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An iterative ensemble Kalman method for an inverse scattering problem in acoustics

    https://doi.org/10.1142/S0217984920503121Cited by:2 (Source: Crossref)

    This paper studies an inverse problem of reconstructing a sound-soft obstacle from a homogeneous medium. We deal with it in the framework of statistical inversion and adopt an iterative ensemble Kalman algorithm to reconstruct the boundary. Some numerical examples show that the algorithm is effective and it can recover the shape of the boundary using one or several of the incident waves.