English

Reconstruction of penetrable obstacles in the anisotropic acoustic scattering

Analysis of PDEs 2014-02-17 v1

Abstract

We develop reconstruction schemes to determine penetrable obstacles in a region of \mathbb{R}^{2} or \mathbb{R}^{3} and we consider anisotropic elliptic equations. This algorithm uses oscillating-decaying solutions to the equation. We apply the oscillating-decaying solutions and the Runge approximation property to the inverse problem of identifying an inclusion in an anisotropic elliptic differential equation.

Keywords

Cite

@article{arxiv.1402.3574,
  title  = {Reconstruction of penetrable obstacles in the anisotropic acoustic scattering},
  author = {Yi-Hsuan Lin},
  journal= {arXiv preprint arXiv:1402.3574},
  year   = {2014}
}

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18 pages