattering Problems Using One Incident Wave
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The method of fundamental solutions for the high frequency acoustic-elastic problem and its relationship to a pure acoustic problem
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A boundary integral equation method for the fluid-solid interaction problem

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