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We discuss the reconstruction of flows in the interior of the sun from correlation measurements of line-of-sight velocities on the solar surface. Since these measurements are extremely noisy, it is mandatory to determine and use the covariance structure of the noise. The expected value of the data corresponds to the imaginary part of Green's function for an acoustic time-harmonic wave equation. We discuss computational and theoretical results for this large scale inverse problem.
This presentation is part of Minisymposium “MS54 - Hybrid Approaches that Combine Deterministic and Statistical Regularization for Applied Inverse Problems (4 parts)”
organized by: Cristiana Sebu (University of Malta) , Taufiquar Khan (Clemson University) .