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The singular sources method for an inverse problem with mixed boundary conditions

Fotouhi, M ; Sharif University of Technology | 2005

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  1. Type of Document: Article
  2. DOI: 10.1016/j.jmaa.2004.12.037
  3. Publisher: 2005
  4. Abstract:
  5. We use the singular sources method to detect the shape of the obstacle in a mixed boundary value problem. The basic idea of the method is based on the singular behavior of the scattered field of the incident point-sources on the boundary of the obstacle. Moreover we take advantage of the scattered field estimate by the backprojection operator. Also we give a uniqueness proof for the shape reconstruction. © 2004 Elsevier Inc. All rights reserved
  6. Keywords:
  7. Singular sources method ; Mixed boundary conditions ; Inverse scattering
  8. Source: Journal of Mathematical Analysis and Applications ; Volume 306, Issue 1 , 2005 , Pages 122-135 ; 0022247X (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0022247X04010509