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• W2040827145 abstract "Abstract We consider the time-harmonic inverse medium problem, which finds many applications in science and engineering (e.g. optical tomography, seismic imaging, and non-destructive testing). It leads to large-scale non-convex PDE-constrained optimization problems and requires multiple solutions of notoriously di_cult Helmholtz-type equations. A priori knowledge about the medium is also included through box constraints and thus avoid false solutions. The resulting nonconvex optimization problem is solved by a primal-dual interior-point algorithm, which is based on a full-space primal-dual approach to achieve feasibility and optimality simultaneously. It is combined with a sparse matrix factorization solver to attain a high level of performance and scalability on massively parallel architectures. We discuss the potential of the inversion method for a multi-layered inverse medium problem arising in seismic imaging and computational results are reported for seismic inversion examples on up to 1,024 cores of a Cray XE6." @default.
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• W2040827145 date "2011-01-01" @default.
• W2040827145 modified "2023-09-25" @default.
• W2040827145 title "Interior Point Methods for the Inverse Medium Problem on Massively Parallel Architectures" @default.
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• W2040827145 doi "https://doi.org/10.1016/j.procs.2011.04.159" @default.
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