• Corpus ID: 245650703

Least-Squares Method for Inverse Medium Problems

@article{Ito2022LeastSquaresMF,
  title={Least-Squares Method for Inverse Medium Problems},
  author={Kazufumi Ito and Ying Liang and Jun Zou},
  journal={ArXiv},
  year={2022},
  volume={abs/2201.00280}
}
We present a two-stage least-squares method to inverse medium problems of reconstructing multiple unknown coefficients simultaneously from noisy data. A direct sampling method is applied to detect the location of the inhomogeneity in the first stage, while a total least-squares method with mixed regularization is used to recover the medium profile in the second stage. The total least-squares method is designed to minimize the residual of the model equation and the data fitting, along with an… 

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