# Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles

@article{Hu2020DirectAI, title={Direct and inverse time-harmonic elastic scattering from point-like and extended obstacles}, author={Guanghui Hu and Andrea Mantile and Mourad Sini and Tao Yin}, journal={Inverse Problems \& Imaging}, year={2020} }

This paper concerns the time-harmonic direct and inverse elastic scattering by an extended rigid elastic body surrounded by a finite number of point-like obstacles. We first justify the point-interaction model for the Lame operator within the singular perturbation approach. For a general family of pointwise-supported singular perturbations, including anisotropic and non-local interactions, we derive an explicit representation of the scattered field. In the case of isotropic and local point…

## 2 Citations

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Abstract. Let ∆α,Y be the bounded from above self-adjoint realization in L (R) of the Laplacian with n point scatterers placed at Y = {y1, . . . , yn} ⊂ R, the parameters (α1, . . . αn) ≡ α ∈ R being…

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