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Optimal Mesh Size for Inverse Medium Scattering Problems

by H. Ammari and Y.T. Chow and K. Liu

(Report number 2018-37)

Abstract
An optimal mesh size of the sampling region can help to reduce computational burden in practical applications. In this work, we investigate optimal choices of mesh sizes for the identifications of medium obstacles from either the far-field or near-field data in two and three dimensions. The results would have applications in the reconstruction process of inverse scattering problems.

Keywords: Optimal mesh size, inclusion reconstruction, inverse medium scattering problems.

@Techreport{ACL18_791,
  author = {H. Ammari and Y.T. Chow and K. Liu},
  title = {Optimal Mesh Size for Inverse Medium Scattering Problems},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2018-37},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2018/2018-37.pdf },
  year = {2018}
}

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