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- W4387483914 abstract "Abstract A nonlinear optimization method is proposed for the solution of inverse medium problems
with spatially varying properties. To avoid the prohibitively large number of unknown
control variables resulting from standard grid-based representations, the misfit is instead
minimized in a small subspace spanned by the first few eigenfunctions of a judicious elliptic
operator, which itself depends on the previous iteration. By repeatedly adapting both the
dimension and the basis of the search space, regularization is inherently incorporated at each
iteration without the need for extra Tikhonov penalization. Convergence is proved under
an angle condition, which is included into the resulting Adaptive Spectral Inversion (ASI)
algorithm. The ASI approach compares favorably to standard grid-based inversion using
L2-Tikhonov regularization when applied to an elliptic inverse problem. The improved
accuracy resulting from the newly included angle condition is further demonstrated via
numerical experiments from time-dependent inverse scattering problems." @default.
- W4387483914 created "2023-10-11" @default.
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- W4387483914 date "2023-10-10" @default.
- W4387483914 modified "2023-10-16" @default.
- W4387483914 title "Adaptive Spectral Inversion for inverse medium problems" @default.
- W4387483914 doi "https://doi.org/10.1088/1361-6420/ad01d4" @default.
- W4387483914 hasPublicationYear "2023" @default.
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