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STRENGTHENED LINEAR SAMPLING METHOD WITH A REFERENCE BALL
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DOI：10.1137/080734170.png)
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By adding a reference ball as an extra artificial obstacle component to the underlying scattering system, we propose a simple but robust and effective technique to choose the crucial cut-off value required in the linear sampling method (LSM) for inverse scattering problems. The reference ball technique causes few extra computational costs to the LSM, but brings in a practically important byproduct, i.e., it eliminates the interior eigenvalue problem automatically, a well-known barrier when applying the LSM. Some mathematical justifications of the new technique are provided, and numerical experiments are also presented to demonstrate its feasibility and effectiveness.
Keyword:
inverse scattering problems
linear sampling method
cut-off value
interior eigenvalue problems
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2.6
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