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Abstract
This paper is concerned with an inverse problem to recover an impenetrable solid in an unbounded stationary flow which is modeled by the Stokes equation with a Dirichlet or Robin boundary condition. We propose three simple imaging techniques for detecting the shape and location of the solid by extending the well-known linear sampling method, factorization method, and generalized linear sampling method for wave equations, where only the velocity field measurements are taken on a closed surface around the solid. Several numerical examples are carried out to illustrate the effectiveness of the reduced inversion algorithm.
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